¶
A
REGIMENT
for
the
Sea
:
Conteyning
most
profitable
Rules
,
Mathematical
experiences
,
and
perfect
knowledge
of
Nauigation
,
for
all
Coastes
and
Countreys
:
most
needefull
and
necessarie
for
all
Seafaring
men
and
Trauellers
,
as
Pilotes
,
Mariners
,
Marchants
.
&c.
Exactly
deuised
and
made
by
William
Bourne
.
¶
Imprinted
at
London
by
Thomas
Hacket
,
and
are
to
be
solde
at
his
shop
in
the
Royall
Exchaunge
,
at
the
Signe
of
the
Greene
Dragon
.
¶
TO
THE
RIGHT
Honorable
,
Edwarde
Earle
of
Lincolne
,
Baron
of
Clinton
and
Say
,
Knight
of
the
Noble
order
of
the
Garter
,
Lorde
highe
Admirall
of
Englande
,
Irelande
,
and
Wales
,
and
of
the
Dominions
and
Iles
thereof
,
of
the
Towne
of
Calice
,
and
Marches
of
the
same
,
Normandie
,
Gascoygne
and
Guyone
,
and
Captayne
generall
of
the
Queenes
Maiesties
Seas
and
Nauy
Royall
:
William
Bourne
wisheth
increase
of
honor
in
perfect
health
.
RIghte
honorable
and
my
singular
good
Lord
and
Master
,
when
I
had
often
repeated
and
called
to
my
remembraunce
the
opinion
and
sayings
of
the
sage
and
auncient
Writers
,
that
one
man
should
be
an
instructer
to
an
other
,
by
seeking
and
paynes
taking
to
doe
them
good
:
so
at
sundry
times
haue
I
studied
and
deuised
with
my selfe
what
thing
to
take
in
●●nde
that
might
most
profite
my
friends
,
and
my
〈◊〉
countrey
:
and
at
the
length
it
came
vnto
my
remembrance
how
necessarie
a
thing
it
was
for
Seafaring
men
to
haue
some
good
instructions
,
whervpon
I
haue
written
this
base
and
simple
Regiment
for
the
Sea
,
and
Rules
of
Nauigation
,
for
that
I
knowe
it
to
be
so
needefull
and
necessarie
for
all
sortes
of
Sea
men
.
Therfore
at
sundrie
times
as
I
haue
had
leasure
,
I
haue
compyled
and
written
this
base
and
simple
worke
,
calling
to
remembraunce
the
saying
of
Plinie
,
who
thought
all
that
time
lost
which
he
did
not
bestowe
at
his
booke
:
I
beeing
of
all
other
most
simple
,
yet
notwithstanding
this
enterprise
haue
I
taken
in
hande
,
to
publishe
this
simple
booke
vnto
all
men
.
And
for
that
,
all
my
labours
be
due
vnto
your
Honorable
Lordship
,
according
to
my
bounden
dutie
I
preferre
it
vnto
your
Honor
,
hoping
that
your
Lordship
will
voutchsafe
to
take
it
in
good
parte
,
and
to
receyue
this
barbarous
worke
,
more
to
take
it
as
my
good
will
(
whiches
is
to
offer
things
of
much
more
excellencie
)
than
the
finenesse
of
the
worke
,
for
that
it
is
but
simple
.
AÂnd
so
shall
I
not
onely
be
satisfied
,
but
also
further
encouraged
heereafeer
to
trauell
,
according
to
the
simple
gifte
and
talent
that
God
hath
giuen
vnto
me
:
for
that
it
is
not
altogither
gathered
out
of
other
bokes
,
but
that
the
greatest
part
is
deuised
and
practised
by
me
.
Therefore
I
trust
my
labours
(
suche
as
they
be
)
shall
not
hynder
the
cunning
and
learned
sorte
,
but
further
the
late
beginners
that
are
as
yet
not
well
instructed
.
And
thus
I
ceasse
to
trouble
your
honorable
Lordeship
any
longer
,
desiring
you
to
take
this
simple
thing
in
good
part
,
as
a
true
token
and
signe
of
my
good
will
,
beseeching
God
of
his
grace
to
prosper
your
Lordship
in
honor
and
vertue
,
with
perfect
health
.
Amen
.
By
your
Honors
poore
seruant
William
Bourne
.
❧
The
Preface
to
the
Reader
.
IN
my
opinion
(
gentle
Reader
)
which
also
is
the
saying
and
writing
of
all
the
Philosophers
,
those
thinges
are
moste
principally
to
be
taught
and
maynteined
,
whiche
in
the
common
wealth
are
moste
profitable
and
necessarie
.
Then
may
I
boldely
say
(
without
iust
cause
of
reproofe
)
and
affirme
,
that
Nauigation
is
not
the
least
but
one
of
the
principal
matters
to
be
knowne
,
as
this
time
dothe
require
:
Considering
the
state
and
scituation
of
our
countrie
,
for
that
we
be
inuironed
rounde
aboute
with
the
Sea
,
so
that
we
neither
can
go
out
of
our
countrie
,
neyther
they
that
are
of
other
countries
can
come
at
vs
,
but
onely
by
Sea
.
These
things
(
I
say
)
considered
,
what
can
there
be
more
necessarie
to
be
taught
in
our
common
wealth
than
Nauigation
,
considering
also
what
Nauigation
is
:
as
Nauigation
is
how
to
direct
ones
course
vpon
or
thorow
the
sea
,
where
he
findeth
no
path
to
any
place
assigned
,
and
how
to
attayne
the
porte
or
place
appointed
in
shortest
time
,
how
also
to
preserue
the
shippe
and
goodes
in
al
common
disturbances
,
as
stormes
,
daungers
by
the
way
,
and
such
other
like
&c.
Moreouer
and
besides
that
,
it
is
not
vnknowne
howe
necessarie
Nauigation
is
,
both
for
the
transportation
of
our
commodities
,
to
find
vent
for
them
in
other
countries
(
whereby
no
small
numbre
of
people
is
set
a
worke
in
England
)
and
also
the
bringing
of
other
commodities
(
that
we
haue
neede
of
)
vnto
vs
,
by
which
meanes
the
Queenes
Maiestie
receyueth
no
small
benefite
for
hir
customes
.
&c.
And
furthermore
,
for
that
Nauigation
is
the
chiefe
force
and
strength
of
our
countrie
,
which
whether
it
be
true
I
referre
to
the
iudgement
of
all
men
,
and
although
I
be
but
simple
(
gentle
Reader
)
&
a
great
number
of
excellent
learned
men
in
the
Mathematicall
Science
haue
written
diuerse
bookes
of
Cosmographie
and
Nauigation
,
yet
notwithstanding
I
haue
written
this
Regiment
for
the
Sea
with
a
fewe
rules
of
Nauigation
,
as
it
were
a
nosegay
whose
floures
are
of
mine
owne
gathering
.
And
albeit
the
learned
sorte
of
Seafaring
men
haue
no
neede
of
this
booke
,
yet
am
I
assured
that
it
is
a
necessarie
booke
for
the
simplest
sort
of
Seafaring
men
:
for
that
they
shall
finde
here
the
names
of
the
circles
in
the
sphere
,
with
the
names
of
diuerse
things
meete
for
Nauigation
,
togither
with
their
vses
,
which
the
most
parte
of
Sea
men
do
mistake
or
misse
call
:
neyther
do
they
know
the
vse
of
them
being
yet
most
necessarie
for
them
that
vse
Nauigation
,
in
whiche
also
there
is
a
table
of
declination
calculated
for
.4
.
yeres
,
(
that
is
to
say
,
for
the
yeare
of
our
Lord
.1573
.
the
firste
after
Bissextilis
,
the
yeare
.1574
.
beyng
the
second
yeare
,
&
the
yeare
.1575
.
which
is
the
third
yeare
,
with
the
yeare
.1576
.
whiche
is
the
yeare
of
Bissextilis
or
leape
yeare
it selfe
)
whiche
the
Sea
men
do
call
a
Regiment
,
and
will
serue
for
.24
.
yeare
without
any
great
errour
:
and
is
exactly
calculated
for
the
Longitude
of
London
for
the
instant
time
of
noone
,
and
will
serue
all
Europe
and
Affrica
,
neare
vnto
the
coast
of
America
without
much
errour
,
sauing
in
Februarie
,
Marche
or
September
,
whilest
the
sunne
hath
swifte
declination
.
But
in
Iune
and
December
it
will
serue
al
the
world
ouer
:
bycause
the
sunne
hath
but
slowe
declination
,
&c.
And
also
there
be
other
necessarie
rules
of
Nauigation
to
know
how
to
handle
the
Sunnes
declination
,
to
knowe
the
altitude
of
eyther
of
the
.2
Poles
,
(
as
the
contentes
of
the
booke
do
shewe
)
with
other
necessarie
things
meete
to
be
knowne
in
Nauigation
,
and
not
mentioned
in
the
booke
of
Martin
Curtise
called
the
Arte
of
Nauigation
.
Neyther
doe
I
meane
to
write
of
any
thing
mentioned
in
that
booke
:
for
that
it
is
there
sufficiently
declared
already
.
And
thus
(
gentle
Readers
)
I
desire
you
to
beare
with
my
rudenesse
,
that
I
shoulde
take
vpon
me
to
open
any
science
,
for
that
I
am
vtterly
vnlearned
,
and
without
helpe
of
any
learned
persons
,
desiring
you
not
to
conceyue
any
euil
opinion
of
me
,
but
to
take
it
as
my
good
will
,
minding
to
profite
my
natiue
Countrey
as
muche
as
lyeth
in
me
.
Notwithstanding
it
is
possible
that
some
people
will
be
offended
with
me
,
that
I
shoulde
write
this
simple
Treatise
,
but
then
I
consider
agayne
,
and
knowe
,
that
vertue
lacketh
no
enimies
and
defacers
,
and
vyce
lacketh
no
friendes
and
maynteyners
,
so
that
knowledge
lacketh
no
contempt
,
neyther
ignorance
lacketh
furtherance
,
&
especially
among
all
people
there
is
none
more
ready
to
contemne
,
than
the
ignorant
sort
:
for
ignoraunce
is
the
father
of
all
errours
and
the
mother
of
contention
.
And
thus
I
drawe
to
ende
,
desiring
you
to
take
this
simple
worke
in
good
part
,
being
willing
to
pleasure
my
natiue
countrie
according
to
the
simple
talent
that
God
hath
giuen
me
And
whereas
you
finde
any
errour
I
pray
you
let
me
gently
vnderstand
,
for
I
thinke
not
that
I
cause
circumspectly
worke
but
I
may
be
deceyued
,
for
man
cannot
be
so
precise
but
he
may
erre
,
and
I
haue
seldome
heard
of
any
the
best
Authours
but
he
hath
erred
in
some
poynt
:
therefore
in
those
things
that
he
knoweth
not
of
himselfe
he
muste
needes
follow
his
Authour
,
and
if
his
Author
doe
erre
he
must
needes
fall
into
that
errour
that
his
Author
dothe
.
And
furthermore
,
a
numbre
of
people
there
be
that
deuise
nothing
els
but
lies
and
slaunders
,
yea
,
and
those
which
cannot
attayne
to
any
thing
themselues
,
doe
hate
all
those
that
be
not
ignorant
as
they
themselues
be
:
for
the
corrupt
nature
of
man
is
suche
,
that
it
is
a
corsey
to
their
harts
that
any
should
be
commended
before
themselues
,
for
generally
amongst
all
people
of
the
earth
(
whiche
is
innumerable
)
euery
seuerall
person
thinketh
himselfe
most
worthie
,
imagining
themselues
to
haue
no
fellowes
:
suche
is
the
Diuill
in
the
harte
of
man
,
pampering
mans
hart
so
with
pryde
to
thinke
he
hath
no
fellow
,
whereas
man
of
himselfe
is
not
able
to
do
any
good
thing
,
no
not
to
thinke
one
good
thought
,
but
by
the
only
might
and
prouidence
of
almighty
God
,
therefore
of
our selues
we
can
do
nothyng
that
is
good
.
And
thus
gentle
Reader
I
make
an
end
.
If
this
simple
and
barbarous
thing
be
taken
in
good
parte
,
then
looke
for
other
of
my
workes
shortly
,
and
beare
him
good
will
that
studieth
for
the
benefite
of
his
natiue
countrie
,
desiryng
God
of
his
grace
,
that
I
and
you
may
do
that
thing
that
may
be
to
the
laude
,
prayse
and
glory
of
God
,
to
our
commoditie
and
soules
health
,
to
the
profite
of
our
brethren
,
and
the
common
wealth
of
this
our
realme
.
Thus
I
betake
you
to
Almightie
God
the
creator
of
all
things
,
praying
him
that
both
I
&
you
may
after
this
life
rest
in
the
kingdome
of
heauen
,
with
Abraham
,
Isaac
and
Iacob
,
there
to
remayne
world
without
ende
.
Amen
.
I.
H.
In
commendation
of
the
Booke
.
WHo
so
thou
art
that
mindst
to
passe
the
seas
,
By
Compasse
,
Carde
,
the
Sunne
,
or
starrie
skie
,
Marke
well
this
worke
,
and
gayne
thereby
such
ease
,
As
shall
attayne
thee
profite
great
perdie
,
Such
rules
hath
Bourne
directed
to
thine
eye
,
That
euen
by
them
,
if
saylings
art
were
gone
,
Thou
mightst
by
these
direct
thy
course
alone
.
T.
H.
In
prayse
of
the
Author
.
WHo
trauels
Countries
gaine
is
worthy
of
great
prayse
:
as
those
that
were
before
our
time
&
y
in
sundry
ways
.
Whose
actes
do
so
excell
,
they
pierce
the
loftie
skies
that
in
good
artes
for
common
weale
,
both
wit
&
will
applies
For
those
that
were
tofore
,
haue
bene
aduanst
by
fame
,
by
due
desert
,
by
doing
well
,
haue
merited
the
same
.
As
Authors
old
can
tell
,
who
list
in
them
to
reade
who
were
inuenters
of
the
same
which
dayly
now
procéede
In
rule
of
publike
weale
,
our
Ioue
it
first
began
and
plast
it
here
in
all
estates
,
for
the
behoofe
of
man
.
So
now
thou
Seamen
eke
,
that
spredst
abroad
thy
sayle
be
thankfull
for
thy
Author
here
,
whiche
is
for
thy
auayle
.
Whose
trauaile
and
whose
toyle
is
thy
behoofe
and
gayne
,
if
thou
dost
reape
what
he
did
sow
,
it
quiteth
wel
his
paine
,
And
thankfulnesse
is
due
,
to
euery
liuing
wight
,
and
doth
perteyne
to
euery
man
,
but
yet
to
God
by
right
.
To
whom
be
praise
for
euermore
,
which
ruleth
globe
&
sphere
,
who
graunt
vs
grace
to
do
his
will
,
while
we
be
liuing
here
.
FINIS
.
A.
R.
To
the
Author
.
WHy
doest
thou
Bourne
thy selfe
hold
backe
not
doing
what
thou
shouldst
?
Me
thinkes
I
heare
thée
Answere
make
that
if
thou
durst
thou
wouldst
.
Whereof
art
thou
afrayde
?
tell
forth
to
me
thy
doubtfull
case
:
To
vtter
truth
no
man
there
is
that
ones
will
hide
his
face
.
Perhaps
thou
fearst
the
scoffing
kin●
of
Momus
dearlings
deare
,
Perhaps
againe
thou
standst
in
doubt
,
and
art
now
dasht
with
feare
.
To
see
these
shaking
quaking
réedes
that
bend
with
euery
blast
,
Looke
frowning
on
this
booke
,
in
which
great
paine
bestowd
thou
hast
.
Why
did
not
then
Demosthenes
his
workes
hide
out
of
sight
?
Why
did
not
Tullie
stay
his
pen
,
when
he
began
to
write
?
If
taunting
tongue
of
Momus
then
had
bene
so
rife
as
now
Thou
thinkst
perchance
they
would
haue
fear●
the
same
as
well
as
thou
.
No
sure
thou
art
deceyud
:
there
were
as
many
lightbraynes
then
,
As
there
be
now
in
these
our
dayes
to
carpe
at
painfull
penne
.
But
Countries
profite
lo
it
was
that
caused
them
to
write
,
And
prayse
of
good
men
did
prouoke
their
workes
to
come
to
light
.
And
hast
not
thou
spent
all
the
time
of
writing
this
thy
booke
For
countries
sake
,
to
profite
all
that
will
vouchsafe
to
looke
Thereon
?
behold
what
prayse
he
reapt
that
ship
did
first
inuent
:
It
cannot
be
but
they
which
reade
perceiue
shall
thine
intent
.
Can
any
deeme
amisse
of
thee
that
vse
of
ship
hast
told
,
When
ships
inuentor
gayned
hath
such
prayses
manifold
?
Doest
thou
not
know
inuention
what
of
it
may
be
thought
,
When
vse
and
sauegarde
of
the
same
there
is
none
knoweth
ought
?
The
Prouerbe
sayth
,
a
thing
that
is
to
big
to
gripe
in
hand
,
Can
not
be
holden
lenger
than
the
siefe
can
holde
the
sand
.
In
booke
it
cannot
be
denied
but
thou
hast
taken
payne
To
set
forth
playne
the
vse
of
sayle
for
Countries
common
gayne
.
Although
I
know
how
odious
comparisons
be
still
,
Be
sure
examples
take
thou
mayst
and
vse
them
at
thy
will
.
Sith
therefore
thou
example
hast
of
famous
memorie
,
Demonsthenes
and
Tullie
eke
extold
vnto
the
skie
,
Wh
'
excelling
farre
all
other
men
in
Gréeke
and
Latine
phrase
Were
subiect
yet
to
Sicophantes
and
vnder
Momus
blase
.
Thou
hast
besides
all
this
,
the
truth
by
practise
truly
tride
,
Whereby
if
any
kicke
at
thée
they
may
be
soone
espide
.
Of
good
men
I
dare
boldly
say
that
good
will
thou
shalt
haue
,
For
euill
of
thée
they
none
will
speake
,
and
prayse
thou
doest
not
craue
.
Therefore
I
wishe
thee
naught
to
feare
the
force
that
tongues
can
bende
But
still
the
worke
thou
hast
begonne
to
bryng
to
perfect
ende
.
FINIS
.
The
Kalender
.
Ianuary
hath
.xxxj.
dayes
.
3
|
1
|
A
|
Newyeres
day
.
|
|
2
|
b
|
Octa.
Stepha
.
|
11
|
3
|
c
|
Octa.
Iohn
.
|
|
4
|
d
|
Octa.
Inno.
|
19
|
5
|
e
|
Thelosopho
.
vi
.
|
8
|
6
|
f
|
Twelfth
day
.
|
|
7
|
g
|
Iulian
mart
.
|
16
|
8
|
A
|
Seuerine
bish.
|
5
|
9
|
b
|
Martian
Virg.
|
|
10
|
c
|
Paule
first
●er
.
|
13
|
11
|
d
|
Sun
in
Aquari
.
|
2
|
12
|
e
|
Satire
Mar.
|
|
13
|
f
|
Oct.
Epiphani
.
|
10
|
14
|
g
|
Isidore
martyr
.
|
|
15
|
A
|
Maurice
.
|
18
|
16
|
b
|
Anthonie
Abbot
.
|
7
|
17
|
c
|
Marcelle
bish.
|
|
18
|
d
|
Prisce
Virg.
|
15
|
19
|
e
|
Mari.
and
his
fel.
|
4
|
20
|
f
|
Fabian
and
Sa.
|
|
21
|
g
|
Agnus
virg.
|
12
|
22
|
A
|
Vincent
mar
.
|
1
|
23
|
b
|
Emerice
.
|
|
24
|
c
|
Timothie
disci
.
|
9
|
25
|
d
|
Con.
of
Paule
.
|
|
26
|
e
|
Policarp
.
mart
.
|
17
|
27
|
f
|
Chrysost.
Doct.
|
6
|
28
|
g
|
Theodore
.
|
|
29
|
A
|
Valerie
bish.
|
14
|
30
|
b
|
Tran.
S.
Mark.
|
3
|
31
|
c
|
Ciri
.
and
Ian.
|
February
hath
.xxviij.
dayes
,
and
in
the
yere
of
Bissextilis
.xxix.
dayes
.
|
1
|
d
|
Briget
.
Fast
.
|
11
|
2
|
e
|
Purific
.
of
Mary
.
|
19
|
3
|
f
|
Blase
mart
.
|
8
|
4
|
g
|
Gilbert
confes
.
|
|
5
|
A
|
Agathe
virgin
.
|
16
|
6
|
b
|
Dorothe
virgin
.
|
5
|
7
|
c
|
Amandus
bish.
|
|
8
|
d
|
Salomon
.
|
13
|
9
|
e
|
Sun
in
Pisces
.
|
2
|
10
|
f
|
Sother
bishop
.
|
|
11
|
g
|
|
10
|
12
|
A
|
Eufrase
virgin
.
|
|
13
|
b
|
Valentine
bishop
.
|
18
|
14
|
c
|
Faustine
bishop
.
|
7
|
15
|
d
|
Iulian
virg.
|
|
16
|
e
|
Constance
virgin
.
|
15
|
17
|
f
|
Simeon
martyr
.
|
4
|
18
|
g
|
Gabine
Priest
.
|
|
9
|
A
|
|
12
|
20
|
b
|
60.
Martyres
.
|
1
|
21
|
c
|
70.
Martyres
.
|
|
22
|
d
|
Peters
chayre
.
|
9
|
23
|
e
|
Sirener
.
Fast
.
|
|
24
|
f
|
Mathie
Apostle
.
|
17
|
25
|
g
|
Policar
.
bishop
.
|
6
|
26
|
A
|
Victor
and
his
fel.
|
|
27
|
b
|
Augustine
bishop
.
|
14
|
28
|
c
|
Oswald
bishop
.
|
Marche
hath
.xxxj.
dayes
.
3
|
1
|
d
|
Dauid
bishop
.
|
|
2
|
e
|
Basilic
mart
.
|
11
|
3
|
f
|
Maxime
mart
.
|
|
4
|
g
|
Lucius
mart
.
|
19
|
5
|
A
|
Focius
mart
.
|
8
|
6
|
b
|
Vict.
and
Venin
.
|
|
7
|
c
|
Tho.
de
Aquin.
|
16
|
8
|
d
|
Apoline
mart
.
|
5
|
9
|
e
|
40.
Martyres
.
|
|
●0
|
f
|
Gregorie
bishop
.
|
13
|
11
|
g
|
Sun
in
Aries
.
|
2
|
12
|
A
|
Zacharie
bish.
|
|
13
|
b
|
Longine
mart
.
|
10
|
14
|
c
|
Patricius
bish.
|
|
15
|
d
|
Gertrude
vir
.
|
18
|
16
|
e
|
Anselme
.
|
7
|
17
|
f
|
Edward
king
.
|
|
18
|
g
|
Ioseph
.
spon
.
|
15
|
19
|
A
|
Cutbert
bishop
.
|
4
|
20
|
b
|
Benedict
.
Ab.
|
|
21
|
c
|
Astrodose
bishop
.
|
12
|
22
|
d
|
Pig●ent
bish.
|
1
|
23
|
e
|
Theodore
.
|
|
24
|
f
|
Fast
.
|
9
|
25
|
g
|
Annun
of
Mary
.
|
|
26
|
A
|
Castore
mart
.
|
17
|
27
|
b
|
Iohn
Heremi
.
|
6
|
28
|
c
|
Dorothe
mart
.
|
|
29
|
d
|
Eustace
.
|
14
|
30
|
e
|
Sabine
vir
.
|
3
|
31
|
f
|
Balbine
vir
.
|
Aprill
hath
.xxx
dayes
.
|
1
|
g
|
Theodore
virg.
|
11
|
2
|
A
|
Mary
Egypti
.
|
19
|
3
|
b
|
Richarde
bish.
|
8
|
4
|
c
|
Ambrose
bish.
|
|
5
|
d
|
Marci
and
Ma.
|
16
|
6
|
e
|
Sextus
mart
.
|
5
|
7
|
f
|
Euphemi
vir
.
|
|
8
|
g
|
Denise
mart
.
|
13
|
9
|
A
|
Perpetuns
bish.
|
2
|
10
|
b
|
Marcus
mart
.
|
|
11
|
c
|
Sun
in
Taurus
.
|
10
|
12
|
d
|
Appoline
mart
.
|
|
13
|
e
|
Sother
martyr
.
|
18
|
14
|
f
|
Tyburt
mart
.
|
7
|
15
|
g
|
Osmond
bishop
.
|
|
16
|
A
|
Isidore
bishop
.
|
15
|
17
|
b
|
Anicete
bishop
.
|
4
|
18
|
c
|
Eluther
bishop
.
|
|
19
|
d
|
Tiburtius
con
.
|
12
|
20
|
e
|
Herm●genes
.
|
1
|
21
|
f
|
Quintine
.
|
|
22
|
g
|
Clete
bishop
.
|
9
|
23
|
A
|
Gorge
mart
.
|
|
24
|
b
|
Wilfride
cen
.
|
17
|
25
|
c
|
Marke
Euan.
|
6
|
26
|
d
|
Anastate
bish.
|
|
27
|
e
|
Vitalis
mart
.
|
14
|
28
|
f
|
Peter
of
Mi.
|
3
|
29
|
g
|
Clete
bishop
.
|
|
30
|
A
|
Dep.
of
Erker
.
|
May
hath
.xxxj.
dayes
.
11
|
1
|
b
|
Philip
and
Iacob
.
|
|
2
|
c
|
Athanasius
bish.
|
19
|
3
|
d
|
Inu
.
of
the
crosse
.
|
8
|
4
|
e
|
Christopher
.
|
|
5
|
f
|
S.
Augustine
.
|
16
|
6
|
g
|
Iohn
port
lat.
|
5
|
7
|
A
|
Iohn
of
Beuer.
|
|
8
|
b
|
Appe.
of
Mich.
|
13
|
9
|
c
|
Trans
.
of
Ni.
|
2
|
10
|
d
|
Gordiane
.
|
|
11
|
e
|
Sun
in
Gemini
.
|
10
|
12
|
f
|
Victorius
mart
.
|
|
13
|
g
|
Seruacius
conf.
|
18
|
14
|
A
|
Boniface
mart
.
|
7
|
15
|
b
|
Sophia
virgin
.
|
|
16
|
c
|
Brandon
bishop
.
|
15
|
17
|
d
|
Trans
.
of
Bar.
|
4
|
18
|
e
|
Dioscor
.
mart
.
|
|
19
|
f
|
|
12
|
20
|
g
|
Dunstan
con.
|
1
|
21
|
A
|
Barnardine
.
|
|
22
|
b
|
Helene
queene
.
|
9
|
23
|
c
|
Petronill
.
|
|
24
|
d
|
Iulian
virg.
|
17
|
25
|
e
|
Desiderie
mart
.
|
6
|
26
|
f
|
Adelme
conf.
|
|
27
|
g
|
|
14
|
28
|
A
|
Germaine
bish.
|
3
|
29
|
b
|
Necomede
.
|
|
30
|
c
|
Corone
martyr
.
|
11
|
31
|
d
|
Felix
bishop
.
|
Iune
hath
xxx
.
dayes
.
19
|
1
|
e
|
Nicodeme
.
|
8
|
2
|
f
|
Erasmus
.
|
|
3
|
g
|
Basill
.
|
16
|
4
|
A
|
Marcel
.
martyr
.
|
5
|
5
|
b
|
Petrocius
con.
|
|
6
|
c
|
Boniface
bish.
|
13
|
7
|
d
|
Medard
and
Gil.
|
2
|
8
|
e
|
Trans
.
Edmond
.
|
|
9
|
f
|
Yuan
conf.
|
10
|
10
|
g
|
Tran.
of
Wol.
|
|
11
|
A
|
Barnabe
Apo.
|
18
|
12
|
b
|
Sun
in
Taurus
.
|
7
|
13
|
c
|
Anthonie
conf.
|
|
14
|
d
|
Basilides
conf.
|
15
|
15
|
e
|
Vate
modeste
.
|
4
|
16
|
f
|
Trans
.
Richar.
|
|
17
|
g
|
Botulphe
conf.
|
12
|
18
|
A
|
Exuperie
bish.
|
1
|
19
|
b
|
Geruasius
mar
.
|
|
20
|
c
|
Trans
.
Edwar.
|
9
|
21
|
d
|
Walburge
virg.
|
|
22
|
e
|
Albane
mart
.
|
17
|
23
|
f
|
Fast
.
|
6
|
24
|
g
|
Iohn
baptist
.
|
|
25
|
A
|
Trans
.
of
Elig
.
|
14
|
26
|
b
|
Iohn
and
Pa.
|
3
|
27
|
c
|
Crescent
mart
.
|
|
28
|
d
|
Fast
.
|
11
|
29
|
e
|
Peter
and
Paule
.
|
|
30
|
f
|
|
Iuly
hath
.xxxj.
dayes
.
19
|
1
|
g
|
Octa.
Iohn
Bap.
|
8
|
2
|
A
|
Visit
.
of
Mary
.
|
|
3
|
b
|
Gregerie
bishop
.
|
16
|
4
|
c
|
Domitius
mart
.
|
5
|
5
|
d
|
Parthene
con.
|
|
6
|
e
|
Procope
mart
.
|
13
|
7
|
f
|
Zenone
mart
.
|
2
|
8
|
g
|
Paternian
Bish.
|
|
9
|
A
|
Pius
bishop
.
|
10
|
10
|
b
|
Dog
dayes
be
.
|
|
11
|
c
|
Hex●aco
.
sor.
|
18
|
12
|
d
|
Anaclete
.
bishop
.
|
7
|
13
|
e
|
Quirine
and
Iu.
|
|
14
|
f
|
Sun
in
Le●
.
|
15
|
15
|
g
|
Marine
Vir.
|
4
|
16
|
A
|
Symph
.
cum
.
7.
|
|
17
|
b
|
Arlene
herem
.
|
12
|
18
|
c
|
Praxede
vir
.
|
1
|
19
|
d
|
Margar.
vir
.
|
|
20
|
e
|
Praxede
vir
.
|
9
|
21
|
f
|
Appoline
bishop
.
|
|
22
|
g
|
Mary
Magda
.
|
17
|
23
|
A
|
Christian
.
|
6
|
24
|
b
|
Fast
.
|
|
25
|
t
|
Iames
Apostle
.
|
14
|
26
|
d
|
Anne
mo
.
of
Ma.
|
3
|
27
|
e
|
Panthaleon
.
|
|
28
|
f
|
Sampson
bish.
|
11
|
29
|
g
|
Marie
virgin
.
|
|
30
|
A
|
Abbon
and
Sen.
|
19
|
31
|
b
|
German
bishop
.
|
August
hath
.xxxj
dayes
.
8
|
1
|
c
|
Lammas
.
|
16
|
2
|
d
|
Steuen
bishop
.
|
5
|
3
|
e
|
Finding
of
Ste.
|
|
4
|
f
|
Iustine
Priest
.
|
13
|
5
|
g
|
Festum
niuis
.
|
2
|
6
|
A
|
Trans
.
domi
.
|
|
7
|
b
|
Feast
of
Iesu
.
|
10
|
8
|
c
|
Cirack
.
&
his
fel.
|
|
9
|
d
|
Roman
mart
.
|
18
|
10
|
e
|
Laurence
mart
.
|
7
|
11
|
f
|
Tiburt
and
Su.
|
|
12
|
g
|
Clare
virgin
.
|
15
|
13
|
A
|
Ypolite
virgin
.
|
4
|
14
|
b
|
Sun
in
Virgo
.
|
|
15
|
c
|
Assump.
of
Mary
.
|
12
|
16
|
d
|
Roche
confess
.
|
1
|
17
|
e
|
Octa.
Laurence
.
|
|
18
|
f
|
Agapite
mart
.
|
9
|
19
|
g
|
Lewes
bishop
.
|
|
20
|
A
|
Dog
dayes
ende
.
|
17
|
21
|
b
|
Anastase
mart
.
|
6
|
22
|
c
|
Timo.
and
Hip.
|
|
23
|
d
|
Eleazor
.
Fast
.
|
14
|
24
|
e
|
Barthol
.
Apostle
.
|
3
|
25
|
f
|
Lewes
king
.
|
|
26
|
g
|
Zepherine
bish.
|
11
|
27
|
A
|
Rusus
mar
.
|
19
|
28
|
b
|
Augustine
bish.
|
|
29
|
c
|
Iohns
behead
.
|
8
|
30
|
d
|
Felix
and
Audact
.
|
|
31
|
e
|
Cuthbur
virg.
|
September
hath
.xxx
dayes
.
16
|
1
|
f
|
Giles
Abbot
.
|
5
|
2
|
g
|
Anthony
mart
.
|
|
3
|
A
|
Eupheme
.
|
13
|
4
|
b
|
Moyses
Pro.
|
2
|
5
|
c
|
Venturine
.
|
|
6
|
d
|
Zacharie
pro.
|
10
|
7
|
e
|
Enurce
bishop
.
|
|
8
|
f
|
Natiuitie
of
Ma.
|
18
|
9
|
g
|
Gorgone
mart
.
|
7
|
10
|
A
|
Nicholas
de
Tol.
|
|
11
|
b
|
Protece
and
Hi.
|
15
|
12
|
c
|
Sire
bishop
.
|
4
|
13
|
d
|
Philip
bishop
.
|
|
14
|
e
|
Sun
in
Libra
.
|
12
|
15
|
f
|
Ni●omede
priest
.
|
1
|
16
|
g
|
Edith
vir
.
|
|
17
|
A
|
Lambart
bishop
.
|
9
|
18
|
b
|
Victor
and
Coro
.
|
|
19
|
c
|
Eustace
.
|
17
|
20
|
d
|
Fast
.
|
6
|
21
|
e
|
Mathew
Apostle
.
|
|
22
|
f
|
Maurice
.
|
14
|
23
|
g
|
Line
Mart.
|
3
|
24
|
A
|
German
Abbot
.
|
|
25
|
b
|
Cleophin
and
Ap.
|
11
|
26
|
c
|
Ciprian
and
Iu.
|
19
|
27
|
d
|
Cosme
and
Da.
|
|
28
|
e
|
Exupere
bishop
.
|
8
|
29
|
f
|
Michaell
arch
.
|
|
30
|
g
|
Hierome
doct.
|
October
hath
xxxj
.
dayes
.
16
|
1
|
A
|
Remigius
bi
.
|
5
|
2
|
b
|
Leodegare
mar
.
|
13
|
3
|
c
|
Candide
mar
.
|
●
|
4
|
d
|
Francis
mart
.
|
|
5
|
e
|
Faith
virgin
|
10
|
6
|
f
|
Gerionis
.
|
|
7
|
g
|
Marce
and
Mar.
|
18
|
8
|
A
|
Apolinaris
mar
.
|
7
|
9
|
b
|
Pelagi
virgin
.
|
|
10
|
c
|
Linus
conf.
|
15
|
11
|
d
|
Denice
&
his
fe
.
|
4
|
12
|
e
|
Nichasius
bish.
|
|
13
|
f
|
Wilfride
bish.
|
12
|
14
|
g
|
Sun
in
Scorpio
.
|
1
|
15
|
A
|
Calixt
bishop
.
|
|
16
|
b
|
Wolfran
.
bish.
|
9
|
17
|
c
|
Micha
.
of
the
mo
.
|
|
18
|
d
|
Luke
Euange
.
|
17
|
19
|
e
|
Etheldred
virg.
|
6
|
20
|
f
|
Frideswide
vir
.
|
|
21
|
g
|
Austrebert
virg.
|
14
|
22
|
A
|
xi
.
M.
virgins
.
|
3
|
23
|
b
|
Mary
Salome
.
|
|
24
|
c
|
Romaine
bishop
.
|
11
|
25
|
d
|
Maglore
bish.
|
|
26
|
e
|
Crispi
and
Cris
.
|
19
|
27
|
f
|
Fast
.
|
8
|
28
|
g
|
Simon
and
Iude.
|
|
29
|
A
|
Narcissus
bish.
|
16
|
30
|
●
|
Germaine
conf.
|
5
|
31
|
c
|
Fast
.
|
Nouember
hath
.xxx.
dayes
.
|
1
|
f
|
All
Saincts
.
|
13
|
2
|
g
|
All
Soules
.
|
2
|
3
|
A
|
Wenefride
virg.
|
|
4
|
b
|
Amantius
.
|
10
|
5
|
c
|
Lete
priest
.
|
|
6
|
d
|
Leonard
.
|
18
|
7
|
e
|
Wilbrode
.
|
7
|
8
|
f
|
Fower
cround
.
|
|
9
|
g
|
Theodore
.
|
15
|
10
|
A
|
Maxime
.
|
4
|
11
|
b
|
Martine
bishop
.
|
|
12
|
c
|
Brise
bishop
.
|
12
|
13
|
d
|
Sun
in
Sagit
.
|
1
|
14
|
e
|
Tran.
Erkenw
.
|
|
15
|
f
|
Macute
bishop
.
|
9
|
16
|
g
|
Dep.
of
Edmond
.
|
|
17
|
A
|
Ini.
reg.
Eliza.
|
17
|
18
|
b
|
Octa.
Martine
.
|
6
|
19
|
e
|
Elizabeth
mart
.
|
|
20
|
d
|
Edmond
king
.
|
14
|
21
|
e
|
Pres
.
of
Mary
.
|
3
|
22
|
f
|
Ciceli
virgin
.
|
|
23
|
g
|
Clement
mart
.
|
11
|
24
|
A
|
Grisogon
mart
.
|
19
|
25
|
b
|
Katharine
virgin
.
|
|
26
|
c
|
Line
mart
.
|
8
|
27
|
d
|
Vitales
conf.
|
|
28
|
e
|
Rufus
mart
.
|
16
|
29
|
d
|
Saturni
.
Fast
.
|
5
|
30
|
e
|
Andrew
Apostle
.
|
December
hath
xxxj
.
dayes
.
|
1
|
f
|
Elegi
bishop
.
|
13
|
2
|
g
|
Liban
mart
.
|
2
|
3
|
A
|
Dep.
of
Osmo
.
|
|
4
|
b
|
Barbara
virg.
|
10
|
5
|
c
|
Sabba
bishop
.
|
|
6
|
d
|
Nicholas
bish.
|
18
|
7
|
e
|
Octa.
Andrew
.
|
7
|
8
|
f
|
Con.
of
Mary
.
|
|
9
|
g
|
Cyprian
bish.
|
15
|
10
|
A
|
Eulalie
vir
.
|
4
|
11
|
b
|
Antippe
.
|
|
12
|
c
|
Damase
con.
|
12
|
13
|
d
|
Sun
in
Capricor
.
|
1
|
14
|
e
|
Nicasius
vir
.
|
|
15
|
f
|
Otholie
vir
.
|
9
|
16
|
g
|
O
Sapientia
.
|
|
17
|
A
|
Lazarus
con.
|
17
|
18
|
b
|
Gracian
bish.
|
6
|
19
|
c
|
Venetia
vir
.
|
|
20
|
d
|
Fast
.
|
14
|
21
|
e
|
Thomas
Apost
.
|
3
|
22
|
f
|
xxx
.
Martyrs
.
|
|
23
|
g
|
Victor
virg.
|
11
|
24
|
A
|
Fast
.
|
19
|
25
|
b
|
Christmas
day
.
|
|
26
|
c
|
Stephen
mart
.
|
8
|
27
|
d
|
Iohn
Euang.
|
|
28
|
e
|
Innocents
day
.
|
16
|
29
|
f
|
|
5
|
30
|
g
|
Tran.
of
Iame.
|
13
|
31
|
A
|
Siluester
mart
.
|
A
Table
or
Kalender
for
.30
.
yere
,
shewing
the
Prime
,
the
Sundays
letter
,
and
Leape
yere
,
and
the
mouable
Feasts
,
as
the
first
Sunday
in
Lent
,
and
Easter
day
,
Assention
day
,
and
Whitsonday
.
The
Yere
of
our
Lorde
.
|
The
prime
.
|
Dominicall
letter
,
|
Fist
sunday
in
Lent.
|
Easter
day
.
|
Assention
day
.
|
Whitsonday
.
|
1574.
|
17
|
c
|
28.
Febr.
|
11.
April
.
|
20.
May
.
|
30.
May
.
|
1575
|
18
|
b
|
20.
Febr.
|
3.
Aprill
.
|
12.
May
.
|
22.
May
|
1576
|
19
|
Ag
|
11.
March.
|
22.
April
|
31.
May
.
|
10.
Iune
|
1577
|
1
|
f
|
24.
Febr.
|
7.
Aprill
|
16.
May
|
26.
May
|
1578
|
2
|
e
|
16.
Febr.
|
30.
Mar.
|
8.
May
|
18.
May
|
1579
|
3
|
d
|
8.
March.
|
19.
April
|
28.
May
|
7.
Iune
|
1580
|
4
|
c
b
|
20.
Febr.
|
3.
Aprill
|
12.
May
|
22.
May
|
1581
|
5
|
A
|
12
Febr.
|
26.
Mar.
|
4.
May
|
14.
May
|
1582
|
6
|
g
|
4.
March.
|
15.
April
|
24.
May
|
3.
Iune
|
1583
|
7
|
f
|
17.
Febr.
|
31.
Mar.
|
9.
May
|
19.
May
|
1584
|
8
|
e
d
|
8.
March.
|
19.
April
|
28.
May
|
7.
Iune
|
1585
|
9
|
c
|
28.
Febr.
|
11.
Aprill
|
20.
May
|
30.
May
|
1586
|
10
|
b
|
20.
Febr.
|
3.
Aprill
.
|
12.
May
|
22.
May
|
1587
|
11
|
A
|
5.
March.
|
16.
April
|
25.
May
|
4.
Iune
|
1588
|
12
|
g
f
|
24.
Febr.
|
7.
Aprill
|
16.
May
|
26.
May
|
1589
|
13
|
e
|
16.
Febr.
|
30.
Mar.
|
8.
May
|
18.
May
|
1590
|
14
|
d
|
8.
March.
|
19.
April
|
28.
May
|
7.
Iune
|
1591
|
15
|
c
|
21.
Febr.
|
4.
Aprill
|
13.
May
|
23.
May
|
1592
|
16
|
b
A
|
12.
Febr.
|
26.
Mar.
|
4.
May
|
14.
May
|
1593
|
17
|
g
|
4.
March.
|
15.
April
|
24.
May
|
3.
Iune
|
1594
|
18
|
f
|
17.
Febr.
|
31.
Mar.
|
9.
May
|
19.
May
|
1595
|
19
|
e
|
9.
Marche
|
20.
April
|
29.
May
|
8.
Iune
|
1596
|
1
|
d
c
|
28.
Febr.
|
11.
Aprill
|
20
May
|
30.
May
|
1597
|
2
|
b
|
13.
Febr.
|
27.
Mar.
|
4.
May
|
15.
May
|
1598
|
3
|
A
|
5.
Marche
|
16.
April
|
25.
May
|
4.
Iune
|
1599
|
4
|
g
|
25.
Febr.
|
8.
Aprill
|
17.
May
|
27.
May
|
1600
|
5
|
f
e
|
9.
Febr.
|
23.
Mar.
|
1.
May
|
11.
May
|
1601
|
6
|
d
|
1.
Marche
|
12.
April
|
21.
May
|
31.
May
|
1602
|
7
|
c
|
21.
Febr.
|
4.
Aprill
|
13.
May
|
23.
May
|
1603
|
8
|
b
|
13.
March.
|
24.
April
|
2.
Iune
.
|
12.
Iune
.
|
FOr
that
the
common
people
do
fall
into
suche
a
numbre
of
errours
as
touching
the
length
of
the
day
,
holding
an
opinion
that
in
euery
.15
.
dayes
,
the
day
is
an
houre
longer
or
shorter
,
the
truth
is
this
:
the
day
dothe
keepe
no
suche
proportion
in
the
lengthening
and
shorting
,
but
dothe
length
and
shorte
according
vnto
the
swiftnesse
and
the
slownesse
of
the
sunnes
declination
,
for
when
the
Sunne
hath
swifte
declination
,
then
doth
the
day
lengthen
and
shorten
apace
:
and
when
that
the
Declination
is
slowe
,
then
dothe
the
day
lengthen
or
shorten
but
slowly
.
And
yet
the
most
parte
of
the
common
people
do
holde
an
opinion
,
that
at
Christmasse
or
els
at
New
yeares
day
at
the
furthest
the
day
must
néedes
be
an
houre
longer
,
&
yet
the
Sunne
hath
not
declined
or
come
towardes
the
Equinoctiall
.2
.
degrées
and
a
halfe
,
whiche
will
not
make
halfe
an
houre
in
the
length
of
the
day
.
Wherefore
I
do
thinke
it
good
to
declare
thorowe
the
whole
yeare
when
the
day
is
an
houre
longer
or
shorter
here
in
this
place
for
the
Latitude
or
heigth
of
the
pole
Articke
at
London
,
the
Pole
beyng
raysed
.51
.
degrées
and
.32
.
minutes
,
or
.34
.
minutes
:
and
our
longest
Somer
day
is
.16
.
houres
and
a
halfe
,
and
our
shortest
winter
day
is
.7
.
houres
and
a
halfe
from
the
rising
of
the
Sunne
vnto
the
setting
of
the
Sunne
:
and
firste
this
,
the
shortest
winter
day
is
the
.11
.
or
.12
.
day
of
December
,
and
then
the
Sunne
riseth
a
quarter
of
an
houre
after
.8
.
and
setteth
a
quarter
of
an
houre
before
.4
.
of
the
clocke
,
and
then
the
Sunne
hath
his
greatest
declination
vnto
the
Southwardes
.
And
then
the
.29
.
day
of
December
the
day
is
a
quarter
of
an
houre
longer
,
then
riseth
the
Sunne
at
.8
.
of
the
clocke
and
settes
at
.4
.
And
then
the
17.
or
.18
of
Ianuarie
the
day
is
an
houre
longer
and
not
before
,
for
the
Sunne
muste
be
declined
from
hir
Solstick
of
winter
.5
.
degrées
and
.12
.
minuts
before
the
day
is
lengthned
an
houre
,
so
that
I
do
affirme
,
that
from
the
.4
.
or
.5
.
day
of
Nouember
,
vnto
the
.17
.
or
.18
.
day
of
Ianuary
,
in
all
that
time
the
day
is
but
one
houre
shorter
and
longer
,
which
is
the
time
of
10.
wéekes
.
And
then
the
.27
.
or
.28
.
of
Ianuarie
the
night
is
●5
.
houres
long
,
then
riseth
the
Sunne
half
an
houre
after
.7
.
and
setteth
halfe
an
houre
after
foure
of
the
clocke
.
And
then
the
.11
.
or
.12
.
day
of
Februarie
the
day
is
.10
.
houres
long
,
then
riseth
the
Sunne
at
.7
.
and
setteth
at
.5
.
of
the
clocke
.
And
then
the
.26
.
day
of
Februarie
the
day
is
.11
.
houres
long
,
then
riseth
the
Sunne
halfe
an
houre
after
.6
.
and
setteth
halfe
an
houre
after
.5
.
of
the
clocke
.
And
then
the
.11
▪
day
of
Marche
the
sunne
is
vpon
the
Equinoctiall
and
the
day
iuste
.12
.
houres
long
all
the
world
ouer
.
And
then
the
.24
.
day
of
Marche
the
day
is
.13
.
houres
long
,
and
then
riseth
the
Sunne
halfe
an
houre
before
6.
and
setteth
halfe
an
houre
after
.6
.
of
the
clocke
.
And
then
the
.7
.
day
of
Aprill
the
day
is
.14
.
houres
long
,
and
then
riseth
the
Sunne
at
.5
.
of
the
clocke
iust
,
and
setteth
at
.7
.
of
the
clocke
iuste
.
And
then
the
.23
.
day
of
Aprill
the
day
is
.15
.
houres
long
,
and
there
riseth
the
Sunne
halfe
an
houre
before
.5
.
and
setteth
halfe
an
houre
after
.7
.
of
the
clocke
.
And
then
the
.15
.
day
of
Maye
the
day
is
.16
.
houres
long
,
then
riseth
the
Sunne
at
.4
.
of
the
clocke
and
setteth
at
.8
.
of
the
clocke
iuste
.
And
then
the
.11
.
of
Iune
the
Sunne
hath
hir
greatest
declination
to
the
Northwarde
,
and
then
is
our
longest
Somer
dayes
,
and
then
it
is
.16
.
houres
and
a
halfe
from
the
Sunne
rising
vnto
the
Sunne
setting
,
so
that
the
Sunne
riseth
a
quarter
of
an
houre
before
.4
.
and
setteth
a
quarter
of
an
houre
after
eight
of
the
clocke
.
And
then
the
.10
.
day
of
Iulie
the
day
is
.16
.
houres
long
,
then
riseth
the
sunne
at
.4
.
and
setteth
at
.8
.
of
the
clocke
.
And
then
the
laste
of
Iuly
the
day
is
.15
.
houres
long
.
And
then
the
.16
.
day
of
August
the
day
is
.14
.
houres
long
.
And
then
the
laste
day
of
August
the
day
is
.13
.
houres
long
.
And
then
the
.13
.
or
.14
.
of
September
the
sunne
is
vpon
the
Equinoctiall
,
and
the
day
iuste
.12
.
houres
long
.
And
then
the
.27
.
day
of
September
the
day
is
.11
.
houres
long
.
And
then
the
11.
of
October
the
day
is
.10
.
houres
long
.
And
then
the
.26
.
day
of
October
the
day
is
.9
.
houres
long
.
And
then
the
.15
.
day
of
Nouember
the
day
is
.8
.
houres
long
,
and
so
vnto
the
.11
.
or
12.
of
December
,
and
then
the
day
is
at
the
shortest
(
as
before
is
declared
.
)
Thus
much
haue
I
sayde
as
touching
the
length
of
the
day
by
euen
houres
,
whiche
some
people
will
haue
at
the
entrance
of
the
Sunne
into
the
.12
.
signes
,
of
which
in
the
lengthing
and
shorting
of
the
day
there
is
no
such
matter
,
but
onely
this
looke
,
when
that
the
Sunne
hath
declined
.5
.
degrées
and
.12
.
minutes
in
this
our
Latitude
,
then
is
the
day
an
houre
longer
or
shorter
,
as
you
shall
finde
this
matter
more
larglier
spoken
of
in
all
places
thorowe
the
worlde
,
in
the
.
●1
.
chapter
of
the
booke
.
Faultes
escaped
in
the
Printing
.
Fol.
2.
b.
lin.
30.
after
oblique
,
leaue
out
equinoctiall
,
fol.
8.
b.
lin.
30.
for
crossing
in
,
reade
crossing
the
equinoctiall
in
,
fol.
3.
a.
lin.
3.
for
.21
.
read
.12
.
fol.
eod.
lin.
10.
for
respectes
,
read
aspects
,
fol.
3.
b.
lin.
18.
for
placing
,
read
passing
,
fol.
9.
a.
lin.
11.
for
Northeast
,
read
Northwest
,
fol.
12.
b.
lin.
20.
for
rarer
,
read
rather
fol.
13.
a.
lin.
22.
for
Nas
,
read
Naase
,
fol.
28.
b.
lin.
2.
for
pointes
,
read
pointers
,
fol.
35.
b.
lin.
11.
for
vacula
,
read
Bacula
,
fol.
41.
a.
lin.
13.
for
North
North
,
read
North
Northeast
,
fol.
42.
b.
lin.
14.
for
.250
.
read
.2500
.
fol.
43.
a.
lin.
15.
for
whiche
are
,
reade
with
vs
,
fol.
45.
a.
lin.
20.
for
noone
,
read
Rome
,
fol.
eod.
lin.
24.
for
a
quarter
,
read
.3
.
quarters
,
fol.
46.
a.
lin.
13.
for
.52
.
read
.53
.
fol.
eod.
lin.
15.
for
.15
.
read
.17
.
fol.
47.
a.
lin.
penult.
for
treating
,
reade
,
trenting
,
fol.
48.
a.
lin.
24.
for
whole
,
read
holde
,
fol.
eod.
b.
lin.
3.
for
middle
of
the
,
head
middle
most
,
fol.
52.
a.
lin.
13.
for
port
,
read
part
.
¶
A
Table
of
the
reigne
of
Kings
since
the
Conquest
.
Number
of
Kings
and
Queenes
.
|
The
names
of
the
Kings
of
England
.
|
Beginning
of
their
Reigne
.
|
Time
of
their
death
.
|
The
place
of
their
buriall
.
|
1
|
William
Conqueror
.
|
14.
Oct.
|
9.
Sept.
1087
|
Cane
in
Norm
.
|
2
|
William
Rufus
.
|
9.
Sept.
|
1.
August
,
1100
|
Westminster
.
|
3
|
Henry
the
first
.
|
1.
Aug.
|
2.
Decemb.
1136
|
Reding
.
|
4
|
Stephan
.
|
2.
Dece
.
|
25.
Octob.
1154
|
Feuers●am
.
|
5
|
Henry
the
second
.
|
25
Octo.
|
6.
Iuly
.
1189
|
Fonteuerard
.
|
6
|
Richard
the
first
.
|
6.
Iulie
.
|
6.
Aprill
.
1199
|
Fonteuerard
.
|
7
|
Iohn
.
|
6.
Aprill
|
19.
Octob.
1216
|
Worcester
.
|
8
|
Henry
the
third
.
|
19.
Octo
|
16.
Nou.
1272
|
Westminster
.
|
9
|
Edward
the
first
.
|
16.
Nou.
|
6.
Iuly
.
1307
|
Westminster
.
|
10
|
Edward
the
second
.
|
6.
Iuly
.
|
25.
Ianu.
1327
|
Glocester
.
|
11
|
Edward
the
third
.
|
25.
Ian.
|
21.
Iune
.
1377
|
Westminster
.
|
12
|
Richard
the
second
.
|
21
Iune
.
|
16.
Sep.
1400
|
Westminster
.
|
13
|
Henry
the
fourth
.
|
16.
Sep.
|
20.
Mar.
1413
|
Canterbury
.
|
14
|
Henry
the
fifth
.
|
20.
Mar.
|
31.
Augu.
1422
|
Westminster
.
|
15
|
Henry
the
sixt
.
|
31.
Aug.
|
4.
Mar.
1461
|
Windesor
.
|
16
|
Edward
the
fourth
.
|
4.
Mar.
|
9.
Aprill
.
1483
|
Windesor
.
|
17
|
Edward
the
fifth
.
|
9.
Aprill
|
22.
Iune
.
1484
|
Westminster
.
|
18
|
Richard
the
third
.
|
22.
Iune
|
22.
Aug.
1486
|
Lecester
.
|
19
|
Henry
the
seuenth
.
|
22
Aug.
|
22.
April
.
1509
|
Westminster
.
|
20
|
Henry
the
eyght
.
|
22.
April
|
28.
Ianu.
1547
|
Windesor
.
|
21
|
Edward
the
fi●t
.
|
28.
Ian.
|
6.
Iuly
.
1553.
|
Westminster
.
|
22
|
Quéene
Mary
.
|
6.
Iuly
|
17.
Nou.
1559
|
Westminster
.
|
23
|
Quéene
Elizabeth
.
|
17.
Nou.
|
|
|
¶
A
profitable
and
necessarie
rule
to
know
the
beginning
and
ending
of
euery
Terme
,
with
their
returnes
.
Hillarie
Tearme
,
beginneth
the
.xxiij.
of
Ianuarie
,
if
it
be
not
Sunday
,
whiche
then
is
referred
vntill
the
next
day
after
,
and
endeth
the
.xij.
of
February
,
and
hath
foure
returnes
,
that
is
to
saye
:
-
Octauis
Hillarij
.
-
Quind
.
Hillarij
.
-
Crastino
Purific
.
-
Octauis
Purific
.
Easter
Tearme
,
beginneth
.xvij.
dayes
after
Easter
,
and
endeth
the
Monday
nexte
after
the
Assention
day
,
and
hath
fiue
returnes
,
that
is
to
say
:
-
Quind
.
Pasch
.
-
Tres
Paschae
.
-
Mense
.
Paschae
.
-
Quinque
Paschae
.
-
Crast
.
Ascention
.
Trinitie
Tearme
,
beginneth
the
friday
next
after
Trinity
sunday
,
and
endeth
the
wednesday
fortnight
after
,
and
hath
foure
returnes
,
that
is
to
say
:
-
Crast
.
Trinitati
.
-
Octauis
Trinita
.
-
Quind
.
Trinitat
.
-
Tres
Trinitat
.
Michaelmas
Tearme
,
beginneth
the
.9
.
day
of
October
,
if
it
be
not
Sunday
,
and
endeth
the
.xxviij.
or
.xxix.
of
Nouember
,
and
hath
eyght
returnes
,
that
is
to
say
:
-
Octauis
Micha
.
-
Quind
.
Michae
.
-
Tres
Michaelis
.
-
Mense
Michael
.
-
Crast
.
Anima
.
-
Crast
.
Martini
.
-
Octa.
Martini
.
-
Quind
.
Martini
.
Note
also
that
the
Eschequer
openeth
eyght
dayes
before
any
Tearme
begin
,
except
Trinitie
Tearme
which
openeth
but
foure
dayes
before
.
Thirtie
dayes
hath
September
:
Apryll
,
Iune
,
and
Nouember
.
Februarie
hath
.xxviij.
alone
:
and
all
the
rest
thirtie
and
one
.
Except
the
leape
yeare
,
wherin
Februarie
hath
.xxix.
¶
An
Introduction
vnto
the
Regiment
for
the
Sea
.
The
names
of
certaine
things
necessarie
to
be
known
of
them
that
are
Mariners
or
Seafaring
men
,
meete
to
bee
knowne
of
them
that
doe
practise
Nauigation
,
as
this
:
the
names
of
the
circles
of
the
Sphere
,
and
what
they
are
,
and
their
vses
:
and
also
the
names
of
other
things
belonging
therevnto
,
and
what
they
are
,
and
their
vses
.
First
what
the
Horizon
circle
is
.
THe
Horizon
is
the
parting
of
the
earthe
or
the
Sea
and
the
skye
,
that
is
to
say
,
the
halfe
of
the
heauens
being
aboue
ouer
your
heade
,
and
the
other
halfe
hidden
with
the
earth
or
Sea
vnder
them
:
and
this
Horizon
circle
dothe
moue
as
you
doe
moue
:
for
as
you
doe
by
trauell
chaunge
your
place
,
so
doth
the
Horizon
chaunge
in
all
points
.
The
vse
of
the
Horizon
circle
.
THe
vse
of
the
Horizon
circle
is
this
,
to
take
the
heigth
of
the
Sunne
or
any
starre
,
with
the
crosse
staffe
,
setting
the
one
ende
with
the
Horizon
,
and
the
other
ende
with
the
Sunne
or
starre
,
so
that
you
haue
a
true
Horizon
:
and
that
must
be
doone
vpon
the
Sea
,
or
else
it
must
be
a
very
playne
grounde
vpon
the
toppe
of
a
hill
,
else
it
is
no
true
Horizon
.
And
also
if
the
Sunne
or
Moone
,
or
any
starre
be
to
be
séene
,
them
they
be
aboue
the
Horizon
:
if
they
be
not
to
be
séene
,
then
they
be
vnder
the
Horizon
.
2.
What
the
Meridian
circle
is
.
THe
Meridian
is
a
circle
beginning
due
South
,
and
so
passing
by
youre
Zenith
that
is
right
ouer
the
crowne
of
your
head
,
and
so
by
the
two
Poles
of
the
worlde
:
and
if
you
doe
trauell
due
South
and
North
,
you
doe
not
chaunge
youre
Meridian
:
but
in
the
going
or
trauelling
any
other
way
,
you
do
chaunge
it
.
The
vse
of
the
Meridian
circle
.
THe
vse
of
the
Meridian
circle
is
,
to
knowe
the
iust
tyme
of
noone
by
the
Sunne
:
for
as
soone
as
the
middle
of
the
Sunne
is
vpon
the
Meridian
,
then
it
is
noone
,
and
when
the
Sunne
,
Moone
,
or
any
Star
is
vpon
the
Meridian
,
then
they
be
farthest
from
the
Horizon
,
and
it
is
a
meete
time
to
take
their
heigth
for
to
know
the
altitude
or
heigth
of
the
Pole
of
the
worlde
,
whereby
you
may
perfitly
knowe
howe
farre
you
bee
too
the
Southwardes
or
Northwardes
of
any
place
.
3.
What
the
Equinoctiall
circle
is
,
being
a
Paralell
line
or
circle
fixed
.
THe
Equinoctiall
is
a
fixed
circle
in
the
Heauens
equally
distant
from
both
the
Poles
,
and
doth
passe
directly
ouer
the
middle
of
the
earth
rounde
about
,
and
is
called
the
Equinoctiall
,
for
that
if
the
Sunne
be
there
,
then
thorowe
all
the
whole
world
the
Sunne
is
twelue
houres
aboue
the
Horizon
,
and
twelue
houres
vnder
the
Horizon
sauing
vnder
the
two
Poles
,
and
there
the
Equinoctiall
is
with
the
Horizon
.
So
they
shal
see
half
the
Sunne
and
no
more
,
till
the
Sunne
be
departed
from
the
Equinoctiall
.
And
also
to
them
that
do
inhabite
or
dwell
in
any
place
vnder
the
Equinoctiall
,
the
Sunne
,
Moone
,
and
all
the
Starres
be
twelue
hours
aboue
the
Horizon
,
and
twelue
houres
vnder
the
Horizon
.
The
vse
of
the
Equinoctiall
circle
.
THe
vse
of
the
Equinoctiall
,
is
to
knowe
what
declination
the
Sunne
or
any
other
Starre
hath
from
it
,
and
of
whiche
side
,
and
by
that
is
known
the
heigth
of
the
Equinoctial
,
and
by
the
heigth
of
that
is
known
the
heigth
of
either
of
the
two
Poles
of
the
world
.
4
What
the
circle
or
Tropicke
of
Cancer
is
,
being
a
Paralell
circle
fixed
.
THe
Tropicke
of
Cancer
is
the
greatest
declination
that
the
Sunne
doth
come
vnto
the
Northwards
,
and
then
is
our
longest
Sommer
dayes
,
and
shortest
nights
.
5.
What
the
circle
or
Tropick
of
Capricorne
is
,
being
a
Paralell
circle
fixed
.
THe
Tropicke
of
Capricorne
,
is
the
greatest
declination
that
the
sunne
doth
go
vnto
the
Southwards
,
and
then
is
our
shortest
Winter
dayes
,
and
longest
nights
.
The
vses
of
these
two
circles
be
but
smal
,
but
that
the
days
béeing
at
the
longest
or
shortest
,
the
Sunne
dothe
returne
backe
againe
.
&c.
6.
What
the
Articke
circle
is
,
beeing
a
Paralell
circle
.
THe
Articke
circle
doth
touch
the
Horizon
due
North
,
and
is
according
to
the
place
that
you
are
in
,
of
any
place
vpon
the
face
of
the
earth
,
and
doth
wyden
and
narrow
according
vnto
the
altitude
or
heigth
of
the
Pole
:
for
as
you
doe
goe
vnto
the
South
partes
,
then
dothe
your
Articke
circle
growe
narower
and
narower
,
vntill
you
come
right
vnder
the
Equinoctiall
line
,
and
then
haue
you
no
Articke
circle
:
and
if
that
you
do
goe
vnto
the
North
partes
,
then
doth
your
Articke
circle
growe
wider
and
wider
:
and
where
the
North
Pole
is
raysed
.66
.
degrées
and
a
half
,
there
the
Artick
circle
is
iust
with
the
Tropick
of
Cancer
,
and
then
vnder
the
north
Pole
,
there
your
Artick
circle
is
with
the
Equinoctial
.
The
vse
of
the
Articke
circle
.
THe
vse
of
the
Articke
circle
,
is
to
knowe
what
Starres
doe
neuer
set
vntoo
you
,
for
all
those
Starres
or
lyghtes
that
you
doe
sée
vnder
the
Pole
,
doe
not
set
:
and
if
that
you
bee
vnto
the
North
wardes
,
of
the
height
of
the
Pole
,
more
than
.66
.
degrées
and
a
halfe
:
if
that
the
Sunne
or
Moone
be
in
the
Tropick
of
Cancer
,
they
shall
not
goe
downe
vnto
you
vnder
the
Horizon
,
but
shall
bée
still
in
sighte
vnto
you
,
so
that
they
be
not
let
by
the
cloudes
and
other
accidentes
.
7.
What
the
Antarticke
circle
is
,
beeing
a
Paralell
circle
.
THe
Antarticke
circle
doth
touch
the
Horizon
due
South
,
and
is
opposite
or
right
agaynste
the
Articke
circle
,
and
dothe
wyde
and
narrowe
in
all
poyntes
,
and
dothe
not
differ
from
the
Articke
circle
,
sauing
the
Articke
circle
is
aboue
the
Horizon
,
and
the
Antartike
circle
is
vnderneath
the
Horizon
.
The
vse
of
the
Antarticke
circle
.
THe
vse
of
the
Antarticke
circle
is
as
the
Articke
is
in
all
poyntes
,
to
knowe
what
starres
will
not
appeare
aboue
your
Horizon
,
and
in
like
manner
,
to
the
Northwardes
of
66.
degrées
and
a
halfe
,
(
the
Sunne
or
Moone
being
in
the
Tropicke
of
Capricorne
)
then
they
wyll
not
ryse
aboue
the
Horizon
.
8.
What
the
Zodiacke
is
,
beeing
a
circle
.
THe
Zodiacke
is
the
greatest
circle
in
all
the
Heauens
,
wherein
all
the
wandering
lightes
or
Planets
doe
kéepe
theyr
courses
,
that
is
to
say
,
the
Sunne
and
Moone
,
and
the
other
fiue
Planets
or
Starres
,
that
is
to
say
,
Saturne
,
Iupiter
,
Mars
,
Venus
,
and
Mercury
.
&c.
whiche
circle
is
deuided
into
twelue
equall
partes
,
called
the
twelue
singes
,
as
Aries
,
Taurus
,
Gemini
,
Cancer
,
Leo
,
Virgo
,
Libra
,
Scorpio
,
Sagitarius
,
Capricornus
,
Aquarius
,
Pisces
,
the
which
circle
standeth
oblique
equinoctiall
or
awrye
,
crossing
in
the
middle
at
two
places
:
the
Northermost
parte
is
the
middle
of
the
Zodiacke
,
and
that
is
the
Tropicke
of
Cancer
:
and
the
Southermost
parte
is
the
tropicke
of
Capricorne
,
the
very
midle
of
the
zodiack
:
and
that
line
in
the
midle
of
the
zodiack
,
is
called
the
ecliptick
lyne
,
and
the
zodiack
is
.21
.
degrees
broade
,
that
is
to
say
,
sixe
degrées
from
the
eclipticke
line
vnto
the
north
parts
,
and
sixe
degrées
vnto
the
South
parts
.
The
vse
of
the
Zodiack
.
THe
vse
of
the
Zodiack
is
,
through
the
mouing
of
the
Sunne
and
Moone
&
the
other
planets
,
to
know
in
what
signe
they
be
,
and
also
to
know
the
time
of
the
chaunge
of
the
Moone
,
with
all
the
other
respectes
:
and
in
like
manner
to
know
the
aspects
of
all
the
other
planets
vnto
the
Moone
,
and
also
the
planets
amongst
themselues
:
and
by
the
aspectes
in
the
.12
.
signes
is
gathered
their
effects
,
and
in
what
countrey
it
may
happen
.
9.
What
the
line
Ecliptick
is
.
THe
line
ecliptick
,
is
a
circle
in
the
very
middle
of
the
Zodiack
,
the
whiche
the
very
midle
or
center
of
the
Sunne
doth
go
vpon
.
The
vse
of
the
line
Ecliptick
.
THe
vse
of
the
line
Ecliptick
is
this
,
if
that
the
Moone
or
any
other
starre
be
vnto
the
North
part
therof
,
then
it
is
sayd
that
they
haue
North
latitude
,
and
if
vnto
the
Southe
part
,
then
they
haue
south
latitude
:
and
also
by
this
circle
called
the
line
ecliptick
,
is
knowne
the
eclipse
of
the
Sunne
and
the
Moone
.
10.
What
the
artick
polare
circle
is
,
being
a
paralell
circle
fixed
.
THe
artick
polare
circle
is
made
by
the
pole
of
the
Zodiack
,
or
pole
of
the
circle
ecliptick
.23
.
degrées
and
a
halfe
in
the
heauens
from
the
poles
of
the
world
aboue
the
horizon
.
11.
What
the
antartick
Polare
circle
is
,
being
a
Paralell
circle
fixed
.
THe
antartick
Polare
circle
is
iust
opposite
vnto
the
artick
polare
,
made
by
the
antartick
pole
vnderneath
our
horizon
.
The
vse
of
them
I
will
declare
,
when
I
speake
of
the
poles
of
the
Ecliptick
or
Zodiack
.
12.
What
the
two
circles
called
Colures
be
.
&c.
THe
.2
.
circles
called
Colures
,
be
those
that
do
deuide
the
Zodiack
,
and
all
the
other
paralell
circles
into
.4
.
equall
parts
,
the
one
of
the
circles
doth
crosse
the
Zodiack
in
the
first
point
of
Aries
and
Libra
,
and
so
passeth
by
the
.2
.
poles
of
the
world
,
and
is
called
the
equinoctiall
colure
:
and
the
other
colure
circle
doth
crosse
the
Zodiacke
in
the
firste
pointe
of
Cancer
and
Capricorne
,
and
so
passeth
the
.2
.
poles
of
the
world
,
and
there
at
the
.2
.
poles
the
one
circle
doth
crosse
the
other
:
and
that
is
called
the
Solstitiall
colure
.
The
vse
of
these
two
circles
.
THe
vse
of
the
.2
.
colure
circles
is
this
,
the
Sunne
placing
by
them
doth
deuide
the
yeare
into
.4
.
partes
:
as
this
,
the
Sunne
in
the
first
point
of
Aries
,
is
Spring
time
.
&c.
13.
What
the
.2
.
Poles
of
the
world
is
,
imagined
to
be
as
an
axiltree
.
THe
.2
.
poles
of
the
world
,
imagined
to
be
as
an
axiltrée
,
(
that
is
to
say
,
the
North
pole
called
the
pole
artick
,
and
the
South
pole
called
the
pole
antartick
)
the
one
is
directly
against
the
other
:
the
North
pole
alwayes
aboue
our
horizon
,
and
the
South
pole
antartick
always
vnder
our
horizon
,
being
fixed
fast
in
the
heauens
,
and
the
equinoctiall
iust
and
equally
betwéene
them
:
and
the
cause
why
that
it
is
imagined
too
bee
an
axiltree
is
thys
,
for
that
the
whole
heauens
and
all
the
lyghtes
of
the
Firmamente
be
caried
rounde
aboute
from
the
East
vnto
the
West
in
.24
.
houres
:
so
that
no
light
nor
place
remayneth
vnremoued
,
but
onely
the
.2
.
poles
of
the
world
.
The
vse
of
the
Poles
of
the
world
.
THe
vse
of
the
.2
.
Poles
,
is
this
,
to
knowe
how
farre
we
do
transporte
our selues
,
and
to
know
what
climate
,
and
temperatnesse
we
be
in
as
touching
heate
and
colde
.
14.
What
the
.2
.
Poles
of
the
Zodiack
is
,
imagined
to
be
an
axiltree
in
the
heauens
.
THe
.2
.
Poles
of
the
Zodiack
,
or
Ecliptick
,
imagined
to
bée
as
an
axiltrée
,
(
the
artick
pole
of
the
Zodiack
,
or
rather
the
Ecliptick
,
and
the
Antartick
pole
of
the
Zodiack
)
the
one
being
directly
againste
the
other
,
and
the
Zodiack
or
rather
the
middle
thereof
,
called
the
ecliptick
,
to
be
iust
or
equall
betwéene
them
,
are
called
the
Poles
of
the
Zodiacke
:
for
that
the
Sunne
and
the
Moone
,
and
the
other
planets
and
fixed
starres
do
moue
vnto
the
eastward
,
according
to
the
standing
of
the
Zodiack
.
&c.
The
vse
of
the
Poles
of
the
Zodiack
.
TThe
vse
of
the
two
Poles
of
the
Zodiack
is
this
,
(
as
it
is
before
declared
)
that
the
Zodiack
is
deuided
intoo
12.
equall
partes
,
called
the
.12
.
signes
,
and
those
diuisions
by
imagination
do
passe
vnto
the
poles
of
the
Zodiack
,
in
suche
forme
as
the
meridian
lynes
do
all
meete
at
the
poles
of
the
world
,
and
so
do
all
those
diuisions
méete
at
the
two
poles
of
the
Zodiack
,
and
then
any
starre
,
that
is
out
of
the
Zodiack
,
eyther
vnto
the
southwards
,
or
northwardes
,
(
according
vnto
those
diuisions
)
they
be
called
in
the
signes
.
15.
What
the
Zenith
or
verticall
point
is
,
imagined
to
be
as
an
axiltree
.
THe
Zenith
or
vertical
point
,
is
imagined
to
be
a
pricke
in
the
heauens
right
ouer
the
crowne
of
your
head
,
and
is
moueable
as
we
our selues
be
,
and
is
as
an
axiltrée
vnto
the
horizon
circle
:
and
as
you
do
transport
your selfe
from
one
place
vnto
another
,
so
doth
your
Zenith
or
verticall
poynte
,
and
your
horizon
circle
also
.
The
vse
of
the
Zenith
or
verticall
poynt
.
&c.
THe
vse
of
the
Zenith
or
verticall
point
is
this
,
to
knowe
howe
néere
or
farre
off
any
starre
is
from
your
zenith
,
by
taking
the
true
heigth
of
any
starre
with
an
instrumente
,
for
that
from
your
zenith
is
always
.90
.
degrées
down
vnto
the
horizon
on
euery
side
round
about
you
,
as
it
shall
more
plainely
appeare
hereafter
where
I
speake
of
degrées
.
16.
What
a
Degree
is
.
A
Degrée
is
the
part
or
diuision
of
a
whole
circle
,
into
.360
.
equall
parts
,
how
bigge
or
smal
soeuer
the
circle
be
.
The
vse
of
the
Degrees
is
manyfold
.
THe
vse
of
the
degrées
is
to
knowe
by
the
Sunne
and
Moones
course
in
the
zodiack
,
or
any
other
of
the
planets
or
mouable
starres
,
how
many
degrees
they
be
asunder
:
whereby
is
knowne
at
what
time
they
haue
any
aspecte
the
one
with
the
other
.
And
also
by
the
degrees
it
is
knowne
,
what
latitude
and
what
declination
any
light
or
starre
hath
from
the
ecliptick
or
equinoctial
:
and
also
the
degrées
wil
shewe
vnto
you
,
howe
many
myles
that
you
do
transporte
your selfe
vpon
the
earth
to
the
South
or
North
partes
,
for
that
euery
degree
doth
aunswer
vnto
.60
.
english
miles
,
in
the
going
South
and
North
:
which
is
knowne
by
the
altitude
of
the
North
pole
or
the
numbre
of
degrees
betwene
the
equinoctiall
and
your
zenith
or
verticall
point
,
for
from
your
zenith
vnto
the
horizon
,
is
.90
.
degrees
to
the
southwards
,
and
90.
degrees
vnto
the
Northwards
,
whiche
is
halfe
the
compasse
of
the
heauens
for
twice
.90
.
is
.180
.
and
then
the
earthe
doth
hide
the
other
halfe
of
the
heauens
:
and
twice
.180
.
maketh
.360
.
the
whole
contents
of
the
compasse
of
euery
greate
circle
in
the
heauens
.
17.
What
a
Minute
is
.
OF
Minuts
there
be
two
sortes
,
minuts
of
time
,
and
minuts
of
measure
,
and
is
no
other
thing
but
the
lesser
parte
of
tyme
or
measure
,
whiche
is
the
.60
.
parte
of
a
degree
,
or
the
.60
.
parte
of
an
houre
:
and
all
the
diuisions
in
these
matters
,
is
by
.60
.
For
as
.60
.
Minuts
is
a
degrée
or
an
hour
,
so
.60
.
seconds
is
a
Minute
,
and
.60
.
thirds
is
a
seconde
,
and
.60
.
fourths
is
a
third
.
&c.
18.
Altitude
is
heigthe
:
the
vse
thereof
.
ALtitude
is
the
heigthe
of
any
thing
taken
,
as
the
heigthe
of
the
Sunne
,
or
any
Starre
,
or
the
heigth
of
the
Pole
,
aboue
the
horizon
:
or
the
heigth
of
a
steeple
,
or
a
tower
,
or
such
other
lyke
.
19.
Latitude
is
widenesse
:
the
vse
thereof
.
LAtitude
is
in
the
heauens
:
if
the
Moone
,
or
any
other
Starre
be
vnto
the
South
parts
or
the
North
partes
of
the
ecliptick
,
that
then
it
is
sayde
,
to
be
so
manye
degrees
in
latitude
or
widenesse
,
from
the
line
ecliptick
to
the
South
or
North
part
:
and
also
latitude
is
counted
vpon
the
earthe
in
like
maner
,
if
that
you
be
in
any
place
betwéene
,
from
vnder
the
equinoctiall
,
either
to
the
South
or
North
part
,
betwéene
any
of
the
.2
.
Poles
,
that
you
are
so
many
degrées
in
latitude
from
the
equinoctiall
.
&c.
20.
Longitude
is
length
:
the
vse
thereof
.
LOngitude
in
the
heauens
is
,
if
the
Sunne
or
Moone
or
any
other
Starre
,
be
in
suche
a
signe
,
&
so
many
degrées
:
that
then
it
is
said
:
that
they
haue
longitude
,
in
such
a
signe
and
so
many
degrées
.
And
also
longitude
vpon
the
earth
,
is
counted
from
the
Canarie
Ilands
vnto
the
Eastward
,
as
this
,
if
that
any
towne
or
cittie
be
vnto
the
Eastwards
so
many
degrées
from
the
Canarie
Ilands
,
then
it
is
sayde
,
that
the
cittie
or
towne
is
so
many
degrées
in
Longitude
,
whereby
is
knowne
the
time
of
the
chaunges
of
the
Moone
,
or
any
other
aspecte
,
or
anye
Eclipse
of
the
Sunne
or
Moone
,
at
the
cittie
or
towne
.
21.
Declination
is
leaning
:
the
vse
thereof
.
DEclination
is
counted
in
the
heauens
,
if
that
the
Sunne
or
any
other
Starre
be
vnto
the
North
part
,
or
South
part
of
the
equinoctiall
,
then
it
is
saide
,
that
the
Sunne
or
Starre
hath
so
many
degrees
of
declination
to
the
South
,
or
to
the
North
parts
,
as
it
happeneth
.
&c.
22.
Circumference
is
the
compasse
of
a
circle
by
the
outer
edge
.
DIameter
is
the
bredth
of
a
circle
,
passing
right
ouer
the
center
or
midle
thereof
,
from
outside
vnto
outside
.
23.
Center
is
the
middle
pricke
in
any
circle
,
equally
distant
from
the
edge
of
the
circle
in
euery
place
.
AParelell
line
or
circle
is
,
if
two
lines
or
more
(
how
many
soeuer
there
be
)
be
equally
distaunt
in
euery
place
alike
,
being
right
lines
.
24.
Auge
what
it
is
.
AVge
is
a
point
in
the
heauens
,
when
the
Sunne
or
Moone
is
excentrick
,
going
neerer
vnto
the
heauens
,
and
further
from
the
earth
than
hir
common
order
is
:
and
the
opposition
thereof
is
,
when
that
the
Sunne
and
Moone
do
come
nearer
vnto
the
earth
than
they
do
at
any
other
time
.
The
vse
thereof
.
THe
vse
thereof
is
,
to
knowe
when
that
they
be
in
theyr
swift
motion
,
or
in
their
slow
motion
:
in
the
point
of
Auge
,
they
be
in
their
slow
motion
,
in
the
opposition
thereof
in
their
swift
motion
.
25.
What
the
head
or
tayle
of
the
Dragon
is
.
THe
head
of
the
Dragon
,
is
the
place
where
that
the
Moone
dothe
come
ouer
the
line
Ecliptick
,
from
the
South
part
,
vnto
the
North
part
:
and
the
tayle
of
the
Dragon
is
,
where
the
Moone
passeth
ouer
the
line
ecliptick
,
from
the
Northe
part
,
vnto
the
South
part
.
The
vse
of
the
head
and
tayle
of
the
Dragon
.
TThe
vse
of
the
head
and
tayle
of
the
Dragon
,
is
to
know
,
when
that
there
is
any
eclipse
of
the
Sunne
or
Mone
:
and
of
what
quantitie
or
greatnesse
the
eclipse
is
.
26.
What
Nauigation
is
.
NAuigation
is
this
,
how
to
direct
his
course
in
the
Sea
to
any
place
assigned
,
and
to
consider
in
that
direction
what
things
may
stande
with
him
,
&
what
things
may
stand
against
him
,
hauing
consideration
how
to
preserue
the
ship
in
all
stormes
and
chaunges
of
weather
that
may
happen
by
the
way
,
to
bring
the
ship
safe
vnto
the
port
assigned
,
and
in
the
shortest
time
.
The
vse
of
Nauigation
.
THe
vse
thereof
is
this
,
fyrste
too
knowe
howe
that
the
place
dothe
beare
from
him
,
by
what
winde
or
poynte
of
the
compasse
,
and
also
how
farre
that
the
place
is
from
hym
,
and
also
to
consider
the
streame
,
or
tide
gates
,
Currents
,
which
way
that
they
do
set
or
driue
the
ship
,
and
also
to
consider
what
daungers
is
by
the
waye
,
as
rockes
and
sandes
,
and
suche
other
lyke
impedimentes
,
and
also
if
that
the
wynde
chaunge
or
shifte
by
the
waye
,
to
consider
which
way
to
stand
,
and
direct
his
course
vnto
the
most
aduantage
to
attayne
vnto
the
port
in
shortest
time
:
and
also
if
anye
stormes
doe
happen
by
the
way
,
to
consider
how
for
to
preserue
the
shippe
and
the
goodes
,
and
too
bring
hir
safe
vnto
the
porte
assygned
.
And
also
it
is
moste
principally
to
be
considered
and
foreséene
,
that
if
they
haue
hadde
by
occasion
of
a
contrarye
tempest
,
for
too
goe
very
muche
out
of
the
course
or
way
,
too
knowe
then
howe
that
the
place
dothe
then
beare
,
that
is
to
say
,
by
what
poynte
of
the
compasse
the
place
dothe
stande
from
you
:
and
also
how
farre
it
may
be
from
you
.
Whyche
way
to
bée
knowne
is
this
:
firste
to
consider
by
what
poynte
that
the
shippe
hath
made
hir
way
by
,
and
how
fast
and
swiftly
that
the
shippe
hathe
gone
,
and
to
consider
how
often
that
the
shippe
hathe
altered
hir
course
,
and
how
muche
that
she
hathe
gone
at
euery
tyme
,
and
then
to
consider
all
thys
in
youre
platte
or
carde
,
and
so
you
may
gyue
an
néere
gesse
,
by
what
poynte
or
wynde
it
beareth
from
you
,
and
also
howe
farre
it
is
thither
.
And
also
you
may
haue
a
greate
helpe
by
the
Sunne
or
Starres
,
to
take
the
heigthe
of
the
Pole
aboue
the
horizon
,
and
also
in
some
place
you
may
gesse
by
the
sounding
,
bothe
by
the
depth
,
and
also
by
the
grounde
.
And
also
it
is
verye
meete
and
necessarye
to
knowe
any
place
,
when
that
hée
dothe
sée
it
.
27.
Of
instrumentes
to
vse
at
the
Sea
for
to
take
he
heigthe
of
the
Sunne
or
any
Starres
.
ALl
instrumentes
too
take
the
heighte
of
the
Sunne
or
anye
Starre
,
the
originall
of
the
making
thereof
,
it
is
eyther
a
circle
or
the
parte
of
a
circle
,
whose
diuision
is
the
.360
.
parte
of
a
circle
,
what
forme
soeuer
that
it
hathe
,
as
your
crosse
staffe
,
it
is
marked
according
vnto
the
proportion
of
a
circle
,
and
euery
one
of
the
degrées
,
is
the
equall
parte
of
a
circle
,
the
thrée
hundred
and
sixtie
part
.
&c.
The
vse
of
the
Instruments
.
THe
vse
of
the
Instrumentes
,
as
Astrolobes
or
common
Kings
,
or
the
crosse
staffe
,
is
to
take
the
heigth
of
the
sunne
or
other
stars
,
whose
vses
doe
folow
héere
after
in
the
boke
.
28.
What
maner
of
persons
be
meetest
to
take
charge
of
Shippes
in
Nauigation
.
AS
touching
those
persons
that
are
méete
to
take
charge
,
that
is
to
say
,
to
be
as
maister
of
ships
in
Nauigation
,
he
ought
to
be
sober
and
wise
,
and
not
to
be
light
or
rash
headed
,
nor
to
be
to
fumish
or
hasty
,
but
such
a
one
as
can
wel
gouern
himselfe
,
for
else
it
is
not
possible
for
him
to
gouerne
his
company
well
:
he
ought
not
to
be
to
simple
,
but
he
must
be
suche
a
one
as
must
kéepe
his
companie
in
awe
of
him
(
by
discretion
,
)
doing
his
companie
no
iniurie
or
wrong
,
but
to
let
them
haue
that
whiche
men
ought
to
haue
,
and
then
to
sée
vnto
them
that
they
doe
their
laboure
as
men
ought
to
doe
in
all
points
.
And
the
principall
point
in
gouernment
is
,
to
cause
himself
both
to
be
feared
&
loued
,
&
that
groweth
principally
by
this
meanes
,
to
cherishe
men
in
well
doing
,
and
those
men
that
be
honestly
addicted
,
to
let
them
haue
reasonable
preheminence
,
so
that
it
be
not
hurtfull
vnto
the
Marchaunt
nor
to
himselfe
,
and
to
punishe
those
that
be
malefactors
and
disturbers
of
their
company
,
and
for
smal
faults
,
to
giue
them
gentle
admonition
to
amende
them
:
and
principally
these
two
pointes
are
to
be
foreseene
by
the
maisters
,
(
that
is
)
to
serue
God
himselfe
,
and
to
see
that
all
the
whole
companie
do
so
in
like
maner
,
at
suche
conuenient
time
as
it
is
meete
to
be
done
:
the
second
point
is
,
that
the
master
vse
no
play
at
the
dise
or
cards
,
neither
(
as
near
as
he
can
)
to
suffer
any
,
for
the
sufferance
therof
may
do
very
much
hurt
in
diuers
respects
:
And
furthermore
,
the
maister
ought
to
be
suche
a
one
,
as
dothe
knowe
the
Moones
course
,
whereby
he
doth
knowe
at
what
time
it
is
a
full
Sea
,
or
a
lowe
water
,
knowing
in
what
quarter
or
part
of
the
skye
,
that
the
Moone
doth
make
a
full
Sea
at
that
place
,
and
also
the
master
ought
to
bée
acquainted
,
or
knowe
that
place
well
,
that
he
doth
take
charge
to
goe
vnto
(
except
that
he
haue
a
Pilot
)
and
also
he
that
taketh
charge
vpon
him
,
ought
to
be
expert
,
how
the
tydegates
or
currentes
doe
set
from
place
vnto
place
:
and
also
not
to
bée
ignorant
of
such
daungers
as
lyeth
by
the
way
,
as
rocks
,
sandes
,
or
bankes
,
and
also
most
principally
he
ought
to
bée
suche
a
one
,
as
can
very
well
directe
his
courses
vnto
any
place
assigned
,
and
to
haue
capacitie
howe
for
to
handle
or
shift
himselfe
in
foule
weather
or
stormes
.
And
also
it
behoueth
him
too
be
a
good
coaster
,
that
is
to
say
,
to
knowe
euery
place
by
the
sight
thereof
.
And
also
he
that
taketh
charge
for
long
voyages
,
ought
to
haue
knowledge
in
plats
or
cardes
,
and
also
in
such
instruments
as
be
meet
to
take
the
heigth
of
the
Sunne
or
any
Starre
,
and
to
haue
capacitie
to
correcte
those
instrumentes
,
and
also
he
ought
to
be
suche
a
one
,
that
can
calculate
the
Sunnes
declination
,
or
else
to
haue
some
true
regiment
,
and
also
he
ought
to
knowe
howe
to
handle
the
Sunnes
declination
,
when
that
he
hath
taken
the
heigth
of
the
Sunne
.
¶
Nowe
beginneth
the
Regiment
for
the
Sea
,
the
first
Chapter
or
rule
of
Nauigation
,
and
sheweth
what
the
.32
.
pointes
of
the
Compasse
is
,
and
to
what
vses
they
do
serue
.
THe
first
&
most
principall
thing
for
any
seafaring
man
or
traueller
,
is
to
know
toward
what
part
of
the
Earth
he
meaneth
to
go
,
&
then
being
vpon
the
sea
,
ther
he
seeth
no
path
nor
mark
to
trauell
by
,
but
only
the
vse
of
the
Needle
or
compasse
.
And
to
shewe
the
cause
how
they
in
olde
time
did
finde
them
or
called
them
,
is
sufficiently
declared
by
other
,
but
this
is
to
be
noted
:
8.
Capitall
or
head
pointes
.
There
be
eight
capitall
or
head
windes
or
poyntes
,
and
foure
of
them
haue
their
names
properly
of
themselues
,
and
the
other
foure
of
them
,
are
deriued
,
or
take
their
names
of
the
other
foure
,
as
this
,
South
commeth
directly
from
the
Meridian
,
and
North
is
directly
againste
it
,
and
East
commeth
from
the
Equinoctiall
poynte
,
towardes
the
partes
of
the
Sunne
rysing
,
and
Weast
is
right
against
it
,
Northeast
is
in
the
midway
betwéene
the
Easte
and
the
North
,
and
Southeast
in
the
mid-way
betweent
the
East
and
the
South
,
and
Southwest
betwéene
the
Weast
and
the
South
,
and
Northweast
in
the
middle
betweene
the
North
and
the
Weast
.
8.
Inferior
pointes
or
winds
.
And
then
there
be
eight
inferior
points
,
or
winds
,
halfe
way
betweene
euery
one
of
those
.8
.
capitall
or
head
poynts
or
wynds
,
and
that
is
Northe
Northeast
,
East
Northeast
,
East
Southeast
,
and
Southe
Southeaste
,
and
South
Southweast
,
and
Weaste
Southweaste
,
and
Weaste
Northweaste
,
and
Northe
Northweaste
:
and
nowe
betweene
euerie
one
of
these
inferioure
poyntes
,
and
euerye
one
of
the
heade
wyndes
there
is
a
by
poynt
or
winde
,
and
he
is
called
a
by
point
,
for
that
he
is
not
named
but
by
the
name
of
one
of
the
head●
points
next
adioyning
.
16.
by
pointes
or
windes
.
There
be
.16
.
of
them
in
number
,
so
that
there
be
.8
.
capitall
or
head
points
,
and
.8
.
inferior
points
,
and
16.
by
pointes
or
windes
,
so
that
in
all
there
be
.32
.
of
them
.
The
vse
of
these
points
is
,
to
direct
the
shippe
to
what
quarter
of
the
world
you
do
assigne
,
to
keepe
that
course
to
find
the
place
so
assygned
,
for
that
the
propertie
of
the
Needle
or
Flye
,
is
alwayes
to
stand
due
South
and
North.
As
touching
Nauigation
,
for
the
instructions
of
the
meanest
I
haue
set
this
figure
or
compasse
,
where
first
is
to
be
noted
the
.32
.
winds
and
poynts
of
the
compasse
aboue
made
.
The
flouredeluce
is
the
first
pointe
,
and
these
be
the
names
,
beginning
at
the
North
,
and
so
with
the
course
of
the
Sunne
to
say
North
.1
.
North
and
by
East
.2
.
North
noreast
.3
.
Thenames
of
the
.32
.
pointes
of
the
compa●se
.
North
east
and
by
North
.4
.
Northeast
.5
.
Northeast
and
by
East
.6
.
East
Northeast
.7
.
East
and
by
North
.8
.
East
.9
.
East
and
by
South
.10
,
Easte
Southeast
.11
.
Southeast
and
by
East
.12
.
Southeast
.13
.
Southeast
and
by
South
.14
.
South
southeast
.
15.
South
and
by
East
.16
.
South
.17
.
South
and
by
Weast
.18
South
Southwest
.19
.
Southweast
and
by
South
.20
.
South
weast
.21
.
Southwest
and
by
Weast
.22
.
Weast
Southwest
.
23.
Weast
and
by
South
.24
.
West
.25
.
Weast
and
by
North.
26.
Weast
Northweast
.27
.
Northweast
and
by
Weast
.28
.
Northweast
.29
.
Northeast
and
by
North
.30
.
North
Northweast
.31
.
North
and
by
Weast
.32
.
This
is
the
whole
contents
of
the
.32
.
windes
,
The
contents
of
the
Equinoctiall
circle
360.
degres
one
point
of
the
compasse
contayneth
11.
degrees
and
a
quarter
.
and
there
is
in
the
compasse
the
contents
of
the
great
circle
,
or
Equinoctiall
circle
being
.360
degrées
in
compasse
,
so
that
euery
point
containeth
.11
.
degrees
,
and
¼
and
.4
.
points
containe
.45
.
degrées
.8
.
points
containeth
one
quarter
of
the
compasse
or
Equinoctiall
circle
,
being
.90
.
degrées
.16
.
points
containeth
halfe
the
circumference
.180
.
degrees
,
and
euery
degree
containeth
.60
.
secondes
and
so
forth
.
Furthermore
,
the
.32
.
pointes
containe
.24
.
houres
,
that
is
to
say
,
one
point
containeth
.3
.
quarters
of
an
hour
.45
.
minutes
:
and
.2
.
pointes
one
houre
and
a
halfe
.4
.
pointes
.3
.
houres
:
The
.32
.
pointes
brought
into
.24
.
houres
.
8.
poyntes
.6
.
houres
.12
.
poyntes
.9
.
houres
.16
.
poyntes
.12
.
houres
,
and
so
to
the
rest
of
the
poyntes
.
And
euery
houre
contayneth
.60
.
minutes
:
and
euery
halfe
houre
.30
.
minutes
,
and
euery
quarter
of
an
houre
.15
.
minutes
:
and
after
that
rate
.45
.
minutes
maketh
thrée
quarters
of
an
houre
.
¶
The
second
Chapter
or
rule
treateth
of
the
Golden
number
or
Prime
,
shewing
the
Epacte
,
and
by
the
Epacte
to
knowe
the
Age
of
the
Moone
.
IT
is
necessary
and
conuenient
for
the
Seafaring
men
,
to
knowe
the
Prime
or
Golden
number
:
for
by
the
Golden
number
is
knowne
the
Epacte
,
and
the
Epacte
sheweth
the
age
of
the
Moone
or
chaunge
day
,
within
.12
.
houres
vnder
or
ouer
:
and
by
the
age
of
the
Moone
,
you
may
know
at
what
a
clocke
it
doth
flowe
in
any
place
that
you
doe
knowe
what
Moone
doth
make
a
full
Sea
:
therefore
it
is
méete
too
know
the
Epacte
,
and
that
is
knowne
by
the
Pryme
,
or
Golden
number
.
The
cause
why
that
it
was
called
the
Pryme
or
Golden
number
.
The
cause
why
it
was
called
the
Golden
number
,
was
bycause
it
was
sent
out
of
Egypte
in
letters
of
golde
,
too
the
Romaines
or
Citie
of
Rome
.
The
cause
why
that
it
is
called
the
Pryme
,
was
for
that
it
was
the
first
order
that
the
Moones
course
was
known
by
,
and
it
is
thus
knowne
.
Adde
one
to
the
yeare
of
our
Lord
that
you
would
knowe
the
Golden
number
or
Pryme
of
,
then
deuide
the
number
by
.19
.
the
remainer
is
the
Pryme
:
To
knowe
howe
many
the
Epact
is
.
and
multiply
that
by
.11
.
and
looke
what
the
number
commeth
vnto
,
deuide
that
by
.30
.
the
remayner
is
the
Epact.
Then
when
you
haue
once
the
Epact
,
adde
.11
.
to
your
Epact
for
euery
yere
more
,
and
looke
what
that
commeth
to
,
that
is
your
Epact
:
and
if
it
do
passe
.30
.
put
that
away
,
and
keepe
the
remainer
for
your
Epact.
And
thus
this
rule
will
serue
for
euer
,
sauing
when
the
Pryme
beginneth
at
one
,
for
then
the
Epacte
is
.11
.
and
then
doe
(
as
aforesayde
)
as
you
may
perceyue
by
this
table
héere
following
.
¶
The
Table
of
Pryme
and
Epacte
for
.19
.
yeares
,
and
when
those
.19
.
yeares
be
ended
,
then
beginne
againe
,
and
so
it
will
serue
for
euer
.
&c.
The
yere
of
the
Lorde
.
|
Pryme
.
|
Epact.
|
1574
|
17
|
7
|
1575
|
18
|
18
|
1576
|
19
|
29
|
1577
|
1
|
11
|
1578
|
2
|
22
|
1579
|
3
|
3
|
1580
|
4
|
14
|
1581
|
5
|
25
|
1582
|
6
|
6
|
1583
|
7
|
17
|
1584
|
8
|
28
|
1585
|
9
|
9
|
1586
|
10
|
20
|
1587
|
11
|
1
|
1588
|
12
|
12
|
1589
|
13
|
23
|
1590
|
14
|
4
|
1591
|
15
|
15
|
1592
|
16
|
26
|
THe
Prime
or
Golden
number
,
is
the
time
of
.19
.
yeares
,
in
the
which
time
the
Moone
maketh
all
hir
chaunges
or
coniunctions
with
the
Sunne
,
and
when
all
these
.19
.
yeares
be
expired
,
then
she
beginneth
againe
:
as
for
example
.
The
pryme
is
the
time
of
.19
.
yeres
This
yeare
being
the
yeare
of
our
Lord
.1574
.
she
chaunged
the
.22
.
day
of
March
,
and
euery
yere
doth
alter
.11
.
days
of
hir
change
till
the
yere
.1593
.
and
then
she
chaungeth
the
sayd
.22
.
daye
of
March
againe
,
as
I
shewed
you
before
.
The
Epacte
is
the
putting
to
.11
.
for
euery
yeare
.
Nowe
furthermore
to
knowe
the
age
of
the
Moone
,
do
thus
:
take
the
number
of
the
Epact
for
your
yere
(
beginning
at
March
alwayes
)
and
recken
how
many
monthes
it
is
from
March
,
(
counting
March
for
one
)
then
recken
howe
many
dayes
of
the
moneth
it
is
in
whiche
you
would
knowe
the
age
of
the
Moone
:
To
knowe
the
age
of
the
Moone
by
the
number
of
the
Epact.
Then
put
all
your
numbers
togither
,
(
that
is
to
say
,
your
Epacte
,
your
moneth
from
March
,
and
euery
day
of
the
moneth
,
)
then
looke
howe
many
it
amounteth
vnto
,
that
is
the
age
of
the
Moone
,
but
if
it
passe
.30
.
throwe
all
the
.30
.
away
,
and
kéepe
that
that
will
not
be
.30
.
for
when
the
age
of
the
Moone
is
iust
.30
.
then
is
it
the
chaunge
daye
:
and
if
it
be
the
fiftéenth
daye
of
the
age
of
the
Moone
,
then
the
Moone
is
at
the
full
.
When
the
age
is
betwéene
seuen
dayes
and
eight
,
then
is
the
first
quarter
.
And
if
it
be
.xxij.
dayes
olde
,
then
the
Moone
is
at
the
laste
quarter
:
as
for
example
,
this
yeare
.1574
.
I
looke
and
finde
the
Epacte
.7
.
for
the
yeare
,
nowe
I
woulde
knowe
the
age
of
the
Moone
,
the
.13
.
daye
of
Iune
.
Nowe
I
recken
how
many
monthes
it
is
from
March
,
reckning
March
for
one
,
and
I
finde
it
is
foure
monethes
,
then
I
take
and
adde
all
these
togyther
,
that
is
to
say
,
seuen
for
the
Epacte
,
and
foure
for
the
monethes
(
that
is
to
say
,
March
,
Aprill
,
May
,
Iune
)
and
then
.13
.
for
the
dayes
of
the
moneth
,
and
all
commeth
to
.24
.
So
that
you
may
conclude
that
the
Moone
is
.24
.
days
olde
,
and
was
at
the
last
quarter
two
dayes
before
.
¶
The
thirde
Chapter
or
rule
treateth
,
how
to
know
by
the
age
of
the
Moone
what
houre
it
dothe
flowe
,
or
is
full
Sea
at
any
place
,
where
you
doe
knowe
what
Moone
maketh
a
full
Sea
.
NOwe
by
the
age
of
the
Moone
you
may
knowe
at
what
houre
it
floweth
in
any
place
,
where
you
do
know
what
Moone
maketh
a
full
Sea
,
whiche
rule
commonly
the
Sea
men
cal
the
shifting
their
Sunne
and
Moone
:
and
many
wayes
there
be
too
doe
it
,
for
thus
they
may
doe
it
:
Let
them
deuide
one
houre
into
.5
.
parts
,
and
then
take
.4
.
of
those
parts
,
and
put
the
fifth
part
away
,
To
knowe
the
alteration
of
the
●ides
in
.24
houres
.
that
serueth
for
the
alteration
of
24.
houres
,
&
the
foure
fift
parts
of
an
houre
,
are
.48
.
minuts
,
and
the
.5
.
part
of
an
houre
is
.12
.
minuts
.
A
floud
and
an
ebbe
,
dothe
alter
.24
.
minuts
forwards
:
as
this
for
example
:
it
floweth
at
.12
.
of
the
clocke
at
the
Lands
end
vpon
the
chaunge
day
,
the
Moone
being
in
the
South
:
at
all
times
a
full
Sea
▪
The
Moone
being
one
day
old
,
it
floweth
at
.12
.
of
the
clocke
.
48.
minuts
.2
.
dayes
olde
it
floweth
at
one
of
the
clock
.36
.
minuts
.3
.
days
old
it
floweth
at
.2
.
of
the
clock
.24
.
minuts
:
four
dayes
old
it
floweth
at
.3
.
of
the
clocke
.12
.
minuts
:
fiue
dayes
old
,
it
floweth
at
.4
.
of
the
clocke
iust
:
Sixe
dayes
old
,
it
floweth
at
.4
.
of
the
clocke
.48
.
minuts
:
Seuen
dayes
old
at
.5
.
of
the
clocke
.36
.
minuts
:
An
ensample
for
the
full
Sea
vppon
the
●●nds
end
▪
for
euery
day
of
the
age
of
the
Moone
.
Eight
dayes
old
at
.6
.
of
the
clocke
.24
▪
minuts
:
Nine
dayes
old
,
at
.7
.
of
the
clocke
.12
.
minuts
:
Ten
dayes
old
,
it
floweth
at
.8
.
of
the
clocke
iust
:
Eleuen
dayes
old
at
.8
.
of
the
clocke
.48
.
minuts
:
12.
dayes
.9
of
the
clocke
.36
.
minuts
:
13.
dayes
old
.10
.
of
the
clocke
.24
.
minuts
:
14.
days
old
,
it
floweth
at
.11
.
of
the
clocke
.12
.
minuts
:
15.
dayes
old
,
it
floweth
at
.12
.
of
the
clock
iust
,
then
being
the
full
Moone
:
and
so
begin
againe
as
you
did
before
at
one
day
old
,
and
so
foorth
.
For
the
course
of
the
tides
is
nothing
else
but
to
adde
for
euery
day●
of
the
age
of
the
Moone
one
houre
,
pulling
backe
the
fifth
par●
of
an
houre
(
being
.12
.
minuts
)
and
by
this
accompt
you
maye
at
all
times
knowe
at
what
a
clocke
it
doth
flowe
,
by
putting
to
euery
floudde
and
ebbe
.24
.
minuts
,
and
to
.2
.
flouds
and
.2
.
ebbes
putting
to
.48
.
minuts
.
To
shift
the
Sunne
and
Moone
by
the
points
of
the
compasse
.
Now
furthermore
the
Seamen
vse
to
make
their
accompt
by
this
meanes
(
but
it
is
all
one
)
they
do
allow
for
euery
day
of
the
age
of
the
Moone
,
one
point
and
.3
minuts
:
for
a
point
of
the
compasse
conteineth
.
45.
minuts
that
is
.3
.
quarters
of
an
houre
.
Then
they
put
.3
.
minuts
to
.45
.
minuts
,
which
maketh
.48
.
minuts
,
the
sayd
.3
.
minuts
be
the
.15
.
part
of
a
point
,
and
from
the
chaunge
to
the
full
is
.15
.
days
,
so
that
(
the
halfe
compasse
being
.16
.
pointes
)
they
breake
the
odde
point
into
.15
.
partes
,
and
that
commeth
to
.3
.
minuts
,
so
that
the
alteration
of
the
tides
,
for
euery
.24
.
houres
,
be
.48
.
minuts
,
or
the
.4
.
fifth
parts
of
an
houre
.
Wherfore
there
shall
follow
a
table
of
tides
about
certain
places
of
this
realme
:
for
euery
Moone
conteineth
.29
.
dayes
.12
.
hours
.44
.
minutes
from
chaunge
to
chaunge
:
The
contente
of
the
numbre
of
dayes
and
houres
in
one
moone
:
the
houres
in
euery
mone
be
.708.44
minuts
.
The
contente
of
a
year
is
.365
dayes
.5
.
hours
.55
.
Minuts
.
How
the
mooneths
tooke
their
names
.
the
whole
contents
of
the
houres
of
the
Moone
,
be
.708
.
houres
,
and
.44
.
minuts
.
And
there
is
in
euery
yeare
.12
.
changes
of
the
Moone
:
and
the
yeare
conteineth
.365
.
days
.5
.
houres
.55
.
minuts
.13
.
seconds
.
Yet
some
do
affirme
to
be
adde
.6
.
houres
,
but
there
lacketh
.4
.
minuts
.47
.
seconds
in
the
tropicall
yeare
.
Likewise
in
the
yeare
be
.12
.
moneths
agreable
to
the
.12
.
Moones
:
the
12.
Moones
conteine
but
.354
.
dayes
,
so
that
there
be
.11
.
dais
more
in
the
yeare
,
than
there
be
in
the
.12
.
moones
.
The
yeare
also
is
deuided
into
.12
.
moneths
,
which
mooneths
haue
taken
their
names
at
the
will
and
pleasure
of
menne
:
as
first
Ianuary
,
was
so
called
,
of
Ianus
bycause
of
.2
.
heades
,
for
the
month
of
Ianuary
beholdeth
the
end
of
the
yeare
past
and
the
beginning
of
the
yeare
to
come
.
February
tooke
his
name
of
certaine
romaine
sacrifices
called
Februa
.
March
is
so
called
of
Mars
,
for
Romulus
so
named
it
after
his
father
.
Aprill
commes
of
Aperio
,
bycause
that
then
the
earth
is
opened
.
Maye
of
Maia
,
the
mother
of
Mercury
,
Iune
so
called
by
preparing
to
the
warre
.
Iuly
of
Iulius
Cesar
,
and
Augustus
of
Augustus
Cesar
for
in
that
month
he
entred
the
consulship
:
then
the
rest
of
the
months
toke
their
names
of
their
numbre
from
March
.
Now
these
.12
.
months
which
maketh
the
yeare
,
the
Sunne
dothe
passe
or
go
through
the
Zodiack
called
the
.12
.
signes
,
which
is
the
occasion
of
the
yeare
,
for
this
is
to
be
noted
,
that
the
sunne
as
I
saide
before
,
doth
go
by
his
naturall
mouing
in
.365
.
days
.5
.
houres
.55
.
minuts
.13
.
seconds
,
The
Zodiack
conteyneth
.360
.
degrees
.
through
the
Zodiack
,
conteining
.360
.
degrées
,
his
course
being
againste
the
24.
houres
,
going
from
the
Weast
into
the
East
,
against
the
course
of
primum
mobile
,
or
first
mouer
,
being
moued
by
the
mighty
prouidence
of
God
,
The
moouing
of
.24
.
houres
.
which
maketh
the
.24
.
houres
:
and
so
dothe
all
the
seuen
lights
,
or
planets
,
(
except
)
that
it
be
in
their
retrogratiō
:
but
the
Sunne
and
the
Moone
,
be
neuer
retrograt
,
as
the
other
.5
.
planets
or
lights
be
.
And
this
is
to
be
noted
,
that
the
Moone
goeth
faster
than
the
Sunne
,
for
she
goeth
through
the
whole
Zodiack
in
.27
.
dayes
and
.8
.
houres
.
The
tyme
that
the
Moone
goeth
thorow
the
.12
.
signes
.
Now
in
that
same
time
the
sunne
is
remoued
by
his
natural
mouing
from
that
place
of
the
Zodiack
neare
.27
.
degrees
:
and
then
bycause
that
the
Moone
hath
not
found
the
Sunne
ther
,
it
is
.2
.
dayes
foure
houres
foure
and
forty
minuts
more
before
that
the
Moone
ouertaketh
the
Sunne
againe
,
so
by
that
meanes
it
is
.29
.
dayes
twelue
houres
and
.44
.
minuts
betwéene
the
chaunge
of
the
Moone
and
the
next
chaunge
,
one
Moone
with
an
other
thorowe
the
yeare
,
although
that
the
Moone
may
chaunge
sometime
in
lesse
time
and
sometime
in
longer
time
,
that
is
by
the
meanes
of
the
.3
.
The
.3
.
motions
of
the
Moone
.
motions
of
the
Moone
,
that
is
to
say
hir
swift
motion
and
hir
midle
motion
and
hir
slow
motion
,
whiche
groweth
by
the
meanes
of
the
moones
Auge
or
opposition
thereof
.
Of
Auge
.
The
Moone
being
in
Auge
,
goeth
but
little
more
than
.12
degrees
in
.24
.
hours
.
And
in
the
opposition
of
Auge
néere
.15
.
degrees
in
.24
.
hours
,
and
in
hir
middle
or
equall
motion
.13
.
degrées
.12
.
minuts
.
So
this
is
the
occasion
why
sometime
the
Moone
may
chaunge
sooner
or
be
detracted
longer
than
the
time
of
.29
.
dayes
.12
.
The
cause
why
the
Moone
chaungeth
rather
or
later
.
houres
and
44.
minutes
.
This
point
of
Auge
is
mouable
,
and
doth
passe
thorough
the
Zodiack
in
the
time
of
.19
.
yeare
:
and
it
causeth
sometime
the
full
of
the
Moone
to
happen
sooner
and
later
.
In
like
manner
also
the
quarters
of
the
Moone
,
with
al
the
other
aspects
that
the
Moone
hath
with
the
Sunne
,
or
any
other
of
the
planets
,
according
to
the
moones
motion
.
In
like
maner
(
by
the
meanes
of
the
.3
.
motions
of
the
Moone
)
sometime
the
Moone
goeth
more
than
one
point
and
.3
minuts
in
.24
.
hours
,
The
mone
goeth
in
.24
hours
somtimes
more
degrees
and
sometime
fewer
degrees
.
and
sometimes
lesse
than
one
point
and
.3
.
minuts
,
as
this
for
example
:
the
Moone
being
in
hir
slow
motion
,
goeth
but
little
more
than
.12
.
degrées
in
.24
.
hours
,
and
then
the
Sunne
in
that
time
doth
go
one
degree
:
and
then
is
there
but
.11
.
degrees
betwéene
the
Sunne
and
the
Moone
(
that
is
but
.44
.
minuts
)
So
that
the
Moone
is
not
one
point
in
.24
.
houres
from
the
sunne
.
The
moue
is
not
one
point
asunder
from
the
Sunne
in
.24
.
houres
.
But
being
in
hir
swift
motion
she
goeth
néere
.15
.
degrees
in
.24
.
houres
,
and
the
Sunne
goeth
one
degree
in
that
time
:
so
that
there
is
.14
.
degrees
in
.24
.
houres
,
betwéene
the
Moone
and
the
Sunne
,
(
that
is
.56
.
minuts
)
which
is
a
pointe
and
.11
.
minuts
.23
.
But
notwithstanding
I
would
not
wish
the
common
Marriners
to
trouble
themselues
with
these
matters
,
The
mone
is
in
.24
.
houres
a
point
and
.11
.
minuts
asunder
from
the
Sunne
but
to
followe
their
accustomed
order
,
to
allowe
for
euery
day
of
the
age
of
the
Moone
,
one
pointe
,
and
.3
.
minuts
,
&c.
And
thus
muche
haue
I
said
of
the
Moones
motion
:
for
that
some
Sea
men
will
take
vpon
them
to
correct
the
Almanacks
as
touching
the
chaunge
and
quarters
of
the
Moone
:
holding
this
opinion
,
that
euery
Moone
ought
to
be
equal
in
the
number
of
the
dayes
and
houres
:
and
the
full
moones
to
be
iust
the
halfe
contents
.
And
the
quarters
in
like
manner
,
the
iust
.4
.
parte
in
days
and
hours
,
Error
of
Marriners
so
that
some
of
them
will
take
vpon
them
to
tel
(
by
the
rule
of
the
epact
,
)
the
true
houre
of
the
change
,
quarters
and
full
of
the
Moone
.
Wherein
they
are
notably
deceiued
.
Againe
,
sometime
in
the
yeare
you
shall
sée
the
Moone
rarer
than
at
some
other
time
,
as
this
for
example
:
from
Ianuary
to
Iune
you
shall
sée
the
Moone
within
.24
.
houres
after
the
chaunge
:
bycause
she
hath
North
declination
of
the
Sunne
,
and
maketh
a
bigger
arche
than
the
Sunne
.
From
Iuly
to
December
you
shall
not
sée
the
Moone
.3
.
dayes
after
the
change
:
bicause
hir
declination
is
to
the
South
part
of
the
Sunne
:
but
you
may
see
hir
in
.24
.
houres
,
before
hir
chaunge
.
Now
,
the
Sea
men
do
imagin
a
prime
day
,
which
is
the
halfe
quarter
of
the
Moone
,
that
is
:
when
the
Moone
is
thre
days
and
.8
houres
old
,
(
the
Moone
being
then
.4
.
points
to
the
Eastward
of
the
Sunne
,
whiche
is
3.
houres
)
the
same
rule
may
they
in
like
case
obserue
when
the
Moone
is
paste
the
full
.3
.
days
and
.18
.
houres
,
and
also
in
the
middes
of
the
quarters
.
Here
followeth
a
table
of
Tides
.
FIrst
,
the
Moone
South
or
North
:
on
Landes
ende
full
Sea
.
The
Moone
South
and
by
East
:
at
the
Gore
ende
full
Sea
.
The
Moone
South
southwest
:
betwéene
holy
Iland
and
Tinemouth
full
Sea
.
It
floweth
betwéene
Tinemouth
and
Flambrough
head
,
Southwest
and
Northeast
Moone
.
It
floweth
betwéene
Flambrough
head
and
Bridlington
in
the
bay
:
a
South
west
and
by
West
Moone
.
The
Moone
in
the
West
Southwest
:
betwéene
Bridlington
and
Laurenas
full
Sea
.
It
floweth
betwéene
Laurenas
and
Cromer
all
along
the
well
:
an
East
and
West
Moone
.
It
floweth
betwéene
Cromer
and
Yarmouth
rode
,
to
Laystow
North
rode
:
a
Southeast
Moone
.
It
floweth
betwéene
Laistowe
rode
and
Orfordenas
:
a
Southeast
and
by
South
Moone
.
It
floweth
betweene
Orford
,
and
Orewel
wands
:
a
South
Southeast
Moone
.
It
floweth
betwéene
the
Nas
&
the
Ware
head
of
Colne
:
a
South
and
by
East
Moone
.
It
floweth
at
the
Spittes
and
at
the
Sheue
and
al
alongst
the
Swinne
:
a
South
Moone
.
At
the
West
end
of
the
Norre
:
a
Southe
and
by
West
Moone
,
full
Sea
.
It
floweth
at
Grauesend
:
a
South
Southwest
Moone
.
It
floweth
at
London
Bridge
:
a
Southwest
Moone
.
It
floweth
at
the
North
forlande
:
a
South
Southeast
Moone
,
&
so
alongst
the
coast
till
you
come
to
Bechy
.
And
in
the
ofton
from
the
North
forland
to
the
South
forland
:
it
runneth
halfe
tide
.
And
from
the
South
forland
to
the
Nas
:
the
tide
runneth
halfe
tyde
halfe
quarter
.
And
from
the
Nas
to
the
Fairely
:
it
runneth
halfe
tide
,
and
from
Fairely
to
Beche
:
it
runneth
quarter
tide
vnder
other
.
It
floweth
to
the
Weastward
of
Beche
,
a
kenning
:
a
Southeast
and
by
South
Moone
.
It
floweth
at
Portesmouth
:
a
Southe
and
by
East
Moone
.
It
floweth
at
S.
Elens
:
a
South
Southeast
Moone
.
It
floweth
on
the
Sea
side
of
the
Iland
:
a
Southeast
and
by
South
Moone
:
and
so
on
the
Lande
,
and
at
the
Needles
,
and
runneth
quarter
tide
in
the
oftonne
.
It
floweth
at
Poole
in
the
hauen
:
a
Southeast
Moone
.
It
floweth
at
Waymouth
:
an
East
and
West
Moone
.
It
floweth
at
Portland
a
Southeast
Moone
.
It
floweth
from
the
Weaste
parte
of
Portlande
,
till
you
come
vntoo
Plymmouth
:
an
East
and
Weast
Moone
.
It
floweth
on
the
shoare
from
Plymmouth
to
the
Lizard
:
a
West
and
by
Southe
Moone
.
And
in
the
oftonne
a
Southeast
Moone
.
It
floweth
at
Mountes
baye
:
an
East
and
Weaste
Moone
.
It
floweth
at
Selly
:
a
West
and
by
South
Moone
.
It
floweth
at
the
Landes
ende
of
Goolfe
:
a
West
Southwest
Moone
.
It
floweth
all
alongst
the
coast
vp
to
Bristowe
,
and
the
coast
of
Ireland
,
from
Waterford
to
Kinsale
:
a
West
and
by
South
Moone
.
Furthermore
it
floweth
(
for
the
most
part
)
from
the
poll
head
of
Burdeaux
all
alongst
the
coast
of
Biskey
,
Galiza
,
Portingale
,
till
you
come
to
the
straightes
of
Maliga
,
a
Southwest
and
Northeast
Moone
.
It
floweth
at
Flushing
:
a
Southweast
and
by
Southe
Moone
.
It
floweth
at
Anwerp
:
an
East
and
west
Moone
.
It
floweth
all
alongest
the
coast
of
Flaunders
,
from
the
Wyldings
to
Calys
:
a
Southe
and
by
East
Moone
:
and
so
runneth
halfe
a
tide
vnder
the
other
.
Nowe
heere
is
one
speciall
thyng
too
bée
noted
,
It
will
now
a
point
of
the
compasse
more
in
the
spring
tides
than
in
the
neap
tides
in
a
Riuer
that
hath
any
distance
vnto
the
Sea
.
and
that
is
thys
:
it
floweth
one
poynte
of
the
compasse
more
in
the
Spring
streames
,
than
it
doothe
in
any
of
the
quarters
of
the
Moone
(
so
that
it
be
a
riuer
where
there
is
any
indrafte
,
hauing
distaunce
from
the
Sea
)
when
there
is
neyther
rage
of
wyndes
nor
anye
cause
eyther
too
hinder
or
further
the
sayde
effect
.
As
for
example
thus
:
it
floweth
at
Grauesend
at
the
chaunge
of
the
Moone
or
full
:
a
Southe
Southwest
Moone
.
But
in
any
of
the
quarters
of
the
Moone
it
skante
floweth
a
Southe
and
by
West
Moone
:
and
this
is
generally
for
euer
.
The
fourth
Chapter
treateth
of
the
Sunne
&
moones
course
in
the
Zodiack
:
and
how
you
shall
know
what
houres
the
Moone
shall
rise
and
set
at
:
and
at
what
poynte
of
the
compasse
:
wyth
other
necessarye
thynges
.
FVrthermore
the
Sunne
(
by
hys
naturall
moouing
thoroughe
the
twelue
Signes
in
the
Zodiack
,
in
the
yeare
)
dothe
cause
the
heigth
and
lowenesse
of
his
declination
:
whiche
is
necessarie
for
the
Seafaring
men
to
knowe
,
in
whiche
declination
they
do
take
from
equinoctiall
to
equinoctiall
:
and
this
is
to
be
noted
,
that
as
the
Sunne
hathe
declination
,
so
in
like
manner
hathe
the
Moone
,
for
by
hir
declination
,
and
the
Sunne
,
is
knowen
the
tyme
of
hir
shyning
or
abiding
aboue
our
horizon
.
To
know
how
long
the
Mone
shineth
.
The
Sunne
or
Moone
in
the
firste
minute
of
Aries
do
rise
East
,
and
set
West
,
and
shyne
.12
.
houres
.
In
the
first
minute
of
Taurus
they
rise
néere
the
Easte
Northeast
,
and
set
néere
the
West
Northwest
,
and
shyne
.14
.
houres
.
In
the
signe
of
Gemini
:
they
rise
neere
the
Northeast
and
by
East
,
and
they
set
néere
the
Northwest
and
by
West
,
and
shyne
.16
.
houres
.
In
the
signe
of
Cancer
the
firste
minute
:
they
make
their
greatest
declination
to
the
Northwards
,
and
they
rise
neer
the
Northeast
,
and
set
neere
the
Northweast
and
shyne
néere
.17
.
houres
.
In
the
fyrste
minute
of
Leo
(
discending
towardes
the
equinoctiall
,
)
as
they
dyd
in
Gemini
.
And
in
the
signe
of
Virgo
,
as
they
dyd
in
Taurus
.
And
in
the
firste
minute
of
Libra
,
equinoctiall
:
beginning
South
declination
,
as
in
Aries
.
And
in
the
fyrste
minute
of
Scorpio
:
they
rise
néere
the
Easte
Southeast
,
and
sette
néere
the
Weast
Southweast
,
and
shyne
.10
.
houres
.
In
the
fyrste
minute
of
Sagittarius
:
they
rise
neere
the
Southeast
and
by
East
,
and
set
néere
the
Southwest
,
and
by
weast
,
and
shyne
.8
.
houres
.
In
the
fyrste
minute
of
Capricornus
,
they
haue
their
greatest
declination
to
the
South
,
and
begin
to
returne
to
the
equinoctiall
,
rising
neere
the
Southeast
and
setting
néere
the
Southwest
,
and
shyne
more
than
.7
.
houres
.
In
the
firste
minute
of
Aquarius
:
as
in
Sagittarius
.
In
the
firste
minuts
of
Pisces
:
as
in
Scorpio
.
Nowe
by
this
rule
you
may
knowe
the
rising
and
setting
of
the
Moone
for
euer
:
as
thus
:
I
haue
shewed
you
before
in
the
shifting
of
the
Sunne
and
Moone
,
that
for
euery
day
of
the
age
of
the
Moone
,
To
knowe
what
houre
or
point
the
Moone
ryseth
or
setteth
.
the
Moone
goeth
Eastward
one
point
&
.3
.
minuts
:
in
.2
.
days
.2
.
points
and
.6
.
minuts
.
&c.
Nowe
when
you
list
to
knowe
the
very
houre
and
time
of
hir
rising
:
Looke
howe
many
dayes
the
Moone
is
olde
,
then
put
so
many
points
,
and
so
many
.3
.
minutes
,
and
looke
what
it
amounteth
vnto
.
Which
for
your
better
vnderstanding
,
I
will
shew
by
example
:
and
first
of
the
Moones
being
South
,
by
euery
day
of
the
age
of
the
Moone
.
The
Moone
being
one
daye
olde
:
is
South
at
.12
.
of
the
clocke
.48
.
minutes
.
To
knowe
what
houre
the
Moone
is
South
for
euery
day
of
the
age
of
the
Moone
.
The
Moone
being
.2
.
dayes
olde
,
is
South
at
one
of
the
clocke
.36
.
minuts
in
the
after
noone
.
Three
days
old
:
South
at
2.
of
the
clock
.24
.
minuts
.4
.
days
olde
,
at
.3
.
of
the
clock
.12
.
minutes
.5
.
days
olde
:
at
.4
.
of
the
clock
iust
.6
.
days
olde
at
.4
.
of
the
clock
48.
minuts
.7
.
days
olde
at
.5
of
the
clock
.36
.
minutes
.
When
the
Moone
is
iust
a
quarter
old
,
she
is
South
at
.6
.
of
the
clock
at
night
.
at
.8
.
dayes
olde
:
the
Moone
is
South
at
.6
.
of
the
clocke
.48
.
minutes
.
at
.9
.
dayes
olde
at
.7
.
of
the
clock
.12
.
minutes
.
at
.10
dayes
olde
:
at
.8
.
of
the
clocke
iust
.
At
.11
.
dayes
olde
at
.8
.
of
the
clock
.48
.
minutes
.
at
.12
.
dayes
olde
at
.9
.
of
the
clocke
.36
.
minutes
,
at
.13
.
dayes
olde
at
.10
.
of
the
clock
.24
.
minutes
.
at
.14
.
dayes
olde
at
.11
.
of
the
clocke
.12
.
minutes
.
at
.15
.
dayes
olde
(
being
the
full
Moone
)
she
is
then
South
at
midnight
.
One
daye
after
the
full
Moone
:
she
is
South
at
.12
.
of
the
clocke
.48
.
minutes
at
midnight
.
Two
dayes
after
the
full
:
at
one
of
the
clocke
.36
.
minutes
.
Three
dayes
after
,
at
.2
of
the
clocke
.24
.
minutes
.
Foure
days
after
,
at
.3
.
of
the
clock
12.
minutes
.
Fiue
dayes
after
at
.4
.
of
the
clocke
,
iust
in
the
morning
.
Sixe
dayes
after
,
at
.4
.
of
the
clock
.48
.
minutes
.7
.
dayes
after
,
at
.5
.
of
the
clocke
.36
.
minutes
.
When
the
Moone
is
thrée
quarters
olds
,
she
is
South
at
.6
.
of
the
clocke
in
the
morning
.
At
.8
.
dayes
after
the
full
(
being
the
firste
daye
after
the
quarter
)
at
.6
.
of
the
clocke
.24
.
minuts
.9
.
days
after
:
at
7.
of
the
clocke
.12
minutes
.10
.
dayes
after
,
at
.8
.
of
the
clocke
iust
.11
.
dayes
after
,
at
.8
.
of
the
clocke
.48
.
minutes
.12
.
dayes
after
,
South
at
.9
.
of
the
clocke
,
36.
minutes
.13
.
dayes
after
,
South
at
.10
.
of
the
clocke
in
the
forenoone
.24
.
minutes
.14
.
dayes
after
,
at
.11
.
of
the
clocke
.12
.
minutes
.
at
.15
.
dayes
after
the
Moone
dothe
chaunge
(
being
then
with
the
Sunne
)
for
the
chaunge
of
the
Moone
is
,
Of
the
chaunge
.
when
the
Moone
and
the
Sunne
be
bothe
vnder
one
like
degree
and
minute
of
any
signe
of
the
Zodiack
.
Of
the
full
Moone
.
The
full
Moone
is
,
when
the
Sunne
and
the
Moone
be
opposite
(
the
one
being
directly
against
the
other
,
and
iust
.6
.
signes
asunder
)
as
you
maye
perceiue
at
the
full
Moone
:
for
then
when
the
Moone
ryseth
,
the
Sunne
setteth
:
and
when
the
sunne
ryseth
,
the
Moone
setteth
.
The
quarters
be
,
Quarter
of
the
Moon
.
Ensample
of
the
moones
rysing
&
setting
.
when
the
Sunne
and
Moone
be
iust
.3
.
signes
asunder
(
that
is
,
iust
.90
.
degrées
.
)
Nowe
when
you
list
to
knowe
the
very
time
of
the
Moones
rysing
or
setting
,
looke
in
your
kalender
what
signe
and
degree
the
Moone
is
in
:
then
according
to
the
rule
of
the
shining
,
deuide
that
into
.2
.
equall
partes
,
then
from
the
South
,
so
shall
you
see
at
what
houre
the
Moone
ryseth
,
as
for
example
this
.
In
March
alwayes
the
Sunne
is
in
Aries
,
then
the
Moone
being
in
hir
first
quarter
,
then
she
is
6.
hours
to
the
Eastward
of
the
Sunne
,
then
the
Moone
must
needs
be
in
Cancer
.
Then
shineth
the
Moone
in
our
Horizon
17.
houres
,
then
the
Moone
is
South
at
.6
.
of
the
clock
,
then
she
shineth
.8
.
houres
and
a
halfe
after
.6
.
of
the
clock
.
So
that
she
setteth
at
.2
.
of
the
clock
and
halfe
an
houre
past
,
then
she
ryseth
in
the
day
.8
.
houres
and
a
half
before
.6
.
of
the
clock
,
that
is
at
.9
.
of
the
clocke
and
halfe
an
houre
past
.
Now
at
the
last
quarter
in
March
,
then
the
Moone
muste
néedes
be
in
Capricornus
,
then
shineth
the
Moone
but
.7
.
houres
,
then
the
moone
is
South
at
.6
.
of
the
clock
in
the
morning
,
then
the
Moone
riseth
.3
.
houres
and
a
halfe
before
,
that
is
,
at
.2
.
of
the
clocke
and
halfe
an
houre
paste
in
the
morning
,
then
she
setteth
by
day
at
.9
.
of
the
clocke
and
halfe
an
houre
paste
,
and
this
rule
will
serue
for
euer
without
any
great
error
.
But
yet
there
is
a
further
matter
for
the
exacte
doing
,
The
Mone
hath
latitude
.
which
is
the
Latitude
of
the
Moone
from
the
heade
or
tayle
of
the
Dragon
,
but
that
is
but
a
trifle
in
respecte
of
muche
error
,
and
therefore
I
will
not
trouble
you
with
that
:
yet
there
is
one
thing
whiche
I
would
Seafaring
men
should
consider
,
although
a
great
numbe
expert
in
that
,
yet
it
is
méete
to
be
spoken
of
,
as
this
.
The
Sunne
being
in
Cancer
or
Moone
in
like
maner
,
You
cannot
know
what
a
clock
it
is
by
the
compasse
,
the
Sun
being
in
the
north
signes
.
or
in
Gemini
,
or
any
time
when
the
Sunne
or
Moone
hath
North
declination
,
they
wil
set
their
compasse
before
them
,
and
when
they
see
the
Sunne
giue
an
Easte
shadowe
,
they
will
saye
that
it
is
.6
.
of
the
clock
,
which
and
if
the
Sunne
be
in
Cancer
,
it
is
not
muche
paste
fiue
of
the
clocke
,
and
the
more
to
the
South
wardes
the
more
they
doe
erre
.
And
in
like
case
,
the
Moone
being
in
Cancer
when
they
doe
sée
the
Moone
giue
an
East
shadowe
by
their
compasse
,
they
will
say
the
Moone
is
Weast
,
but
they
do
not
consider
that
the
Sunne
and
the
Moone
being
in
Cancer
,
Error
of
the
shadow
of
the
Moon●
commeth
so
neare
our
Zenithe
or
Verticall
poynte
right
ouer
our
heade
,
whiche
is
the
verie
heigth
of
their
declination
comming
so
neare
them
,
therfore
they
must
iudge
the
East
or
Weast
from
the
Pole
or
North
starre
if
they
will
iudge
truely
.
Wherefore
I
do
much
commende
the
Equinoctiall
Dyals
for
the
exacte
truth
,
The
Equinoctiall
dyals
be
very
good
.
for
they
can
not
know
the
truth
by
their
compasse
,
so
that
the
Sunne
or
Moone
or
any
other
Starre
haue
any
great
declination
being
in
Cancer
:
and
you
must
consider
this
in
like
manner
.
The
Sunne
hauing
North
declination
,
the
further
you
doe
goe
to
the
North
wardes
,
the
longer
is
youre
daye
,
and
the
shorter
is
your
night
,
and
towardes
the
Southward
,
the
shorter
dayes
and
longer
nightes
.
Nowe
contrarywise
,
the
Sunne
hauing
South
declination
,
the
more
to
the
Northwardes
,
the
shorter
dayes
and
the
longer
nightes
,
the
further
to
the
Southwards
,
the
longer
days
and
shorter
nights
,
As
touching
the
length
and
shortnesse
of
the
day
and
night
.
and
vnder
the
Equinoctiall
,
the
nightes
and
dayes
all
one
what
declination
soeuer
the
Sunne
hath
:
but
this
rule
that
I
haue
giuen
you
is
for
London
,
or
any
other
place
that
hath
that
Latitude
or
eleuation
of
the
Pole
Articke
at
.51
.
or
.52
.
degrées
.
¶
The
fifth
Chapter
or
rule
,
is
of
a
table
of
declination
commonly
called
of
Seafaring
men
,
a
Regiment
of
the
Sunne
,
exactly
calculated
for
.4
.
yeres
,
and
wil
serue
for
.24
.
yeres
,
for
euery
day
of
the
moneth
.
NOw
shall
folowe
a
table
of
declination
or
Regiment
for
4.
yeres
,
being
calculated
for
England
,
and
will
serue
all
Europe
without
much
error
,
or
any
other
countrey
or
place
that
hath
our
Longitude
,
as
the
most
part
of
Affrica
,
as
Ginnie
and
those
partes
to
the
South
wards
,
as
farre
as
the
Antartick
pole
,
seruing
for
euery
day
of
the
moneth
,
very
necessarie
for
them
that
do
vse
to
trauell
either
by
sea
or
by
land
,
and
is
one
of
the
principall
pointes
in
Nauigation
for
long
voyages
,
and
the
cause
why
I
haue
written
this
Regiment
for
the
Sea
,
Euery
person
cannot
calculate
the
Sunnes
declination
.
or
tables
of
declination
,
is
for
that
I
do
knowe
that
euery
person
that
goeth
vnto
the
Sea
as
maister
of
a
shippe
,
hath
not
capacitie
to
calculate
the
Sunnes
declination
by
the
place
of
the
sunne
,
although
they
haue
the
tables
of
declination
,
as
the
Ephemerides
,
or
Martin
Curtyse
,
otherwise
called
the
art
of
Nauigation
.
Wherfore
I
haue
written
these
notes
,
&
Regiment
or
table
of
declination
for
.4
.
yeres
,
and
the
first
row
towards
your
left
hand
,
is
the
dayes
of
the
moneth
:
the
next
rowe
is
the
degrées
of
declination
that
the
Sunne
hath
at
the
instant
time
of
noone
:
and
the
thirde
rowe
is
the
odde
minutes
of
declination
belonging
to
the
degrees
.
Nowe
there
be
two
times
in
the
yere
that
the
Sunne
hath
no
declination
,
Two
times
in
the
yeare
the
Sunne
hath
no
declination
.
1573.
as
this
.
For
the
first
yere
after
Bissextilis
,
(
which
was
in
the
yere
of
our
Lord
.1573
.
the
.11
.
day
of
March
,
at
.4
of
the
clock
in
the
morning
)
the
Sun
was
vpon
the
Equinoctiall
beginning
North
declination
.
And
in
like
maner
the
13.
day
of
September
at
noone
,
the
Sunne
was
vpon
the
Equinoctiall
beginning
South
declination
,
and
also
the
second
yere
after
Bissextilis
,
which
is
the
yere
of
our
Lorde
.1574
.
the
sunne
is
vpon
the
Equinoctiall
the
.11
.
day
of
Marche
,
betwene
10.
and
.11
.
of
the
clocke
before
Noone
,
beginning
North
declination
:
and
in
like
maner
the
.13
.
day
of
September
,
at
.6
.
of
the
clocke
in
the
after
Noone
,
beginning
South
declination
.
Furthermore
in
the
thirde
yere
after
Bissextilis
,
whiche
is
the
yere
of
the
Lorde
.1575
.
the
sunne
is
vpon
the
Equinoctiall
the
11.
day
of
Marche
,
betwéene
foure
and
fiue
of
the
clocke
in
the
after
Noone
,
beginning
North
declination
:
&
so
in
like
maner
the
.13
.
day
of
September
,
at
.12
.
of
the
clocke
at
midnighte
,
beginning
South
declination
.
Lastly
,
in
the
yere
of
our
Lorde
1576.
that
is
the
yere
Bissextilis
it selfe
vpon
the
.10
.
day
of
Marche
the
sunne
shall
be
vpon
the
Equinoctiall
betwéene
10.
and
.11
.
of
the
clocke
at
night
,
beginning
North
declination
:
and
in
like
maner
the
.13
.
day
of
September
at
.6
of
the
clocke
in
the
morning
,
beginning
South
declination
:
Nowe
these
foure
yeres
béeing
expired
,
you
must
after
the
yere
of
Bissextilis
,
beginne
agayne
at
the
yere
one
,
as
héere
dothe
followe
for
example
.
Yeare
1.
|
Yeare
2.
|
Yeare
3.
|
Yeare
Bissextilis
.
|
1573
|
1574
|
1575
|
1576
|
1577
|
1578
|
1579
|
1580
|
1581
|
1582
|
1583
|
1584
|
1585
|
1586
|
1587
|
1588
|
1589
|
1590
|
1591
|
1592
|
1573.
The
first
yeare
.
Ianuarie
.
|
|
Februarie
.
|
|
Marche
.
|
Aprill
.
|
|
May
.
|
|
Iune
.
|
Iuly
.
|
|
August
.
|
|
September
.
|
October
.
|
|
Nouember
.
|
|
December
.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
1
|
21
|
52
|
South
declination
.
|
1
|
14
|
7
|
South
declination
.
Equinoctiall
.
North
declination
.
|
1
|
3
|
49
|
1
|
8
|
13
|
North
declination
.
|
1
|
17
|
49
|
Solstic
.
North
declination
.
|
1
|
23
|
8
|
1
|
22
|
13
|
North
declination
.
|
1
|
15
|
23
|
North
declination
.
Equinoctiall
.
South
declination
.
|
1
|
4
|
39
|
1
|
6
|
59
|
South
declination
.
|
1
|
17
|
26
|
South
declination
.
Solstic
.
|
1
|
23
|
3
|
2
|
21
|
43
|
2
|
13
|
47
|
2
|
3
|
26
|
2
|
8
|
35
|
2
|
18
|
5
|
2
|
23
|
12
|
2
|
22
|
5
|
2
|
15
|
5
|
2
|
4
|
16
|
2
|
7
|
22
|
2
|
17
|
43
|
2
|
23
|
8
|
3
|
21
|
33
|
3
|
13
|
26
|
3
|
3
|
2
|
3
|
8
|
57
|
3
|
18
|
20
|
3
|
23
|
15
|
3
|
21
|
56
|
3
|
14
|
48
|
3
|
3
|
53
|
3
|
7
|
44
|
3
|
17
|
59
|
3
|
23
|
12
|
4
|
21
|
23
|
4
|
13
|
6
|
4
|
2
|
38
|
4
|
9
|
19
|
4
|
18
|
35
|
4
|
23
|
18
|
4
|
21
|
47
|
4
|
14
|
30
|
4
|
3
|
31
|
4
|
8
|
6
|
4
|
18
|
15
|
4
|
23
|
15
|
5
|
21
|
12
|
5
|
12
|
46
|
5
|
2
|
14
|
5
|
9
|
41
|
5
|
18
|
49
|
5
|
23
|
22
|
5
|
21
|
36
|
5
|
14
|
11
|
5
|
3
|
7
|
5
|
8
|
39
|
5
|
18
|
31
|
5
|
23
|
19
|
6
|
21
|
1
|
6
|
12
|
26
|
6
|
1
|
51
|
6
|
10
|
2
|
6
|
19
|
4
|
6
|
23
|
24
|
6
|
21
|
27
|
6
|
13
|
51
|
6
|
2
|
44
|
6
|
8
|
51
|
6
|
18
|
46
|
6
|
23
|
22
|
7
|
20
|
49
|
7
|
12
|
5
|
7
|
1
|
27
|
7
|
10
|
23
|
7
|
19
|
17
|
7
|
23
|
20
|
7
|
21
|
19
|
7
|
13
|
33
|
7
|
2
|
20
|
7
|
9
|
13
|
7
|
19
|
1
|
7
|
23
|
24
|
8
|
20
|
37
|
8
|
11
|
44
|
8
|
1
|
3
|
8
|
10
|
44
|
8
|
19
|
31
|
8
|
23
|
27
|
8
|
21
|
8
|
8
|
13
|
13
|
8
|
1
|
58
|
8
|
9
|
34
|
8
|
19
|
16
|
8
|
23
|
25
|
9
|
20
|
25
|
9
|
11
|
22
|
9
|
0
|
39
|
9
|
11
|
6
|
9
|
19
|
44
|
9
|
23
|
27
|
9
|
20
|
57
|
9
|
12
|
54
|
9
|
1
|
34
|
9
|
9
|
56
|
9
|
19
|
30
|
9
|
23
|
26
|
10
|
20
|
12
|
10
|
11
|
1
|
10
|
0
|
16
|
10
|
11
|
25
|
10
|
19
|
57
|
10
|
23
|
28
|
10
|
20
|
47
|
10
|
12
|
34
|
10
|
1
|
10
|
10
|
10
|
18
|
10
|
19
|
44
|
10
|
23
|
27
|
11
|
19
|
59
|
11
|
10
|
39
|
11
|
0
|
8
|
11
|
11
|
45
|
11
|
20
|
8
|
11
|
23
|
28
|
11
|
20
|
35
|
11
|
12
|
14
|
11
|
0
|
48
|
11
|
10
|
40
|
11
|
19
|
58
|
11
|
23
|
28
|
12
|
19
|
46
|
12
|
10
|
18
|
12
|
0
|
32
|
12
|
12
|
9
|
12
|
20
|
21
|
12
|
23
|
28
|
12
|
20
|
24
|
12
|
11
|
53
|
12
|
0
|
24
|
12
|
11
|
1
|
12
|
20
|
10
|
12
|
23
|
28
|
13
|
19
|
32
|
13
|
9
|
56
|
13
|
0
|
55
|
13
|
12
|
26
|
13
|
20
|
33
|
13
|
23
|
28
|
13
|
20
|
12
|
13
|
11
|
33
|
13
|
0
|
0
|
13
|
11
|
23
|
13
|
20
|
22
|
13
|
23
|
28
|
14
|
19
|
17
|
14
|
9
|
33
|
14
|
1
|
19
|
14
|
12
|
47
|
14
|
20
|
45
|
14
|
23
|
27
|
14
|
19
|
59
|
14
|
11
|
14
|
14
|
0
|
24
|
14
|
11
|
44
|
14
|
20
|
36
|
14
|
23
|
27
|
15
|
19
|
3
|
15
|
9
|
11
|
15
|
1
|
42
|
15
|
13
|
6
|
15
|
20
|
56
|
15
|
23
|
26
|
15
|
19
|
46
|
15
|
10
|
54
|
15
|
0
|
47
|
15
|
12
|
5
|
15
|
20
|
48
|
15
|
23
|
26
|
16
|
18
|
47
|
16
|
8
|
49
|
16
|
2
|
6
|
16
|
13
|
26
|
16
|
21
|
6
|
16
|
23
|
25
|
16
|
19
|
33
|
16
|
10
|
32
|
16
|
1
|
11
|
16
|
12
|
26
|
16
|
20
|
59
|
16
|
23
|
25
|
17
|
18
|
32
|
17
|
8
|
26
|
17
|
2
|
29
|
17
|
13
|
45
|
17
|
21
|
17
|
17
|
23
|
24
|
17
|
19
|
19
|
17
|
10
|
12
|
17
|
1
|
34
|
17
|
12
|
44
|
17
|
21
|
10
|
17
|
23
|
24
|
18
|
18
|
17
|
18
|
8
|
4
|
18
|
2
|
53
|
18
|
14
|
4
|
18
|
21
|
27
|
18
|
23
|
22
|
18
|
19
|
5
|
18
|
9
|
50
|
18
|
1
|
58
|
18
|
13
|
7
|
18
|
21
|
21
|
18
|
23
|
21
|
19
|
18
|
1
|
19
|
7
|
41
|
19
|
3
|
17
|
19
|
14
|
23
|
19
|
21
|
37
|
19
|
23
|
19
|
19
|
18
|
56
|
19
|
9
|
28
|
19
|
2
|
21
|
19
|
13
|
27
|
19
|
21
|
33
|
19
|
23
|
18
|
20
|
17
|
45
|
20
|
7
|
19
|
20
|
3
|
40
|
20
|
14
|
41
|
20
|
21
|
46
|
20
|
23
|
15
|
20
|
18
|
37
|
20
|
9
|
7
|
20
|
2
|
44
|
20
|
13
|
47
|
20
|
21
|
41
|
20
|
23
|
14
|
21
|
17
|
28
|
21
|
6
|
56
|
21
|
4
|
3
|
21
|
15
|
0
|
21
|
21
|
55
|
21
|
23
|
12
|
21
|
18
|
22
|
21
|
8
|
46
|
21
|
3
|
8
|
21
|
14
|
7
|
21
|
21
|
51
|
21
|
23
|
11
|
22
|
17
|
11
|
22
|
6
|
33
|
22
|
4
|
26
|
22
|
15
|
18
|
22
|
22
|
3●
|
22
|
23
|
8
|
22
|
18
|
9
|
22
|
8
|
24
|
22
|
3
|
32
|
22
|
14
|
26
|
22
|
21
|
59
|
22
|
23
|
6
|
23
|
16
|
54
|
23
|
6
|
10
|
23
|
4
|
49
|
23
|
15
|
35
|
23
|
22
|
12
|
23
|
23
|
3
|
23
|
17
|
53
|
23
|
8
|
2
|
23
|
3
|
55
|
23
|
14
|
45
|
23
|
22
|
8
|
23
|
23
|
1
|
24
|
16
|
37
|
24
|
5
|
46
|
24
|
5
|
12
|
24
|
15
|
53
|
24
|
22
|
19
|
24
|
22
|
59
|
24
|
17
|
37
|
24
|
7
|
39
|
24
|
4
|
18
|
24
|
15
|
4
|
24
|
22
|
17
|
24
|
22
|
●5
|
25
|
16
|
19
|
25
|
5
|
23
|
25
|
5
|
35
|
25
|
16
|
11
|
25
|
22
|
27
|
25
|
22
|
54
|
25
|
17
|
22
|
25
|
7
|
18
|
25
|
4
|
41
|
25
|
15
|
23
|
25
|
22
|
25
|
25
|
22
|
50
|
26
|
16
|
1
|
26
|
5
|
0
|
26
|
5
|
58
|
26
|
16
|
29
|
26
|
22
|
33
|
26
|
22
|
48
|
26
|
17
|
5
|
26
|
6
|
55
|
26
|
5
|
3
|
26
|
15
|
41
|
26
|
22
|
32
|
26
|
22
|
43
|
27
|
15
|
4●
|
27
|
4
|
36
|
27
|
6
|
21
|
27
|
16
|
45
|
27
|
22
|
40
|
27
|
22
|
42
|
27
|
16
|
49
|
27
|
6
|
33
|
27
|
5
|
27
|
27
|
16
|
0
|
27
|
22
|
39
|
27
|
22
|
36
|
28
|
15
|
23
|
28
|
4
|
13
|
28
|
6
|
44
|
28
|
17
|
2
|
28
|
22
|
47
|
28
|
22
|
35
|
28
|
16
|
22
|
28
|
6
|
11
|
28
|
5
|
50
|
28
|
16
|
17
|
28
|
22
|
46
|
28
|
22
|
28
|
29
|
15
|
5
|
|
|
|
29
|
7
|
6
|
29
|
17
|
18
|
29
|
22
|
52
|
29
|
22
|
29
|
29
|
16
|
7
|
29
|
5
|
47
|
29
|
6
|
13
|
29
|
16
|
35
|
29
|
22
|
52
|
29
|
22
|
2
|
30
|
14
|
46
|
|
|
|
30
|
7
|
28
|
30
|
17
|
34
|
30
|
22
|
57
|
30
|
22
|
2●
|
30
|
15
|
59
|
30
|
●5
|
25
|
30
|
6
|
36
|
30
|
16
|
52
|
30
|
22
|
57
|
30
|
22
|
13
|
31
|
14
|
26
|
|
|
|
31
|
7
|
50
|
|
|
|
31
|
23
|
3
|
|
|
|
31
|
15
|
41
|
31
|
5
|
2
|
|
|
|
31
|
17
|
9
|
|
|
|
31
|
22
|
4
|
1574.
The
seconde
yeare
.
Ianuary
.
|
|
February
.
|
|
March.
|
Apryll
.
|
|
May
.
|
|
Iune
.
|
Iuly
.
|
|
August
.
|
|
September
.
|
October
.
|
|
Nouember
.
|
|
December
.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
1
|
21
|
56
|
South
declination
.
|
1
|
14
|
12
|
South
declination
.
Equinoctiall
.
North
declination
.
|
1
|
3
|
55
|
1
|
8
|
9
|
North
declination
.
|
1
|
17
|
46
|
North
declination
.
Solstic
.
|
1
|
23
|
6
|
1
|
22
|
14
|
North
declination
.
|
1
|
15
|
28
|
North
declination
.
Equinoctiall
.
South
declination
.
|
1
|
4
|
45
|
1
|
6
|
53
|
South
declination
.
|
1
|
17
|
22
|
Solstic
.
South
declination
.
|
1
|
23
|
2
|
2
|
21
|
46
|
2
|
13
|
52
|
2
|
3
|
32
|
2
|
8
|
30
|
2
|
18
|
1
|
2
|
23
|
11
|
2
|
22
|
6
|
2
|
15
|
10
|
2
|
4
|
22
|
2
|
7
|
16
|
2
|
17
|
39
|
2
|
23
|
7
|
3
|
21
|
36
|
3
|
13
|
32
|
3
|
3
|
8
|
3
|
8
|
51
|
3
|
18
|
17
|
3
|
23
|
14
|
3
|
21
|
58
|
3
|
14
|
51
|
3
|
3
|
58
|
3
|
7
|
39
|
3
|
17
|
55
|
3
|
23
|
12
|
4
|
21
|
26
|
4
|
13
|
11
|
4
|
2
|
44
|
4
|
9
|
14
|
4
|
18
|
32
|
4
|
23
|
17
|
4
|
24
|
49
|
4
|
14
|
33
|
4
|
3
|
36
|
4
|
8
|
0
|
4
|
18
|
11
|
4
|
23
|
15
|
5
|
21
|
15
|
5
|
12
|
51
|
5
|
2
|
20
|
5
|
9
|
35
|
5
|
18
|
46
|
5
|
23
|
20
|
5
|
21
|
40
|
5
|
14
|
16
|
5
|
3
|
13
|
5
|
8
|
23
|
5
|
18
|
27
|
5
|
23
|
18
|
6
|
21
|
4
|
6
|
12
|
31
|
6
|
1
|
57
|
6
|
9
|
56
|
6
|
19
|
1
|
6
|
23
|
23
|
6
|
21
|
31
|
6
|
13
|
58
|
6
|
2
|
49
|
6
|
8
|
45
|
6
|
18
|
42
|
6
|
23
|
22
|
7
|
20
|
52
|
7
|
12
|
10
|
7
|
1
|
34
|
7
|
10
|
18
|
7
|
19
|
14
|
7
|
23
|
25
|
7
|
21
|
21
|
7
|
13
|
38
|
7
|
2
|
26
|
7
|
9
|
8
|
7
|
18
|
57
|
7
|
23
|
25
|
8
|
20
|
41
|
8
|
11
|
49
|
8
|
1
|
10
|
8
|
10
|
39
|
8
|
19
|
28
|
8
|
23
|
26
|
8
|
21
|
11
|
8
|
13
|
18
|
8
|
2
|
4
|
8
|
9
|
30
|
8
|
19
|
11
|
8
|
23
|
26
|
9
|
20
|
28
|
9
|
11
|
27
|
9
|
0
|
46
|
9
|
10
|
59
|
9
|
19
|
41
|
9
|
23
|
27
|
9
|
21
|
0
|
9
|
12
|
58
|
9
|
1
|
42
|
9
|
9
|
52
|
9
|
19
|
25
|
9
|
23
|
26
|
10
|
20
|
16
|
10
|
11
|
6
|
10
|
0
|
22
|
10
|
11
|
20
|
10
|
19
|
54
|
10
|
23
|
27
|
10
|
20
|
49
|
10
|
12
|
39
|
10
|
1
|
18
|
10
|
10
|
13
|
10
|
19
|
39
|
10
|
23
|
27
|
11
|
20
|
3
|
11
|
10
|
44
|
11
|
0
|
2
|
11
|
11
|
41
|
11
|
20
|
6
|
11
|
23
|
28
|
11
|
20
|
38
|
11
|
12
|
19
|
11
|
0
|
56
|
11
|
10
|
35
|
11
|
19
|
53
|
11
|
23
|
28
|
12
|
19
|
49
|
12
|
10
|
23
|
12
|
0
|
25
|
12
|
12
|
1
|
12
|
20
|
18
|
12
|
23
|
28
|
12
|
20
|
26
|
12
|
11
|
59
|
12
|
0
|
32
|
12
|
10
|
56
|
12
|
20
|
6
|
12
|
23
|
28
|
13
|
19
|
36
|
13
|
10
|
1
|
13
|
0
|
49
|
13
|
12
|
21
|
13
|
20
|
30
|
13
|
23
|
28
|
13
|
20
|
13
|
13
|
11
|
39
|
13
|
0
|
7
|
13
|
11
|
18
|
13
|
20
|
19
|
13
|
23
|
28
|
14
|
19
|
21
|
14
|
9
|
39
|
14
|
1
|
13
|
14
|
12
|
41
|
14
|
20
|
41
|
14
|
23
|
27
|
14
|
20
|
2
|
14
|
11
|
19
|
14
|
0
|
17
|
14
|
11
|
39
|
14
|
20
|
32
|
14
|
23
|
27
|
15
|
19
|
7
|
15
|
9
|
17
|
15
|
1
|
36
|
15
|
13
|
1
|
15
|
20
|
53
|
15
|
23
|
26
|
15
|
19
|
55
|
15
|
10
|
58
|
15
|
0
|
41
|
15
|
12
|
0
|
15
|
20
|
44
|
15
|
23
|
26
|
16
|
18
|
52
|
16
|
8
|
55
|
16
|
2
|
0
|
16
|
13
|
21
|
16
|
21
|
3
|
16
|
23
|
25
|
16
|
19
|
37
|
16
|
10
|
36
|
16
|
1
|
3
|
16
|
12
|
21
|
16
|
20
|
56
|
16
|
23
|
25
|
17
|
18
|
37
|
17
|
8
|
32
|
17
|
2
|
23
|
17
|
13
|
40
|
17
|
21
|
14
|
17
|
23
|
24
|
17
|
19
|
23
|
17
|
10
|
16
|
17
|
1
|
27
|
17
|
12
|
42
|
17
|
21
|
6
|
17
|
23
|
24
|
18
|
18
|
17
|
18
|
8
|
10
|
18
|
2
|
47
|
18
|
14
|
0
|
18
|
21
|
25
|
18
|
23
|
22
|
18
|
19
|
9
|
18
|
9
|
54
|
18
|
1
|
51
|
18
|
13
|
2
|
18
|
21
|
17
|
18
|
23
|
22
|
19
|
18
|
1
|
19
|
7
|
47
|
19
|
3
|
11
|
19
|
14
|
18
|
19
|
21
|
34
|
19
|
23
|
20
|
19
|
18
|
55
|
19
|
9
|
34
|
19
|
2
|
15
|
19
|
13
|
22
|
19
|
21
|
28
|
19
|
23
|
19
|
20
|
17
|
49
|
20
|
7
|
25
|
20
|
3
|
34
|
20
|
14
|
37
|
20
|
21
|
43
|
20
|
23
|
16
|
20
|
18
|
42
|
20
|
9
|
12
|
20
|
2
|
38
|
20
|
13
|
42
|
20
|
21
|
38
|
20
|
23
|
15
|
21
|
17
|
32
|
21
|
7
|
2
|
21
|
3
|
56
|
21
|
14
|
55
|
21
|
21
|
52
|
21
|
23
|
12
|
21
|
18
|
26
|
21
|
8
|
50
|
21
|
5
|
1
|
21
|
14
|
2
|
21
|
21
|
48
|
21
|
23
|
12
|
22
|
17
|
15
|
22
|
6
|
39
|
22
|
4
|
20
|
22
|
15
|
13
|
22
|
22
|
1
|
22
|
23
|
9
|
22
|
18
|
12
|
22
|
8
|
28
|
22
|
3
|
24
|
22
|
14
|
22
|
22
|
21
|
57
|
22
|
23
|
8
|
23
|
16
|
57
|
23
|
6
|
16
|
23
|
4
|
43
|
23
|
15
|
30
|
23
|
22
|
9
|
23
|
23
|
5
|
23
|
17
|
56
|
23
|
8
|
7
|
23
|
3
|
48
|
23
|
14
|
41
|
23
|
22
|
6
|
23
|
23
|
2
|
24
|
16
|
40
|
24
|
5
|
52
|
24
|
5
|
7
|
24
|
15
|
48
|
24
|
22
|
17
|
24
|
23
|
0
|
24
|
17
|
41
|
24
|
7
|
45
|
24
|
4
|
11
|
24
|
15
|
0
|
24
|
22
|
15
|
24
|
22
|
56
|
25
|
16
|
23
|
25
|
5
|
29
|
25
|
5
|
29
|
25
|
16
|
6
|
25
|
22
|
25
|
25
|
22
|
54
|
25
|
17
|
25
|
25
|
7
|
24
|
25
|
4
|
34
|
25
|
15
|
19
|
25
|
22
|
23
|
25
|
22
|
51
|
26
|
16
|
5
|
26
|
5
|
6
|
26
|
5
|
52
|
26
|
16
|
23
|
26
|
22
|
31
|
26
|
22
|
49
|
26
|
17
|
9
|
26
|
7
|
2
|
26
|
4
|
57
|
26
|
15
|
37
|
26
|
22
|
31
|
26
|
22
|
45
|
27
|
15
|
47
|
27
|
4
|
42
|
27
|
6
|
16
|
27
|
16
|
40
|
27
|
22
|
38
|
27
|
22
|
43
|
27
|
16
|
52
|
27
|
6
|
39
|
27
|
5
|
20
|
27
|
15
|
56
|
27
|
22
|
37
|
27
|
22
|
37
|
28
|
15
|
28
|
28
|
4
|
19
|
28
|
6
|
38
|
28
|
16
|
57
|
28
|
22
|
45
|
28
|
22
|
36
|
28
|
16
|
36
|
28
|
6
|
16
|
28
|
5
|
44
|
28
|
16
|
14
|
28
|
22
|
44
|
28
|
22
|
30
|
29
|
15
|
10
|
|
|
|
29
|
7
|
1
|
29
|
17
|
13
|
29
|
22
|
52
|
29
|
22
|
29
|
29
|
16
|
20
|
29
|
5
|
53
|
29
|
6
|
7
|
29
|
16
|
31
|
29
|
22
|
51
|
29
|
22
|
23
|
30
|
14
|
51
|
|
|
|
30
|
7
|
23
|
30
|
17
|
30
|
30
|
22
|
58
|
30
|
22
|
22
|
30
|
16
|
2
|
30
|
5
|
31
|
30
|
6
|
30
|
30
|
16
|
48
|
30
|
22
|
57
|
30
|
22
|
15
|
31
|
14
|
31
|
|
|
|
31
|
7
|
46
|
|
|
|
31
|
23
|
1
|
|
|
|
31
|
15
|
45
|
31
|
5
|
8
|
|
|
|
31
|
17
|
5
|
|
|
|
31
|
22
|
7
|
1575.
The
thirde
yeare
.
Ianuarie
.
|
|
Februarie
.
|
|
Marche
.
|
April
.
|
|
May
.
|
|
Iune
.
|
Iuly
.
|
|
August
.
|
|
September
.
|
October
.
|
|
Nouember
.
|
|
December
.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
1
|
21
|
57
|
South
declination
.
|
1
|
14
|
17
|
South
declination
.
Equinoctiall
.
North
declination
.
|
1
|
4
|
2
|
1
|
8
|
1
|
North
declination
.
|
1
|
17
|
43
|
Solstic
.
North
declination
.
|
1
|
23
|
5
|
1
|
22
|
16
|
North
declination
.
|
1
|
15
|
30
|
North
declination
.
Equinoctiall
.
South
declination
.
|
1
|
4
|
54
|
1
|
6
|
48
|
South
declination
.
|
1
|
17
|
16
|
Solstic
.
South
declination
.
|
1
|
23
|
0
|
2
|
21
|
48
|
2
|
13
|
57
|
2
|
3
|
38
|
2
|
8
|
24
|
2
|
17
|
59
|
2
|
23
|
10
|
2
|
22
|
9
|
2
|
15
|
13
|
2
|
4
|
28
|
2
|
7
|
10
|
2
|
17
|
33
|
2
|
23
|
6
|
3
|
21
|
38
|
3
|
13
|
37
|
3
|
3
|
15
|
3
|
8
|
46
|
3
|
18
|
14
|
3
|
23
|
13
|
3
|
22
|
0
|
3
|
14
|
56
|
3
|
4
|
5
|
3
|
7
|
34
|
3
|
17
|
49
|
3
|
23
|
11
|
4
|
21
|
28
|
4
|
13
|
15
|
4
|
2
|
51
|
4
|
9
|
8
|
4
|
18
|
28
|
4
|
23
|
16
|
4
|
21
|
51
|
4
|
14
|
49
|
4
|
3
|
41
|
4
|
7
|
55
|
4
|
18
|
5
|
4
|
23
|
15
|
5
|
21
|
18
|
5
|
12
|
56
|
5
|
2
|
27
|
5
|
9
|
30
|
5
|
18
|
42
|
5
|
23
|
20
|
5
|
21
|
43
|
5
|
14
|
20
|
5
|
3
|
18
|
5
|
8
|
18
|
5
|
18
|
22
|
5
|
23
|
18
|
6
|
21
|
6
|
6
|
12
|
35
|
6
|
2
|
3
|
6
|
9
|
52
|
6
|
18
|
57
|
6
|
23
|
23
|
6
|
21
|
33
|
6
|
14
|
1
|
6
|
2
|
55
|
6
|
8
|
40
|
6
|
18
|
37
|
6
|
23
|
21
|
7
|
20
|
55
|
7
|
12
|
15
|
7
|
1
|
40
|
7
|
10
|
12
|
7
|
19
|
11
|
7
|
23
|
24
|
7
|
21
|
23
|
7
|
13
|
42
|
7
|
2
|
31
|
7
|
9
|
3
|
7
|
18
|
52
|
7
|
23
|
24
|
8
|
20
|
44
|
8
|
11
|
54
|
8
|
1
|
16
|
8
|
10
|
34
|
8
|
19
|
24
|
8
|
23
|
25
|
8
|
21
|
12
|
8
|
13
|
22
|
8
|
2
|
8
|
8
|
9
|
25
|
8
|
19
|
7
|
8
|
23
|
26
|
9
|
20
|
31
|
9
|
11
|
33
|
9
|
0
|
52
|
9
|
10
|
57
|
9
|
19
|
38
|
9
|
23
|
26
|
9
|
21
|
2
|
9
|
13
|
3
|
9
|
1
|
47
|
9
|
9
|
46
|
9
|
19
|
21
|
9
|
23
|
27
|
10
|
20
|
19
|
10
|
11
|
12
|
10
|
0
|
28
|
10
|
11
|
16
|
10
|
19
|
51
|
10
|
23
|
27
|
10
|
20
|
52
|
10
|
12
|
43
|
10
|
1
|
23
|
10
|
10
|
8
|
10
|
19
|
35
|
10
|
23
|
27
|
11
|
20
|
5
|
11
|
10
|
51
|
11
|
0
|
4
|
11
|
11
|
36
|
11
|
20
|
3
|
11
|
23
|
28
|
11
|
20
|
42
|
11
|
12
|
23
|
11
|
0
|
59
|
11
|
10
|
30
|
11
|
19
|
49
|
11
|
23
|
28
|
12
|
19
|
52
|
12
|
10
|
29
|
12
|
0
|
20
|
12
|
11
|
50
|
12
|
20
|
15
|
12
|
23
|
28
|
12
|
20
|
30
|
12
|
12
|
2
|
12
|
0
|
36
|
12
|
10
|
53
|
12
|
20
|
2
|
12
|
23
|
28
|
13
|
19
|
39
|
13
|
10
|
7
|
13
|
0
|
44
|
●3
|
12
|
17
|
13
|
20
|
28
|
13
|
23
|
28
|
13
|
20
|
18
|
13
|
11
|
42
|
13
|
0
|
12
|
13
|
11
|
13
|
13
|
20
|
15
|
13
|
23
|
28
|
14
|
19
|
24
|
14
|
9
|
45
|
14
|
1
|
8
|
14
|
12
|
37
|
14
|
20
|
39
|
14
|
23
|
27
|
14
|
20
|
6
|
14
|
11
|
23
|
14
|
0
|
12
|
14
|
11
|
33
|
14
|
20
|
28
|
14
|
23
|
27
|
15
|
19
|
10
|
15
|
9
|
22
|
15
|
1
|
32
|
15
|
12
|
57
|
15
|
20
|
51
|
15
|
23
|
26
|
15
|
19
|
57
|
15
|
11
|
2
|
15
|
0
|
36
|
15
|
11
|
54
|
15
|
20
|
40
|
15
|
23
|
27
|
16
|
18
|
56
|
16
|
9
|
0
|
16
|
1
|
55
|
16
|
13
|
16
|
16
|
21
|
1
|
16
|
23
|
25
|
16
|
19
|
40
|
16
|
10
|
41
|
16
|
0
|
59
|
16
|
12
|
15
|
16
|
20
|
53
|
16
|
23
|
26
|
17
|
18
|
40
|
17
|
8
|
38
|
17
|
2
|
18
|
17
|
13
|
35
|
17
|
21
|
12
|
17
|
23
|
24
|
17
|
19
|
26
|
17
|
10
|
20
|
17
|
1
|
23
|
17
|
12
|
34
|
17
|
21
|
4
|
17
|
23
|
25
|
18
|
18
|
24
|
18
|
8
|
15
|
18
|
2
|
41
|
18
|
13
|
54
|
18
|
21
|
22
|
18
|
23
|
22
|
18
|
19
|
13
|
18
|
9
|
58
|
18
|
1
|
47
|
18
|
12
|
56
|
18
|
21
|
15
|
18
|
23
|
23
|
19
|
18
|
9
|
19
|
7
|
53
|
19
|
3
|
5
|
19
|
14
|
14
|
19
|
21
|
32
|
19
|
23
|
20
|
19
|
19
|
0
|
19
|
9
|
38
|
19
|
2
|
10
|
19
|
13
|
16
|
19
|
21
|
26
|
19
|
23
|
21
|
20
|
17
|
53
|
20
|
7
|
30
|
20
|
3
|
29
|
20
|
14
|
32
|
20
|
21
|
42
|
20
|
23
|
17
|
20
|
18
|
45
|
20
|
9
|
17
|
20
|
2
|
33
|
20
|
13
|
36
|
20
|
21
|
36
|
20
|
23
|
16
|
21
|
17
|
36
|
21
|
7
|
8
|
21
|
3
|
52
|
21
|
14
|
51
|
21
|
21
|
51
|
21
|
23
|
13
|
21
|
18
|
30
|
21
|
8
|
56
|
21
|
2
|
56
|
21
|
13
|
56
|
21
|
21
|
45
|
21
|
23
|
12
|
22
|
17
|
20
|
22
|
6
|
45
|
22
|
4
|
14
|
22
|
15
|
10
|
22
|
22
|
0
|
22
|
23
|
10
|
22
|
18
|
15
|
22
|
8
|
33
|
22
|
3
|
20
|
22
|
14
|
16
|
22
|
21
|
54
|
22
|
23
|
8
|
23
|
17
|
2
|
23
|
6
|
22
|
23
|
4
|
38
|
23
|
15
|
27
|
23
|
22
|
8
|
23
|
23
|
6
|
23
|
18
|
0
|
23
|
8
|
12
|
23
|
3
|
43
|
23
|
14
|
35
|
23
|
22
|
3
|
23
|
23
|
3
|
24
|
16
|
45
|
24
|
5
|
59
|
24
|
5
|
1
|
24
|
15
|
46
|
24
|
22
|
16
|
24
|
23
|
1
|
24
|
17
|
45
|
24
|
7
|
50
|
24
|
4
|
6
|
24
|
14
|
57
|
24
|
22
|
12
|
24
|
22
|
57
|
25
|
16
|
27
|
25
|
5
|
35
|
25
|
5
|
24
|
25
|
16
|
4
|
25
|
22
|
24
|
25
|
22
|
55
|
25
|
17
|
29
|
25
|
7
|
28
|
25
|
4
|
30
|
25
|
15
|
12
|
25
|
22
|
20
|
25
|
22
|
52
|
26
|
16
|
10
|
26
|
5
|
12
|
26
|
5
|
47
|
26
|
16
|
22
|
26
|
22
|
30
|
26
|
22
|
50
|
26
|
17
|
14
|
26
|
7
|
5
|
26
|
4
|
52
|
26
|
15
|
30
|
26
|
22
|
28
|
26
|
22
|
46
|
27
|
15
|
51
|
27
|
4
|
49
|
27
|
6
|
10
|
27
|
16
|
38
|
27
|
22
|
37
|
27
|
22
|
44
|
27
|
16
|
57
|
27
|
6
|
43
|
27
|
5
|
16
|
27
|
15
|
49
|
27
|
22
|
35
|
27
|
22
|
39
|
28
|
15
|
33
|
28
|
4
|
25
|
28
|
6
|
33
|
28
|
16
|
54
|
28
|
22
|
43
|
28
|
22
|
37
|
28
|
16
|
40
|
28
|
6
|
20
|
28
|
5
|
39
|
28
|
16
|
7
|
28
|
22
|
42
|
28
|
22
|
32
|
29
|
15
|
13
|
|
|
|
29
|
6
|
56
|
29
|
17
|
10
|
29
|
22
|
50
|
29
|
22
|
31
|
29
|
16
|
24
|
29
|
5
|
58
|
29
|
6
|
2
|
29
|
16
|
25
|
29
|
22
|
49
|
29
|
22
|
25
|
30
|
14
|
55
|
|
|
|
30
|
7
|
19
|
30
|
17
|
27
|
30
|
22
|
55
|
30
|
22
|
24
|
30
|
16
|
6
|
30
|
5
|
●5
|
30
|
6
|
25
|
30
|
16
|
42
|
30
|
22
|
55
|
30
|
22
|
17
|
31
|
14
|
35
|
|
|
|
31
|
7
|
40
|
|
|
|
31
|
23
|
0
|
|
|
|
31
|
15
|
49
|
31
|
5
|
14
|
|
|
|
31
|
16
|
59
|
|
|
|
31
|
22
|
8
|
1576.
The
yeare
of
Bissextilis
.
Ianuary
.
|
|
February
.
|
|
March.
|
Apryll
.
|
|
May
.
|
|
Iune
.
|
Iuly
.
|
|
August
.
|
|
September
.
|
October
.
|
|
Nouember
.
|
|
December
.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
|
D.
|
G.
|
M.
|
1
|
21
|
59
|
South
declination
.
|
1
|
14
|
21
|
South
declination
.
Equinoctiall
.
North
declination
.
|
1
|
3
|
44
|
1
|
8
|
20
|
North
declination
.
|
1
|
17
|
54
|
North
declination
.
Solstic
.
|
1
|
23
|
8
|
1
|
22
|
10
|
North
declination
.
|
1
|
15
|
17
|
North
declination
.
Equinoctiall
.
South
declination
.
|
1
|
4
|
33
|
1
|
7
|
5
|
South
declination
.
|
1
|
17
|
31
|
Solstic
.
South
declination
.
|
1
|
23
|
5
|
2
|
21
|
50
|
2
|
14
|
2
|
2
|
3
|
21
|
2
|
8
|
41
|
2
|
18
|
9
|
2
|
23
|
12
|
2
|
22
|
2
|
2
|
15
|
0
|
2
|
4
|
10
|
2
|
7
|
27
|
2
|
17
|
47
|
2
|
23
|
10
|
3
|
21
|
41
|
3
|
13
|
42
|
3
|
2
|
57
|
3
|
9
|
3
|
3
|
18
|
24
|
3
|
23
|
15
|
3
|
21
|
53
|
3
|
14
|
42
|
3
|
3
|
47
|
3
|
7
|
49
|
3
|
18
|
3
|
3
|
23
|
13
|
4
|
21
|
31
|
4
|
13
|
22
|
4
|
2
|
33
|
4
|
9
|
25
|
4
|
18
|
38
|
4
|
23
|
19
|
4
|
21
|
45
|
4
|
14
|
23
|
4
|
3
|
24
|
4
|
8
|
12
|
4
|
18
|
19
|
4
|
23
|
16
|
5
|
21
|
20
|
5
|
13
|
2
|
5
|
2
|
9
|
5
|
9
|
46
|
5
|
18
|
53
|
5
|
23
|
22
|
5
|
21
|
36
|
5
|
14
|
5
|
5
|
3
|
0
|
5
|
8
|
34
|
5
|
18
|
34
|
5
|
23
|
20
|
6
|
21
|
9
|
6
|
12
|
41
|
6
|
1
|
46
|
6
|
10
|
8
|
6
|
19
|
7
|
6
|
23
|
24
|
6
|
21
|
26
|
6
|
13
|
46
|
6
|
2
|
37
|
6
|
8
|
56
|
6
|
18
|
49
|
6
|
23
|
23
|
7
|
20
|
58
|
7
|
12
|
21
|
7
|
1
|
22
|
7
|
10
|
29
|
7
|
19
|
21
|
7
|
23
|
25
|
7
|
21
|
16
|
7
|
13
|
26
|
7
|
2
|
13
|
7
|
9
|
18
|
7
|
19
|
4
|
7
|
23
|
25
|
8
|
20
|
47
|
8
|
12
|
0
|
8
|
0
|
58
|
8
|
10
|
50
|
8
|
19
|
34
|
8
|
23
|
26
|
8
|
21
|
6
|
8
|
13
|
7
|
8
|
1
|
52
|
8
|
9
|
46
|
8
|
19
|
18
|
8
|
23
|
26
|
9
|
20
|
34
|
9
|
11
|
39
|
9
|
0
|
34
|
9
|
11
|
11
|
9
|
19
|
48
|
9
|
23
|
27
|
9
|
20
|
55
|
9
|
12
|
48
|
9
|
1
|
28
|
9
|
10
|
2
|
9
|
19
|
32
|
9
|
23
|
27
|
10
|
20
|
22
|
10
|
11
|
18
|
10
|
0
|
10
|
10
|
11
|
31
|
10
|
20
|
0
|
10
|
23
|
28
|
10
|
20
|
44
|
10
|
12
|
28
|
10
|
1
|
4
|
10
|
10
|
24
|
10
|
19
|
46
|
10
|
23
|
27
|
11
|
20
|
9
|
11
|
10
|
57
|
11
|
0
|
14
|
11
|
11
|
51
|
11
|
20
|
12
|
11
|
23
|
28
|
11
|
20
|
32
|
11
|
12
|
8
|
11
|
0
|
41
|
11
|
10
|
45
|
11
|
20
|
0
|
11
|
23
|
28
|
12
|
19
|
56
|
12
|
10
|
35
|
12
|
0
|
38
|
12
|
12
|
12
|
12
|
20
|
25
|
12
|
23
|
28
|
12
|
20
|
21
|
12
|
11
|
47
|
12
|
0
|
18
|
12
|
11
|
7
|
12
|
20
|
13
|
12
|
23
|
28
|
13
|
19
|
43
|
13
|
10
|
13
|
13
|
1
|
50
|
13
|
12
|
33
|
13
|
20
|
37
|
13
|
23
|
27
|
13
|
20
|
9
|
13
|
11
|
28
|
13
|
0
|
6
|
13
|
11
|
28
|
13
|
20
|
26
|
13
|
23
|
28
|
14
|
19
|
28
|
14
|
9
|
51
|
14
|
1
|
24
|
14
|
12
|
52
|
14
|
20
|
48
|
14
|
23
|
27
|
14
|
19
|
56
|
14
|
11
|
7
|
14
|
0
|
30
|
14
|
11
|
49
|
14
|
20
|
37
|
14
|
23
|
27
|
15
|
19
|
13
|
15
|
9
|
28
|
15
|
1
|
48
|
15
|
13
|
12
|
15
|
20
|
58
|
15
|
23
|
26
|
15
|
19
|
43
|
15
|
10
|
46
|
15
|
0
|
53
|
15
|
12
|
10
|
15
|
20
|
50
|
15
|
23
|
26
|
16
|
18
|
59
|
16
|
9
|
6
|
16
|
2
|
12
|
16
|
13
|
32
|
16
|
21
|
9
|
16
|
23
|
25
|
16
|
19
|
30
|
16
|
10
|
26
|
16
|
1
|
17
|
16
|
12
|
31
|
16
|
21
|
1
|
16
|
23
|
25
|
17
|
18
|
44
|
17
|
8
|
44
|
17
|
2
|
35
|
17
|
13
|
51
|
17
|
21
|
20
|
17
|
23
|
24
|
17
|
19
|
16
|
17
|
10
|
4
|
17
|
1
|
40
|
17
|
12
|
51
|
17
|
21
|
12
|
17
|
23
|
24
|
18
|
18
|
29
|
18
|
8
|
21
|
18
|
2
|
59
|
18
|
14
|
11
|
18
|
21
|
30
|
18
|
23
|
21
|
18
|
19
|
2
|
18
|
9
|
43
|
18
|
2
|
4
|
18
|
13
|
11
|
18
|
21
|
23
|
18
|
23
|
21
|
19
|
18
|
14
|
19
|
7
|
59
|
19
|
3
|
22
|
19
|
14
|
29
|
19
|
21
|
39
|
19
|
23
|
18
|
19
|
18
|
48
|
19
|
9
|
21
|
19
|
2
|
26
|
19
|
13
|
31
|
19
|
21
|
33
|
19
|
23
|
18
|
20
|
17
|
57
|
20
|
7
|
36
|
20
|
3
|
46
|
20
|
14
|
47
|
20
|
21
|
48
|
20
|
23
|
14
|
20
|
18
|
34
|
20
|
8
|
59
|
20
|
2
|
50
|
20
|
13
|
51
|
20
|
21
|
43
|
20
|
23
|
13
|
21
|
17
|
41
|
21
|
7
|
14
|
21
|
4
|
9
|
21
|
15
|
5
|
21
|
21
|
57
|
21
|
23
|
11
|
21
|
18
|
19
|
21
|
8
|
37
|
21
|
3
|
13
|
21
|
14
|
11
|
21
|
21
|
52
|
21
|
23
|
9
|
22
|
17
|
25
|
22
|
6
|
51
|
22
|
4
|
32
|
22
|
15
|
24
|
22
|
22
|
5
|
22
|
23
|
7
|
22
|
18
|
4
|
22
|
8
|
16
|
22
|
3
|
37
|
22
|
14
|
30
|
22
|
22
|
1
|
22
|
23
|
6
|
23
|
17
|
7
|
23
|
6
|
28
|
23
|
4
|
55
|
23
|
15
|
41
|
23
|
22
|
14
|
23
|
23
|
2
|
23
|
17
|
48
|
23
|
7
|
56
|
23
|
4
|
0
|
23
|
14
|
50
|
23
|
22
|
11
|
23
|
23
|
0
|
24
|
16
|
50
|
24
|
6
|
5
|
24
|
5
|
19
|
24
|
16
|
0
|
24
|
22
|
22
|
24
|
22
|
56
|
24
|
17
|
33
|
24
|
7
|
33
|
24
|
4
|
23
|
24
|
15
|
9
|
24
|
22
|
19
|
24
|
22
|
54
|
25
|
16
|
32
|
25
|
5
|
41
|
25
|
5
|
41
|
25
|
16
|
18
|
25
|
22
|
29
|
25
|
22
|
51
|
25
|
17
|
19
|
25
|
7
|
11
|
25
|
4
|
46
|
25
|
15
|
27
|
25
|
22
|
27
|
25
|
22
|
49
|
26
|
16
|
14
|
26
|
5
|
18
|
26
|
6
|
3
|
26
|
16
|
34
|
26
|
22
|
35
|
26
|
22
|
46
|
26
|
17
|
2
|
26
|
6
|
49
|
26
|
5
|
9
|
26
|
15
|
46
|
26
|
22
|
34
|
26
|
22
|
43
|
27
|
15
|
56
|
27
|
4
|
55
|
27
|
6
|
27
|
27
|
16
|
50
|
27
|
22
|
41
|
27
|
22
|
39
|
27
|
16
|
45
|
27
|
6
|
26
|
27
|
5
|
32
|
27
|
16
|
4
|
27
|
22
|
41
|
27
|
22
|
35
|
28
|
15
|
38
|
28
|
4
|
3
|
28
|
6
|
50
|
28
|
17
|
6
|
28
|
22
|
48
|
28
|
22
|
32
|
28
|
16
|
28
|
28
|
6
|
3
|
28
|
5
|
55
|
28
|
16
|
22
|
28
|
22
|
48
|
28
|
22
|
28
|
29
|
15
|
18
|
29
|
4
|
8
|
29
|
7
|
13
|
29
|
17
|
22
|
29
|
22
|
54
|
29
|
22
|
●6
|
29
|
16
|
11
|
29
|
5
|
40
|
29
|
6
|
19
|
29
|
16
|
39
|
29
|
22
|
51
|
29
|
22
|
21
|
30
|
15
|
0
|
|
|
|
30
|
7
|
35
|
30
|
17
|
39
|
30
|
22
|
58
|
30
|
22
|
●8
|
30
|
15
|
53
|
30
|
5
|
19
|
30
|
6
|
42
|
30
|
16
|
56
|
30
|
22
|
59
|
30
|
22
|
13
|
31
|
14
|
41
|
|
|
|
31
|
7
|
57
|
|
|
|
31
|
23
|
3
|
|
|
|
31
|
15
|
36
|
31
|
4
|
57
|
|
|
|
31
|
17
|
14
|
|
|
|
31
|
22
|
4
|
¶
The
Balla
Stella
or
Crosse
staffe
:
to
take
the
heigth
of
the
Sunne
or
Starre
.
¶
The
sixt
Chapter
or
rule
sheweth
,
how
to
take
the
heigth
of
the
Sun
with
the
crosse
staffe
or
with
the
Astrolobe
,
and
also
how
to
find
the
true
Meridian
,
with
other
necessarie
matters
.
TO
take
the
true
heigth
of
the
Sunne
at
the
Sea
,
the
beste
way
is
,
to
doe
it
wyth
the
crosse
staffe
:
for
that
the
Sea
is
moueable
,
and
causeth
the
Shippe
to
heaue
,
and
sette
little
or
much
:
And
also
vpon
the
crosse
staffe
the
degrees
be
larger
marked
than
the
King
or
Astrolobe
:
and
in
a
large
instrument
an
errour
is
seene
sooner
and
better
than
it
is
in
a
small
instrument
.
Nowe
to
take
the
heigth
of
the
Sunne
,
How
to
obserue
the
sun
.
to
knowe
thy
Altitude
of
the
Pole
aboue
the
Horizon
,
doe
this
:
Firste
set
the
Sunne
with
a
compasse
,
to
knowe
when
that
the
Sunne
commeth
neare
vnto
the
Meridian
:
as
soone
as
you
see
that
the
Sunne
is
come
vnto
the
South
and
by
East
,
then
beginne
to
take
the
heigth
of
the
Sunne
with
the
crosse
staffe
in
this
manner
:
Put
the
Transitorie
vpon
the
long
staffe
,
then
set
the
end
of
the
long
staffe
close
at
the
corner
of
your
eye
,
To
take
the
heigth
of
the
Sunne
with
the
crosse
staffe
.
winking
with
your
other
eye
,
and
remouing
the
Transitorie
forwardes
or
backwardes
,
vntill
you
doe
see
the
lower
ende
of
it
(
being
iust
with
the
Horizon
)
and
the
vpper
ende
of
it
,
(
being
iust
with
the
middle
of
the
Sunne
)
both
to
agree
with
the
Sunne
and
the
Horizon
at
one
time
:
and
so
haue
you
the
true
heigth
of
the
Sunne
:
this
done
,
Stil
obserue
the
same
,
vntil
you
see
the
Sunne
at
the
highest
and
beginning
to
descende
,
and
then
haue
you
finished
.
The
cause
why
the
crosse
staffe
]
is
best
to
take
the
heigth
of
the
Sun
vnto
50
,
degrees
Yet
notwithstanding
this
is
to
be
noted
:
that
it
is
beste
to
take
the
heigth
of
the
Sunne
with
the
crosse
staffe
,
when
the
Sunne
is
vnder
50.
degrées
in
heigthe
aboue
the
Horizon
,
for
two
causes
.
The
one
is
this
:
till
the
Sunne
be
.50
.
degrées
in
heigthe
the
degrees
be
largely
marked
vppon
the
crosse
staffe
,
but
after
(
the
Sunne
being
aboue
.50
.
degrées
high
)
they
be
lesser
marked
.
The
other
is
,
for
that
the
Sunne
being
vnder
50.
degrees
in
heigth
,
you
may
easily
take
the
heigth
,
bycause
you
may
easily
sée
or
viewe
the
vpper
end
and
the
nether
end
of
the
crosstaffe
bothe
at
one
time
:
but
if
it
dothe
excéede
.50
.
degrées
,
then
by
the
meanes
of
casting
your
eye
vpwardes
and
downwardes
so
muche
,
you
may
soone
commit
error
,
and
then
in
like
manner
the
degrees
be
so
small
marked
,
that
if
the
Sunne
dothe
passe
.50
.
or
.60
.
degrees
in
heigth
,
you
must
leaue
the
crosse
staffe
and
vse
the
Mariners
King
,
called
by
them
the
Astralaby
,
which
they
ought
to
call
the
Astrolobe
.
To
take
the
heigth
of
the
Sun
with
the
Astrolobe
Nowe
to
take
the
heigth
of
the
Sunne
with
the
common
King
or
Astrolobe
,
doe
thus
:
The
Sunne
being
(
as
before
is
declared
)
neare
the
Meridian
or
South
,
obserue
it
(
vntill
you
haue
the
greatest
heygth
thereof
)
in
this
manner
:
Holde
the
King
of
the
Astrolobe
vpon
one
of
your
fingers
,
Howe
to
correct
your
Astrolobe
if
it
dothe
nor
hang
vpright
.
and
turne
the
Alhidada
vppe
and
downe
,
vntill
you
see
the
shadowe
of
the
Sunne
pearse
or
passe
thorough
bothe
the
sightes
thereof
,
being
sure
that
the
Astrolobe
dothe
hang
vpryght
,
whiche
you
may
proue
in
this
manner
:
Looke
at
howe
many
degrées
and
minutes
the
Alhidada
dothe
stande
vppon
the
Astrolobe
,
then
turne
the
Alhidada
vnto
the
same
number
of
the
degrées
and
minutes
on
the
other
side
of
the
Astrolobe
,
and
then
taking
the
heigth
of
the
Sunne
againe
,
if
it
doe
agree
as
it
did
before
,
then
the
Astrolobe
dothe
hang
vpright
:
but
if
it
doe
not
,
then
it
dothe
not
hang
vpright
.
For
knowledge
of
the
true
heigth
of
the
Sun
(
the
Astrolobe
not
hanging
vpright
)
do
thus
:
if
the
Astrolobe
be
truely
marked
,
marke
the
diuersitie
,
that
being
knowne
,
rebate
from
the
greatest
heigth
halfe
the
diuersitie
,
or
else
adde
vnto
the
lesser
heigth
halfe
the
diuersitie
,
and
that
shall
be
the
true
heigth
of
the
Sunne
,
although
that
the
Astrolobe
doth
not
hang
vpright
.
The
Astrolobe
is
best
to
take
the
heigth
of
the
Sunne
at
.60.70
.
or
.80
.
degrees
in
heigth
.
How
to
preserue
your
eyes
when
you
touch
the
Sunne
with
the
crosse
staffe
and
haue
no
glasses
.
The
diameter
of
the
Sunne
is
30.
or
.31
.
minuts
.
The
Astrolobe
is
best
to
take
the
heigth
of
the
Sun
,
if
the
Sunne
be
very
high
at
.60.70
.
or
.80
.
degrées
,
and
the
cause
is
this
:
the
Sunne
comming
so
néere
vnto
your
Zenith
,
hathe
great
power
of
light
,
for
to
pearce
the
.2
.
sights
of
the
Alhidada
of
the
Astrolobe
,
and
then
it
is
not
good
to
vse
the
crosse
staffe
,
for
that
the
Sunne
hurteth
the
eyes
of
a
man
,
and
besides
that
it
is
to
high
to
occupy
the
crosse
staffe
,
(
as
before
is
declared
)
so
that
this
way
you
may
very
much
preserue
your
eyes
.
If
you
haue
not
glasses
vpon
your
staffe
(
to
saue
your
eyes
in
taking
the
heigth
of
the
Sunne
)
but
be
vnprouided
of
them
,
do
thus
:
take
and
couer
the
Sunne
with
the
end
of
the
transitorie
of
the
crosse
staffe
,
vnto
the
very
vpper
edge
or
brinke
of
the
Sunne
(
so
shall
you
not
néede
to
beholde
the
brightnesse
of
it
)
and
with
the
other
end
of
the
transitorie
to
take
the
horizon
truely
,
and
that
being
done
,
for
that
the
Sunne
is
.30
.
or
.31
.
minuts
in
diameter
or
bredth
,
therefore
you
shall
rebate
.15
.
minutes
from
the
altitude
or
heigthe
of
the
Sunne
,
and
then
that
whiche
shall
remaine
shall
be
the
true
heigth
of
the
Sunne
from
the
center
or
middle
of
the
Sunne
.
And
furthermore
there
is
some
error
in
the
taking
the
Sunne
or
Starre
with
the
Ballastel
or
crosse
staffe
,
and
that
groweth
by
this
meanes
:
for
that
the
true
center
(
which
is
the
sight
of
the
eye
)
is
within
in
the
middle
of
the
eye
,
Some
error
in
the
crosse
staffe
and
how
to
reforme
it
.
and
not
in
the
outside
of
the
eye
:
so
that
the
end
of
the
long
staffe
in
the
setting
of
it
vnto
the
corner
of
your
eye
,
dothe
stande
somewhat
further
out
than
the
sight
of
your
eye
,
that
is
too
saye
,
that
the
sighte
of
the
eye
is
somewhat
further
into
the
head
,
than
the
ende
of
the
staffe
dothe
come
:
wherefore
you
must
pare
away
a
little
of
the
ende
of
the
staffe
,
for
some
mens
vses
more
,
and
some
mens
vses
lesse
,
for
that
it
is
according
as
you
may
set
the
staffe
vnto
your
eye
,
for
some
men
neede
pare
away
little
or
nothing
,
and
some
men
must
pare
away
.14
.
or
.15
.
minutes
as
you
may
set
the
staffe
:
bycause
some
mens
eyes
be
further
into
their
head
than
other
some
mens
are
,
and
the
bones
of
some
mens
face
stand
further
out
than
other
some
do
.
It
is
moreouer
conuenient
to
know
the
true
meridian
,
or
South
,
whiche
you
must
do
,
either
with
a
good
compasse
or
with
a
perfyte
diall
or
Néedel
:
To
get
the
true
Meridian
vpon
the
Land
.
but
if
you
be
on
the
land
this
you
may
do
:
on
a
péece
of
timber
,
or
any
other
thing
that
standeth
fast
,
with
a
paire
of
compasses
make
a
circle
,
then
in
the
midle
or
center
where
the
foote
of
the
compasse
did
stand
set
a
wire
vpright
(
as
circumspectly
as
you
can
)
and
then
you
may
do
this
:
looke
in
the
morning
(
so
it
be
on
plaine
ground
that
you
may
sée
the
horizon
circle
,
without
any
let
)
at
the
Sunne
rising
,
for
the
shadow
of
the
wier
,
and
there
set
a
pricke
:
then
at
the
setting
of
the
Sunne
you
shall
set
another
pricke
,
euen
at
the
circumference
of
the
circle
,
then
deuide
that
with
your
compasses
euen
in
.2
.
peeces
,
and
strike
a
straight
line
from
the
wier
or
center
of
the
circle
,
to
the
middle
or
deuided
prick
,
&
that
shal
be
true
meridian
.
Or
else
(
the
wier
standing
vpright
)
first
in
the
fore
noone
when
the
top
of
the
wier
doth
touch
,
or
is
ready
to
come
into
the
circumference
or
edge
of
the
circle
,
there
make
a
pricke
:
then
in
the
after
noone
in
like
manner
,
at
the
very
comming
out
or
touching
of
the
wyer
,
of
the
edge
of
the
circle
,
there
make
an
other
pricke
euen
with
the
comming
out
of
the
shadow
:
this
done
(
as
circumspectly
as
you
can
)
deuide
these
2.
prickes
in
the
midle
,
then
as
before
is
said
,
drawe
a
line
from
the
center
or
wier
,
to
the
midle
pricke
,
and
that
shadow
shal
be
your
true
meridian
.
After
another
manner
you
may
doe
this
:
looke
and
watch
when
the
wyer
giueth
the
shortest
shadowe
,
and
there
make
a
pricke
:
then
draw
a
line
from
that
prick
to
the
wyer
,
which
shadow
shall
be
the
true
meridian
.
And
yet
furthermore
,
To
knowe
the
true
Meridian
at
the
Sea
,
and
also
(
if
your
compas
be
varied
)
and
to
know
how
much
they
be
varied
.
for
that
it
is
most
conuenient
to
know
the
true
Meridian
at
the
Sea
,
bicause
in
long
viages
going
far
vnto
the
Westward
or
Eastward
,
the
compasse
doth
varie
:
to
find
the
true
Meridian
do
this
.
Set
the
Sunne
with
your
compasse
at
hir
rising
or
appearing
aboue
the
horizon
,
&
then
(
knowing
what
point
&
part
the
Sunne
doth
rise
at
)
set
the
Sun
with
your
compas
at
hir
setting
or
departing
vnder
the
horizon
,
&
(
that
being
known
)
you
shal
perfitly
know
,
whether
the
compas
be
varied
,
&
how
much
:
for
ensample
this
,
I
doe
set
the
Sun
at
hir
rising
with
the
compas
,
&
she
doth
rise
vpon
the
East
point
:
in
like
maner
also
I
do
set
the
Sun
with
hir
compas
at
hir
setting
,
&
do
find
hir
to
set
West
Northwest
:
so
I
do
sée
the
compas
to
be
varied
one
pointe
,
that
is
to
say
,
the
North
point
doth
stand
North
and
by
East
.
&c.
And
furthermore
(
for
that
seldome
times
the
Sun
dothe
rise
and
set
cleere
by
the
meanes
of
the
cloudes
,
and
other
impediments
néere
the
horizon
)
you
may
get
the
true
Meridian
thus
:
at
any
time
in
the
fore
noone
,
first
set
the
Sunne
with
your
compas
,
and
then
take
the
true
heigth
of
the
Sunne
.
Now
you
(
knowing
how
many
degrées
the
Sun
was
high
at
that
point
of
the
compas
)
may
in
like
maner
obserue
the
Sunne
in
the
afternoone
,
vntill
you
do
find
the
Sun
iust
at
that
heigth
that
it
was
in
the
forenoone
,
marking
at
what
point
of
the
compas
the
Sunne
is
,
and
so
shall
you
see
perfitely
whether
the
compas
be
varied
or
no
,
and
also
howe
much
:
for
ensample
thus
:
I
take
the
Sun
vpon
the
Southest
poynt
.20
.
degrees
aboue
the
horison
,
&
then
in
the
after
noone
I
do
obserue
the
Sun
vntil
such
time
as
I
do
find
the
Sunne
iust
.20
.
degrées
aboue
the
horizon
again
,
&
then
I
set
the
Sun
with
the
compas
and
do
find
the
Sun
to
be
at
.20
.
degrées
in
heigth
west
Southwest
,
so
that
I
see
the
compas
to
be
varied
one
point
,
that
is
to
say
the
North
point
doth
stand
North
&
by
East
.
&c.
Another
way
also
to
know
the
true
meridian
,
is
by
the
Sun
:
that
is
,
to
set
the
Sun
with
the
compas
at
hir
greatest
heigth
aboue
the
horizon
,
&
so
you
shall
know
whither
that
compas
be
varied
,
&
how
much
:
&
looke
what
is
spoken
of
the
Sun
by
day
,
you
may
do
the
like
by
night
by
any
of
the
Starres
that
you
perfectly
do
know
,
To
find
the
variation
of
the
compas
in
the
night
by
the
Starres
but
not
by
the
Moone
.
doing
as
you
do
by
the
Sun
in
all
points
:
but
you
cannot
do
it
so
well
and
truly
by
the
Moone
,
by
the
meanes
of
the
swiftnesse
of
the
moones
motion
in
the
Zodiack
,
you
may
also
find
the
variation
of
the
compas
by
the
North
Starre
,
as
thus
:
set
the
North
Star
with
the
compas
,
if
the
North
point
do
stande
right
with
the
Starre
,
then
it
is
not
varied
,
but
if
it
dothe
not
stande
ryghte
wyth
the
Starre
,
then
it
is
varied
:
and
that
must
be
done
when
the
.2
.
Starres
of
Charles
Waine
called
the
pointes
be
right
vnder
,
or
right
ouer
the
North
Star
,
but
if
that
the
Starres
be
West
from
the
North
Starre
,
then
the
North
Starre
is
the
third
part
of
a
point
vnto
the
Eastward
of
the
North
pole
.
If
the
.2
.
Starres
of
Charles
Wayne
called
the
poynters
be
due
east
from
the
North
Starre
,
then
the
North
Starre
is
the
third
part
of
a
point
vnto
the
westwarde
of
the
North
pole
.
&c.
This
haue
I
saide
bycause
that
sometime
in
sundry
places
,
the
compasse
doth
varie
,
&
especially
in
the
sayling
of
long
viages
running
East
and
West
,
Medell
not
with
your
compasse
al
though
it
be
varied
.
(
called
the
Northeasting
or
Northwesting
of
the
compasse
)
therefore
I
would
not
wish
them
to
meddle
with
the
mending
of
their
compasse
or
whetting
of
the
side
of
the
néedell
to
the
end
to
make
it
to
stand
due
North
,
but
circumspectly
to
awaite
the
altering
of
the
compasse
,
and
what
quantitie
it
doth
alter
:
as
you
may
do
very
well
,
by
the
order
before
rehersed
,
and
then
let
your
compasse
alone
:
for
although
that
it
dothe
varie
.2
.
or
.3
.
poynts
,
To
saile
by
the
compas
that
is
varied
.
you
may
make
account
according
to
the
variation
as
thus
:
I
admit
the
Northwest
point
standeth
due
North
,
and
my
course
is
to
go
due
West
,
I
will
occupy
the
Southwest
pointe
in
this
case
for
the
west
poynte
.
And
thus
(
by
obseruation
and
trying
of
my
compasse
)
I
care
not
what
point
standeth
due
North
,
for
it
is
all
one
,
so
that
you
consider
what
poynt
standeth
North.
And
now
furthermore
,
some
are
of
that
opinion
,
that
(
by
the
Northeasting
or
Northwesting
of
the
compasse
)
you
may
knowe
the
Longitude
:
but
I
am
not
of
that
opinion
,
for
I
admit
that
it
be
so
(
as
some
do
affirme
)
that
the
compasse
doth
varie
,
(
as
some
haue
said
)
that
is
,
As
touching
Longitude
to
be
found
by
the
Northeasting
or
Northwesting
of
the
compasse
.
that
you
being
.90
.
degrées
vnto
the
Westwarde
(
from
the
place
youre
compasse
was
made
at
)
youre
North
poynt
should
stand
Northeast
:
and
in
like
maner
you
being
.90
.
degrees
East
,
your
North
poynt
should
stand
Norwest
:
then
by
that
order
the
compasse
should
vary
one
poynt
at
.22
.
degrées
and
a
halfe
,
and
that
commeth
vnto
.450
.
english
leagues
(
if
you
be
néere
vnto
the
equinoctial
:
)
wherefore
no
master
or
pilotte
of
a
shippe
,
doth
kéepe
so
simple
account
of
the
shippes
way
,
but
that
he
may
knowe
what
distaunce
he
hath
vnto
any
place
better
than
he
shal
know
by
the
variing
of
the
compas
:
&
also
whether
it
be
so
or
not
that
the
compas
doth
keepe
any
such
proportion
in
the
variation
,
I
do
refer
that
vnto
them
that
haue
tried
the
experience
therof
:
for
I
for
my
part
can
say
nothing
in
that
matter
.
Wherfore
I
cease
from
writing
muche
thereof
,
althoughe
the
Sea
men
be
very
desirous
to
haue
some
way
to
get
the
Longitude
.
But
if
it
be
true
that
the
compasse
doth
varie
by
that
proportion
,
then
it
were
very
good
for
them
to
practise
that
matter
that
shoulde
make
any
discouery
vnto
the
Northwardes
,
for
that
the
degrees
be
so
short
in
those
Paralels
.
The
seuenth
Chapter
sheweth
how
to
handle
the
declination
of
the
Sunne
,
to
knowe
the
altitude
of
the
North
pole
aboue
the
horizon
,
(
the
heigth
of
the
Sunne
being
truely
taken
and
knowen
in
any
place
betweene
the
North
pole
and
the
Equinoctiall
)
so
that
the
Sunne
be
vnto
the
Southwards
of
you
,
at
the
taking
of
the
Sunne
vppon
the
Meridian
.
YOu
must
consider
by
the
regiment
or
table
of
declination
(
going
before
)
that
the
.11
.
day
of
Marche
the
Sunne
is
equinoctiall
entring
then
the
firste
point
of
Aries
(
called
the
equinoctiall
of
spring
time
)
where
she
hath
no
declination
.
The
.10
.
day
of
Aprill
the
Sunne
entreth
into
the
firste
minute
of
Taurus
,
then
hauing
declination
to
the
Northwards
.
11.
degrées
.30
.
minuts
.
The
.12
.
day
of
May
,
the
Sunne
entreth
the
first
poynte
of
Gemini
,
hauing
then
declination
.20
.
The
greatest
declination
of
the
Sunne
.
degrees
.12
.
minuts
.
The
.12
.
day
of
Iune
the
Sunne
entreth
into
Cancer
,
where
he
(
making
his
greatest
progresse
to
the
Northwards
)
hath
.23
.
degrées
.28
.
minuts
of
declination
.
But
now
in
this
our
time
,
some
do
affirme
it
to
be
.23
.
degrées
and
a
halfe
,
but
it
lacketh
.2
.
minuts
.
The
.14
.
day
of
Iulie
,
the
Sunne
entreth
into
Leo
comming
dounwards
to
the
Equinoctiall
,
hauing
.20
.
degrées
.12
.
minutes
of
declination
.
The
14.
day
of
August
the
Sunne
entreth
into
Virgo
,
hauing
declination
.11
.
degrees
.30
.
minutes
.
The
.14
.
of
September
,
the
Sunne
entreth
into
Libra
,
(
then
being
Equinoctiall
,
and
hauing
no
declination
)
whiche
is
called
the
Equinoctiall
of
Autumne
or
haruest
,
Equinoctiall
of
Autumne
.
where
he
beginneth
his
South
declination
.
The
.14
.
of
October
the
Sun
entreth
into
Scorpio
,
where
his
declination
is
.11
.
degrees
.30
.
minutes
.
The
.12
.
of
Nouember
the
Sun
entreth
into
Sagittarius
,
his
declination
being
.20
.
degrées
.12
.
minutes
.
The
.12
.
day
of
December
,
the
Sunne
entreth
the
firste
minute
of
Capricorne
,
where
the
Sunne
(
making
greatest
progresse
to
the
Southwards
)
hath
of
declination
.23
.
degrees
and
.28
.
minutes
.
From
whence
he
retourneth
to
the
equinoctiall
againe
.
The
greatest
declination
to
the
South
.
The
.11
.
of
Ianuary
the
Sunne
entreth
into
Aquarius
,
where
his
declination
is
20.
degrees
.12
.
minutes
.
The
.10
.
day
of
February
the
Sunne
entreth
into
the
first
minute
of
Pisces
,
and
hath
of
declination
.11
.
degrees
.30
.
minutes
.
The
.11
.
day
of
March
,
the
Sunne
retourneth
to
the
selfe
same
place
that
it
departed
from
before
,
wherefore
the
Egyptians
did
paint
the
yeare
like
to
an
adder
biting
hir
tayle
,
The
yeare
is
compared
vnto
a
ring
or
an
adder
biting
his
tayle
.
and
(
not
hauing
the
vse
of
letters
)
they
made
a
ring
and
named
it
annulus
,
as
it
were
annus
,
that
is
to
saye
a
yeare
:
bycause
a
ring
dothe
turne
rounde
in
it selfe
as
dothe
the
yeare
.
The
heigth
of
the
Sunne
béeing
knowen
,
you
(
knowing
the
day
of
the
mooneth
,
and
what
yeare
it
is
after
the
Bissextilis
)
must
turne
to
the
day
of
the
mooneth
,
in
the
regiment
or
table
going
before
,
where
right
againste
the
day
of
the
mooneth
you
shall
find
the
degrées
of
declination
and
the
odde
minuts
belonging
to
the
degrées
of
declination
following
:
that
being
knowen
(
that
is
to
say
,
the
heigth
of
the
Sun
with
the
degrées
and
minutes
of
the
declination
)
if
the
Sunne
haue
North
declination
,
The
heigth
of
the
Sun
being
taken
and
knowen
then
how
to
handle
the
declination
to
know
the
heigth
of
the
pole
.
you
shall
subtract
or
take
away
the
Sunnes
declination
from
the
heigth
of
the
Sunne
,
with
the
degrees
and
minutes
:
and
then
that
which
remaineth
shall
be
the
true
heigth
of
the
Equinoctiall
whiche
being
knowen
,
pulling
that
summe
out
of
.90
.
with
the
degrees
and
minuts
,
that
whiche
dothe
remaine
shall
be
the
true
heigth
of
the
North
pole
aboue
the
horizon
.
But
if
that
the
Sunne
hathe
South
declination
,
you
shall
adde
or
put
that
declination
vnto
the
heigth
of
the
Sunne
,
whiche
shall
shewe
vnto
you
the
true
heigth
of
the
Equinoctiall
:
of
the
which
summe
(
being
taken
from
.90
.
)
that
which
doth
remain
shall
be
the
altitude
of
the
North
pole
aboue
the
horizon
.
For
this
is
to
be
noted
:
looke
what
heigth
the
Equinoctiall
is
aboue
the
horizon
,
it
is
equall
or
iust
so
much
betweene
the
Zenith
or
verticall
point
and
the
North
pole
.
In
like
maner
:
looke
how
many
degrées
and
minutes
are
betwéene
the
Equinoctiall
and
your
Zenith
,
iust
that
number
of
degrées
and
minuts
is
from
the
North
pole
,
downe
to
the
horizon
,
Things
to
be
noted
as
touching
the
taking
of
the
altitude
of
the
pole
.
which
is
the
cause
that
you
must
pull
the
heigth
of
the
Equinoctial
,
from
the
horizon
with
the
degrees
and
minutes
.
For
that
your
Zenith
is
alwayes
.90
.
degrées
from
the
horizon
as
you
sée
by
this
figure
.
The
.8
.
Chapter
sheweth
you
how
to
handle
the
declination
of
the
Sunne
,
when
you
are
betweene
the
Equinoctiall
and
the
Sunne
:
that
is
to
say
,
the
Sunne
being
to
the
Southwards
or
Northwards
of
you
and
the
Equinoctial
,
or
vnder
the
Equinoctiall
:
the
heigth
of
the
Sunne
being
truely
knowen
or
taken
.
NOw
furthermore
if
you
be
vnto
the
South
parts
neare
vnto
the
equinoctiall
,
so
that
the
Sunne
haue
any
great
declination
either
to
the
Southwards
or
the
Northwards
,
you
being
between
the
equinoctial
and
the
Sunne
,
when
you
haue
taken
the
true
heigth
of
the
Sun
with
the
Astrolobe
,
to
know
the
heigth
of
any
of
the
.2
.
poles
do
this
:
séeke
the
declination
of
the
Sun
for
that
day
with
the
degrées
&
minuts
,
the
declination
being
known
&
the
heigth
of
the
Sunne
in
like
maner
,
then
adde
the
declination
of
the
Sun
vnto
the
heigth
thereof
,
&
it
will
exceede
or
be
more
than
.90
.
degrées
,
then
againe
looke
how
many
degrees
it
is
more
than
.90
.
with
degrées
&
minuts
,
A
thing
to
be
noted
.
that
shal
be
the
true
heigth
of
the
pole
towards
that
side
that
the
Sun
is
:
bycause
the
Equinoctial
is
the
number
of
degrées
aboue
.90
.
(
which
is
your
Zenith
)
to
the
contrary
part
from
the
Sunwards
.
For
(
as
I
haue
said
in
the
chapter
going
before
&
is
general
for
euer
)
looke
what
heigth
soeuer
the
Equinoctial
be
from
the
horizon
,
that
is
the
true
distance
betwéene
the
Zenith
and
the
pole
:
in
like
maner
looke
what
distance
is
betwéene
the
Equinoctial
&
the
Zenith
,
the
same
is
the
true
distance
betwen
the
horizon
&
the
pole
,
that
is
to
say
,
the
pole
is
so
many
degrées
in
altitude
aboue
the
horizon
.
As
it
is
a
common
saying
(
in
knowing
how
farre
we
be
vnto
the
Southwards
or
Northwards
)
that
the
pole
artick
is
so
many
degrées
in
altitude
,
or
(
as
som
wil
say
)
that
we
are
in
so
many
degrées
in
Latitude
:
Altitude
or
Latitude
is
all
one
question
in
effect
.
the
question
is
all
one
in
effect
,
although
the
one
be
called
Altitude
or
heigthe
,
and
the
other
Latitude
or
widenesse
,
yet
it
hathe
one
signification
:
for
as
when
you
say
altitude
or
heigth
of
the
Pole
,
you
meane
the
Pole
is
raysed
so
many
degrees
aboue
the
Horizon
.
So
likewise
when
you
say
Latitude
,
you
mean
you
be
so
many
degrees
in
widenesse
from
the
Equinoctiall
:
for
that
your
Zenith
or
verticall
pointe
is
so
many
degrées
from
the
Equinoct
.
Moreouer
if
you
chaunce
to
be
right
vnder
the
Equinoctial
,
as
you
cannot
say
that
you
haue
any
Latitude
,
Being
vnder
the
Equinoctiall
you
haue
neither
Latitude
nor
altitude
,
for
that
the
Equinoctiall
is
your
Zenith
and
the
Poles
your
Horizon
.
so
likewise
cannot
you
say
that
you
haue
any
Altitude
,
for
that
the
two
Poles
be
then
iust
with
your
Horizon
,
and
in
like
maner
the
Equinoctiall
is
your
Zenith
or
Verticall
poynte
.
But
when
you
will
take
the
heigth
of
the
Sunne
with
your
Astrolobe
,
then
looke
what
declination
the
Sunne
hath
,
either
to
the
Southwardes
or
Northwardes
.
Then
put
the
declination
of
the
Sunne
vnto
the
heigthe
of
the
same
,
and
the
number
will
be
iust
.90
.
degrées
:
if
it
lacketh
any
thing
of
.90
.
degrées
,
then
it
signifieth
that
the
Equinoctiall
lacketh
so
much
of
the
Zenith
,
and
so
muche
iust
shal
the
pole
be
aboue
the
Horizon
towards
that
part
that
you
be
in
from
the
Sunne
wardes
.
But
contrarywise
,
if
it
dothe
excéede
or
be
any
thing
more
than
.90
.
degrées
,
then
(
as
afore
is
declared
)
it
signifieth
that
the
Equinoctiall
is
as
much
as
that
number
(
both
in
degrées
and
minutes
.
Of
your
zenith
being
betweene
the
Equinoctiall
and
the
Sunne
.
)
On
the
contrary
side
,
from
the
Sunne
wardes
,
that
is
to
say
,
your
Zenithe
shal
be
betwéene
the
Sunne
and
the
Equinoctial
,
&
the
Pole
shall
be
so
many
degrees
or
minutes
aboue
the
Horizon
,
as
is
the
distaunce
betwéene
the
Zenith
and
the
Equinoctiall
,
towardes
that
part
or
side
that
the
Sunne
is
on
.
Wherefore
I
do
think
it
necessarie
to
giue
certaine
ensamples
(
and
first
take
this
for
an
ensample
.
An
ensample
.
)
Admit
I
doe
take
the
heigth
of
the
Sunne
vnto
the
Northwards
.80
.
degrées
aboue
the
Horizon
,
and
the
Sunne
hathe
declination
vnto
the
Northwardes
.20
.
degrées
,
to
which
I
adde
or
put
the
heigth
,
that
is
to
say
.80
.
degrées
(
being
the
heigth
of
the
Sunne
)
and
.20
.
degrees
(
being
the
declination
of
the
Sunne
)
doe
make
.100
.
from
which
I
pull
.90
.
away
(
which
is
my
Zenith
)
and
so
ther
remayneth
.10
.
degrées
.
Wherefore
you
may
conclude
that
the
Equinoctiall
is
.10
.
degrées
to
the
South
parte
of
youre
Zenith
,
An
ensample
where
the
pole
is
.10
.
degrees
aboue
the
Horizon
.
and
the
Sunne
to
be
.10
.
degrées
to
the
North
parte
of
your
Zenith
,
so
that
the
North
Pole
is
.10
.
degrées
aboue
the
Horizon
,
as
by
this
example
it
is
declared
.
And
for
the
second
ensample
,
admit
I
take
the
Sunne
vnto
the
Northwardes
.75
.
degrees
and
.20
.
minutes
aboue
the
Horizon
,
the
Sunne
hauing
North
declination
.14
.
degrées
40.
minutes
,
I
then
do
adde
or
put
.14
.
degrées
.40
.
minutes
vnto
.75
.
degrées
.20
.
minuts
,
and
those
.2
.
ioyned
togither
maketh
.
9●
.
degrées
,
whereof
you
may
conclude
that
the
Equinoctiall
is
your
Zenith
,
and
then
the
.2
.
Poles
be
with
your
Horizon
,
as
by
this
example
it
doth
appeare
.
And
now
followeth
the
.3
.
ensample
.
I
admit
the
Sunne
be
taken
with
the
Astrolobe
.81
.
degrees
and
.15
.
minutes
aboue
the
horizon
,
and
the
same
hathe
South
declination
.22
.
degrées
.35
.
minutes
,
An
ensample
.
wherefore
I
do
adde
or
put
togither
.81
.
degrées
and
.15
.
minutes
(
being
the
heigth
of
the
Sunne
)
and
22.
degrées
.35
.
minutes
(
being
the
declination
)
and
that
maketh
.103
.
degrees
.50
.
minutes
:
from
which
I
take
away
.90
.
degrées
(
which
is
my
Zenith
)
so
that
there
remayneth
.13
.
degrees
.50
.
minutes
:
so
that
you
may
safely
conclude
that
the
Equinoctiall
is
.13
.
degrées
.50
.
minutes
vnto
the
North
parts
of
the
Zenith
,
and
then
it
must
néedes
follow
that
the
South
pole
is
.13
.
degrees
.50
.
minuts
aboue
the
Horizon
,
as
by
thys
ensample
it
is
declared
.
The
nynth
Chapter
sheweth
how
to
handle
the
declination
of
the
Sunne
,
when
you
are
beyond
the
Equinoctiall
,
that
is
to
say
,
betweene
the
South
pole
and
the
Equinoctiall
:
with
certaine
ensamples
both
for
the
South
pole
and
the
North
pole
.
ANd
furthermore
if
you
be
vnto
the
Southwards
beyond
the
Equinoctial
,
as
betwéen
the
tropick
of
Capricorne
&
the
South
pole
,
then
to
vse
the
declination
of
the
Sun
to
know
the
heigth
of
the
South
pole
or
antartick
pole
by
the
heigth
of
the
Sun
,
there
is
no
other
matter
in
the
doing
thereof
,
To
take
the
Sun
to
the
Northwardes
you
being
betweene
the
south
Pole
and
the
Equinoctiall
.
but
wheras
we
(
being
vnto
the
North
partes
)
do
adde
the
South
declination
vnto
the
heigth
of
the
Sunne
,
and
rebate
the
North
declination
from
the
heigth
of
the
Sunne
,
so
in
like
manner
the
contrary
is
to
be
vsed
:
that
is
to
say
,
to
rebate
the
South
declination
from
the
heigth
of
the
Sunne
,
and
to
adde
vnto
the
heigth
of
the
Sun
the
North
declination
.
As
for
ensample
.
I
admit
the
heigth
of
the
sun
be
taken
.28
.
degrées
aboue
the
Horizon
due
North
,
&
the
declination
of
the
Sun
be
.21
.
degrees
vnto
the
Northwards
,
I
do
then
adde
the
declination
of
the
sun
which
is
.21
degrees
vnto
the
heigth
of
the
Sun
(
being
.28
.
degrees
)
which
maketh
.49
.
degrées
,
&
so
many
degrees
the
Equinoct
.
is
aboue
the
Horizon
vnto
the
Northwards
,
&
then
(
as
it
is
before
declared
)
pull
that
sum
out
from
.90
.
degrees
,
and
there
remaineth
.41
.
degrees
,
An
ensample
by
taking
the
South
pole
41.
degrees
aboue
the
Horizon
.
which
is
the
distance
betweene
the
Zenith
and
the
Equinoctiall
,
whiche
alwayes
is
equall
with
the
distance
betweene
the
Pole
and
the
Horizon
:
so
that
you
may
conclude
the
South
Pole
to
be
raysed
.41
.
degrees
aboue
the
Horizon
.
As
by
this
figure
it
is
shewed
.
And
furthermore
,
if
the
Sunne
haue
South
declination
,
then
(
as
before
is
declared
)
you
must
subtract
or
take
away
the
Sunnes
declination
from
the
heigth
of
the
Sunne
:
as
for
ensample
.
The
heigth
of
the
Sunne
being
taken
at
.50
.
degrees
.
●0
.
minutes
vnto
the
North
partes
,
and
the
Sunne
hauing
.7
.
degrées
and
.15
.
minutes
of
declination
vnto
the
southwards
,
from
which
heigth
of
the
Sun
(
for
that
you
are
vnto
the
the
Southwards
beyond
the
Equinoctial
)
you
must
rebate
the
declination
which
is
.7
.
degrées
and
.15
.
minuts
,
and
there
resteth
.43
.
degrées
.15
minuts
,
for
the
true
heigth
of
the
Equinoctial
,
which
summe
you
must
take
out
of
.90
.
degrées
,
that
done
,
there
remayneth
.46
.
degrées
.45
.
minutes
,
the
true
heigth
of
the
South
Pole
aboue
the
Horizon
,
otherwise
called
the
Antarticke
Pole
,
An
ensample
by
taking
the
north
pole
60.
degrees
aboue
the
Horizon
.
as
by
ensample
of
this
Fygure
is
playnely
shewed
.
Yet
furthermore
I
do
thinke
it
conuenient
to
giue
you
an
ensample
vnto
the
Northwardes
,
that
you
maye
perfectly
knowe
the
true
order
of
the
working
,
bothe
for
the
North
parte
and
also
the
South
parte
.
Admit
therefore
I
take
the
heigth
of
the
Sunne
due
South
,
at
.50
.
degrées
aboue
the
Horizon
,
the
Sunne
hauing
then
north
declination
.20
.
degrees
:
Now
(
for
as
much
as
you
haue
the
north
Pole
aboue
the
horizon
)
you
must
rebate
the
Suns
declination
from
the
heigth
:
so
that
.20
.
degr.
being
taken
away
from
.50
.
there
resteth
.30
.
whiche
is
the
heigth
of
the
Equinoctiall
aboue
the
Horizon
,
and
that
.30
.
being
taken
from
.90
.
there
resteth
.60
.
So
that
you
maye
boldly
affirme
the
North
Pole
to
be
.60
.
degrées
aboue
the
Horizon
,
as
by
this
figure
folowing
it
is
shewed
.
In
like
maner
the
Sunne
being
taken
at
that
heigth
and
due
South
,
hauing
the
like
declination
also
to
the
Southwardes
that
it
had
before
to
the
Northwardes
:
that
is
to
say
,
being
.50
.
degrées
in
heigth
,
and
hauing
.20
.
degrées
of
declination
vnto
the
South
partes
,
you
muste
adde
or
put
the
declination
of
the
Sunne
vnto
the
heigth
of
the
same
,
and
it
maketh
.70
.
degrées
which
is
the
heigth
of
the
Equinoctiall
aboue
the
Horizon
,
this
done
,
that
.70
.
being
taken
out
of
.90
.
there
remayneth
but
.20
.
so
that
the
North
Pole
is
but
.20
.
degrées
aboue
the
Horizon
,
as
by
the
ensample
of
this
fygure
it
is
shewed
.
For
in
handling
of
the
declination
the
true
heigth
of
any
of
the
Poles
is
knowne
.
Alwayes
hauyng
this
consideraton
,
that
if
they
haue
the
North
Pole
aboue
the
Horizon
,
they
do
alwayes
adde
or
put
too
the
heigth
of
the
Sun
,
A
thing
to
be
noted
in
the
handling
of
the
Sunnes
declination
.
the
South
declination
of
the
same
.
Or
the
Sunne
hauing
North
declination
,
they
pul
away
the
Sunnes
declination
from
the
heigth
thereof
.
Nowe
contrarywise
,
if
the
South
Pole
be
aboue
the
Horizon
,
you
muste
adde
the
North
declination
vnto
the
heigth
of
the
Sunne
,
and
take
away
the
South
declination
from
the
heigth
of
the
same
.
Nowe
to
knowe
whiche
of
the
2.
Poles
be
aboue
the
Horizon
,
is
a
very
easie
matter
and
is
knowne
.2
.
wayes
.
Howe
to
know
whiche
of
the
.2
poles
be
vnder
the
horizon
.
For
firste
if
the
North
Pole
be
aboue
the
Horizon
,
you
may
knowe
it
by
all
the
Starres
rounde
about
the
Pole
,
as
Charles
Wayne
and
the
Guardes
,
with
such
other
markes
as
be
aboute
the
North
Pole.
Neyther
can
you
passe
so
sodenly
beyond
the
Equinoctiall
,
but
it
must
néeds
be
known
vnto
you
,
&
then
you
must
vse
that
kynd
of
working
with
the
Sunnes
declination
that
in
the
chapter
or
rule
before
is
rehearsed
:
and
also
you
may
knowe
it
by
the
Arke
or
bearing
of
the
Starres
and
lyghtes
rounde
aboute
you
.
Thus
much
haue
I
sayd
as
touching
the
Suns
declination
,
The
cause
why
english
men
haue
not
traueled
far
beyonde
the
Equinoctiall
.
bycause
I
knowe
that
diuers
English
men
would
haue
trauelled
further
beyonde
the
Equinoctiall
than
they
haue
done
,
but
that
they
haue
not
had
the
capacitie
to
handle
the
Sunnes
declination
when
they
haue
bene
beyonde
the
Equinoctiall
,
that
is
to
say
,
vnto
the
South
partes
,
hauing
lost
the
markes
about
the
North
Pole
as
the
North
Starre
and
other
,
and
as
for
the
Stars
of
the
South
,
they
haue
not
bene
acquainted
with
them
,
but
haue
beaten
vp
and
downe
alongst
the
coast
of
Ginnie
and
Bynney
,
and
there
haue
spoiled
and
consumed
their
men
through
the
extraordinarie
heat
of
the
Sunne
,
An
vntemperat
place
for
extreme
heate
.
Temperate
clymate
.
not
knowing
that
in
going
furthrr
to
the
South
partes
,
they
shoulde
haue
brought
themselues
into
a
good
temperate
clymate
againe
.
¶
The
.10
.
Chapter
sheweth
,
howe
to
handle
the
Sunnes
declination
vnto
the
Northwards
,
where
the
Sunne
doth
not
set
vnder
the
Horizon
,
and
also
to
take
the
Sunne
at
the
lowest
being
due
North.
FOr
further
vse
of
the
Sunnes
declination
,
if
you
haue
any
occasion
to
trauell
vnto
the
Northwardes
or
Southwardes
more
than
.67
.
degrées
of
Altitude
of
any
of
the
.2
.
Poles
,
or
if
the
sunne
haue
any
great
declination
vnto
those
partes
that
you
are
in
,
them
shall
not
the
Sun
go
down
vnder
the
Horizon
in
a
long
time
,
Of
being
vnder
either
of
the
poles
.
after
as
you
be
in
distance
vnto
the
North
parts
,
for
if
you
were
right
vnder
either
of
the
.2
.
Poles
of
the
world
,
then
would
not
the
Sunne
go
vnder
the
Horizon
in
halfe
a
yeare
,
so
that
there
should
be
continually
day
:
And
now
for
the
handling
of
the
Sunnes
declination
,
to
knowe
the
heigth
of
the
Pole
,
&
to
take
the
Sun
North
at
the
lowest
,
Of
taking
the
heigth
of
the
sun
due
north
at
the
lowest
.
do
this
:
First
with
your
crosse
staffe
obserue
the
Sun
at
the
lowest
,
taking
the
true
distance
betwéene
the
Horizon
and
the
Sunne
,
that
being
truely
done
,
looke
what
declination
the
Sunne
hath
,
then
haue
you
to
consider
,
that
except
the
Sunne
be
neare
vnto
hir
greatest
declination
,
that
is
to
say
,
in
the
latter
end
of
Gemini
,
or
the
beginning
of
Cancer
)
the
Sunne
dothe
decline
little
in
.24
.
houres
:
A
thing
worthy
to
be
noted
as
touching
the
sunnes
declination
.
but
if
the
declination
be
very
swift
,
you
must
séeke
the
Sunnes
declination
vpon
the
day
before
,
and
the
daye
after
,
halfe
the
diuersitie
of
whych
shall
be
the
Sunnes
declination
:
for
that
the
sunne
is
at
the
angle
of
mydnight
.
The
Sunnes
true
declination
being
knowne
,
rebate
the
heigth
of
the
same
from
the
declination
of
the
Sunne
,
&
so
shal
you
haue
the
true
contente
in
degrées
and
minuts
that
the
Equinoctiall
is
vnder
the
Horizon
due
North
,
and
then
pulling
that
sum
from
.90
.
that
which
remaineth
shal
be
the
heigth
of
the
pole
aboue
the
Horizon
:
for
(
as
it
is
before
declared
)
looke
what
heigth
the
Equinoctial
is
aboue
the
Horizon
,
that
is
equal
the
distance
betweene
the
Pole
and
the
Zenith
,
and
looke
what
distance
is
betwéene
the
Equinoctiall
and
the
Zenith
,
A
thing
to
be
noted
of
the
pole
and
the
Equinoctiall
,
the
Zenith
and
the
Horizon
the
same
distaunce
is
betwéene
the
Pole
and
the
Horizon
in
like
manner
,
looke
howe
deepe
vnder
the
Horizon
the
Equinoctiall
is
vnto
the
Northwards
,
so
far
equall
is
the
heigth
of
the
Equinoctial
vnto
the
southwards
.
As
for
ensample
:
admit
I
were
vnto
the
Northwards
of
the
North
cape
,
the
Sun
being
in
hir
greatest
declination
vnto
the
Northwards
,
whiche
is
about
the
.11
.
day
of
Iune
.23
.
degrees
and
neere
a
halfe
this
being
knowen
I
take
the
Sunne
due
North
at
the
lowest
,
The
Sun
taken
due
North
at
.6
degrees
.
iust
.6
.
degrées
aboue
the
Horizon
,
the
declination
being
.23
.
degrees
and
.28
.
minutes
.
Wherefore
I
rebate
from
that
.6
.
degrees
and
so
there
remayneth
.17
.
degrées
and
.28
minutes
.
For
the
depth
of
the
Equinoctiall
vnder
the
Horizon
,
and
then
do
I
pull
that
summe
from
.90
.
and
there
remayneth
72.
degrées
.32
.
minutes
for
the
true
heigth
of
the
North
pole
aboue
the
Horizon
,
as
by
this
ensample
it
is
declared
.
By
this
ensample
you
may
also
know
the
true
heigth
of
any
of
the
.2
.
poles
,
and
how
to
obserue
the
Sunne
at
the
lowest
when
the
Sunne
commeth
neerest
vnto
the
Horizon
,
as
well
as
you
may
when
the
Sunne
is
vpon
the
Meridian
at
the
greatest
heigth
from
the
Horizon
,
which
is
very
necessary
for
them
that
do
occupy
vnto
the
Northwardes
of
Sainct
Nicholas
in
Rousey
,
it
is
also
very
necessary
for
them
that
would
attempt
any
viages
of
discouery
vnto
the
Northwards
,
Of
viages
for
discouery
to
the
Northwards
eyther
to
the
Eastward
by
Noua
Zemla
or
to
the
West
ward
by
cape
de
Paramantia
.
as
into
the
East
by
Noua
Zemla
,
or
to
the
West
by
cape
de
Paramantia
,
on
the
backe
side
of
the
North
part
of
the
tayle
of
America
,
other
wise
called
the
backe
side
of
Vacula
,
whiche
if
it
were
attempted
,
there
is
no
doubt
but
they
shoulde
finde
it
nauigable
eyther
to
the
East
parte
or
to
the
West
part
:
and
I
am
of
this
opinion
,
that
the
thing
moste
feared
in
making
their
discoucry
vnto
the
Northward
,
deserueth
not
so
greatly
to
be
feared
as
they
do
make
it
,
the
cause
why
they
are
so
loth
to
go
very
farre
vnto
the
Northwards
is
,
for
that
it
is
the
frosen
zone
,
but
my
opinion
is
,
that
in
sommer
tyme
it
is
not
to
be
feared
,
but
the
further
vnto
the
Northwardes
the
more
temperate
warme
,
by
meanes
of
the
long
continuaunce
of
the
Sunne
:
for
as
we
sée
by
common
experience
that
a
thing
once
being
made
warme
cannot
sodenly
be
made
cold
,
neither
is
there
doubt
of
any
great
cold
vntill
the
Sunne
be
vnto
the
Southwards
of
the
Equinoctiall
:
for
I
admit
that
a
ship
should
sayle
vnto
the
Northward
,
and
not
stay
vntill
the
North
pole
were
eleuated
.80
.
degrees
aboue
the
Horizon
,
Of
temperatenesse
the
pole
being
raysed
80.
degrees
I
do
thinke
then
they
should
find
it
very
temperate
and
warme
vnto
the
midle
of
September
,
for
that
by
the
space
of
.9
.
wéekes
togyther
(
that
is
to
say
from
the
.10
day
of
May
,
vnto
the
12.
day
of
Iuly
)
the
Sun
should
come
no
neerer
vnto
the
Horizon
due
North
than
.10
.
degrees
,
or
.30
.
degrees
vnto
the
South
part
aboue
the
Horizon
:
and
yet
it
is
possible
that
it
may
be
cold
there
vntill
the
ende
of
May
,
for
that
the
Sunne
must
haue
a
time
to
make
the
aire
warme
.
For
like
as
a
thing
once
béeing
colde
cannot
bée
sodaynely
made
warme
,
so
in
like
manner
a
place
being
once
made
warme
cannot
bée
sodainely
made
colde
.
And
furthermore
he
that
were
in
the
Latitude
of
.80
.
degrées
shoulde
haue
but
a
short
paralele
:
The
length
of
the
paralele
at
.80
.
degrees
is
but
.1250
.
english
leagues
.
for
the
whole
compasse
of
the
earth
and
Sea
going
East
and
West
too
come
rounde
about
to
that
place
agayne
in
the
same
paralele
is
but
.1250
.
english
leagues
,
euery
league
conteining
.3
.
englishe
miles
:
So
that
in
sayling
of
lesse
than
500.
or
.600
.
leagues
,
they
myght
sée
whether
it
were
nauigable
or
not
.
The
eleuenth
Chapter
doth
shew
how
you
shall
knowe
the
length
of
the
day
,
and
to
knowe
how
much
the
day
is
shortened
or
lengthened
by
the
Sunnes
declination
.
NOwe
I
thinke
it
conuenient
for
Seafaring
men
too
knowe
the
length
of
the
daye
in
anye
place
that
they
haue
occasion
too
go
vntoo
:
for
that
they
haue
occasion
too
trauell
intoo
all
the
climates
and
places
,
transporting
them selues
manye
tymes
quickly
from
one
place
vntoo
another
:
and
although
the
aunciente
writers
haue
appoynted
certayne
climates
,
and
other
late
writers
in
lyke
manner
haue
made
tables
very
exact
for
the
longest
or
shortest
day
in
anye
of
those
climates
,
and
other
places
,
according
to
the
eleuation
of
the
pole
:
yet
haue
they
not
opened
anye
waye
vntoo
them
in
gyuing
anye
order
for
them
to
knowe
when
the
days
is
an
houre
longer
or
shorter
,
whereby
they
might
at
all
times
knowe
the
length
of
the
day
,
which
notwithstanding
is
very
necessary
for
them
,
for
that
they
be
abroade
vnder
sayle
bothe
night
and
day
,
and
in
like
manner
for
that
they
must
kéepe
account
of
houres
and
times
exactly
,
How
necessary
it
is
for
a
Seafaring
man
to
know
the
length
of
the
day
.
Vnder
the
Equinoctial
the
day
is
always
.12
.
houres
long
.
The
pole
16.
degrees
44.
minuts
the
day
.13
.
houres
long
when
it
is
at
the
longest
▪
in
as
muche
as
they
ought
to
kéepe
an
account
of
the
shippes
way
:
wherefore
it
must
néedes
be
most
necessary
for
nauigation
,
to
knowe
the
true
time
of
the
Sunne
rising
and
setting
,
whiche
you
shall
knowe
by
this
meanes
:
first
this
is
not
vnknowne
,
that
vnder
the
Equinoctiall
the
Sunne
is
.12
.
houres
aboue
the
Horizon
,
and
.12
.
houres
vnder
the
Horizon
,
(
what
declination
soeuer
the
Sunne
hath
)
so
that
there
the
Sunne
ryseth
at
.6
.
of
the
clocke
and
setteth
at
.6
.
of
the
clocke
for
euer
.
And
where
the
pole
is
raysed
.16
.
degrees
and
.44
.
minutes
,
there
the
longest
day
is
.13
.
houres
,
(
the
Sunne
hauing
hir
greatest
declination
at
.23
.
degrées
.28
.
minutes
)
and
the
shortest
day
is
11.
houres
long
:
and
then
looke
when
the
Sunne
hath
declined
.23
.
degrées
and
a
halfe
eyther
backwards
or
forwardes
,
for
then
the
day
is
an
houre
longer
or
shorter
and
proportionably
:
when
the
Sunne
hath
declined
.11
.
degrées
.44
.
minutes
then
it
is
halfe
an
houre
longer
or
shorter
.
The
pole
30.
degrees
48.
minuts
the
longest
day
.14
.
houres
long
.
&c.
Moreouer
wher
the
pole
is
eleuated
.30
.
degrées
.48
.
minutes
,
there
the
longest
day
is
.14
.
houres
and
the
shortest
day
is
.10
.
houres
long
,
the
Sunne
then
rising
at
.5
.
of
the
clocke
and
setting
at
.7
.
of
the
clocke
,
and
there
when
the
Sunne
hath
declined
.11
.
degrees
and
.44
.
minutes
from
the
Equinoctiall
.
&c.
vnto
the
greatest
declination
,
then
the
day
is
an
houre
longer
or
shorter
,
The
pole
41.
degrees
23.
minutes
the
longest
day
.15
.
houres
long
.
and
when
the
Sunne
hath
declined
.5
.
degrées
.52
.
minutes
then
the
day
is
halfe
an
houre
longer
or
shorter
.
&c.
Furthermore
also
,
where
the
pole
is
raised
.41
.
degrées
.23
.
minutes
,
there
the
longest
day
is
.15
.
houres
,
and
the
shortest
.9
.
houres
long
,
(
the
Sunne
hauing
hir
greatest
declination
,
and
as
then
rising
at
.4
.
of
the
clocke
.30
.
minutes
,
and
setting
at
.7
.
of
the
clocke
.30
.
minutes
)
so
that
there
when
the
Sunne
hath
declined
.7
.
degrées
.49
.
minutes
from
the
Equinoctiall
,
the
day
shall
be
an
houre
longer
or
shorter
,
and
when
it
hath
declined
3.
degrées
.54
.
minutes
,
the
day
shall
be
halfe
an
houre
longer
or
shorter
.
&c.
And
furthermore
,
The
pole
raised
.49
.
deg.
1.
mi.
then
the
longest
day
is
16.
houres
long
.
where
the
Pole
is
raysed
.49
degrees
one
minute
,
there
the
longest
day
is
.16
.
houres
,
and
the
shortest
.8
.
houres
long
,
the
Sunne
rysing
at
.4
.
of
the
clocke
,
and
setting
at
.8
.
of
the
clocke
,
so
that
there
when
the
Sunne
hath
declyned
.5
.
degrées
.52
.
minutes
from
the
Equinoctiall
,
then
shall
the
daye
be
an
houre
longer
or
shorter
.
And
when
the
Sunne
hath
declyned
.2
.
degrees
.56
.
minutes
,
then
the
daye
shall
be
halfe
an
houre
longer
or
shorter
.
&c.
Yet
furthermore
,
where
the
Pole
is
raysed
.54
.
degrées
.30
.
The
pole
raised
.54
.
deg.
30.
mi.
then
the
longest
daye
is
17.
houres
long
.
minutes
,
there
the
longest
day
is
.17
.
houres
,
and
the
shortest
7.
houres
long
,
the
Sunne
then
rysing
at
.3
.
of
the
clocke
30.
minutes
,
and
setting
at
.8
.
and
.30
.
minutes
:
where
when
the
Sun
hath
declyned
.4
.
degrees
&
.41
.
minutes
from
the
Equinoctial
,
to
the
greatest
declynation
,
the
day
is
an
hour
longer
or
shorter
,
and
when
she
hath
declined
.2
.
degrées
.21
.
minuts
,
the
day
is
halfe
an
houre
longer
or
shorter
,
&c.
The
pole
raysed
.58
.
deg.
27.
mi.
the
longest
day
is
.18
.
houres
long
Where
also
the
Pole
is
raysed
.58
.
degrées
.27
.
minutes
,
there
the
longest
day
is
18.
houres
long
,
and
the
shortest
but
.6
.
and
there
when
the
Sunne
hath
declined
.3
.
degrées
.55
.
minuts
from
the
equinoctiall
,
then
the
day
shall
be
an
hour
longer
or
shorter
:
and
when
the
Sunne
hath
declyned
.2
.
degrées
lacking
.2
.
minuts
,
The
pole
raysed
.61
.
deg.
18.
mi.
the
longest
day
is
.19
.
houres
long
then
the
day
shall
be
halfe
an
houre
longer
or
shorter
.
Furthermore
also
,
wher
the
pole
is
raised
.61
.
degrees
.18
.
minuts
,
there
the
longest
day
is
.19
.
houres
long
,
and
the
shortest
but
.5
houres
:
then
shall
the
Sunne
ryse
at
.2
.
of
the
clocke
.30
.
minutes
,
and
set
at
.9
.
and
.30
.
minutes
,
and
there
when
the
Sun
hath
declined
.3
.
degrees
and
.21
minutes
from
the
Equinoctiall
,
then
shall
the
daye
be
an
houre
longer
or
shorter
,
&c.
Furthermore
,
where
the
Pole
is
raysed
.63
.
degrées
.22
.
The
Pole
63.
deg.
2.
mi.
the
longest
day
.20
.
hours
long
.
minutes
,
there
the
longest
daye
is
.20
.
houres
long
,
and
the
shortest
but
.4
.
houres
,
then
shall
the
Sunne
ryse
at
two
of
the
clocke
,
and
sette
at
tenne
of
the
clocke
,
and
when
the
Sunne
hath
declyned
two
degrées
,
and
fiftie
sixe
minutes
from
the
Equinoctiall
vnto
the
greatest
declination
,
then
shall
the
day
be
an
houre
longer
or
shorter
&c.
The
pole
raysed
.64
.
degrees
.49
minutes
the
longest
day
11.
houres
long
.
The
pole
65.
degrees
the
longest
day
.22
.
houres
long
.
Now
where
the
pole
is
raysed
.64
.
degrées
.49
.
minutes
,
there
the
longest
day
shall
be
.21
.
houres
long
,
and
the
shortest
but
.3
.
houres
:
And
there
when
the
Sun
hath
declined
but
.2
.
degrées
.36
.
minutes
from
the
Equinoctiall
vnto
the
greatest
declination
,
the
day
shall
be
an
houre
longer
or
shorter
.
Where
also
the
pole
is
raised
.65
.
degrées
,
there
the
longest
day
shall
be
.22
.
houres
and
the
shortest
but
.2
.
houres
long
,
and
when
that
the
Sunne
hath
declyned
but
.2
.
degrées
and
.20
.
minutes
from
the
Equinoctiall
&c.
then
the
day
shall
be
an
houre
longer
or
shorter
.
The
pole
66.
degrees
20.
minutes
the
longest
day
.23
.
houres
long
.
The
pole
66.
degrees
32.
minutes
then
the
Sun
shall
not
set
vnto
them
.
&c.
And
where
the
pole
is
raysed
.66
.
degrees
.20
.
minutes
the
longest
day
shall
be
.23
.
houres
long
and
the
shortest
but
one
houre
long
,
and
then
when
that
the
Sunne
hath
declined
but
.2
.
degrees
.8
.
minutes
,
then
the
day
shall
be
an
houre
longer
or
shorter
,
and
then
where
that
the
North
pole
is
raysed
.66
.
degrées
and
.32
.
minutes
,
there
it
is
24.
houres
long
,
for
that
when
the
Sunne
hath
hir
greatest
declination
vnto
the
Northwardes
,
then
at
midnight
you
shall
sée
halfe
the
Sunne
,
and
then
when
that
the
Sun
hathe
the
greatest
declination
vnto
the
South
parts
,
then
you
shal
sée
but
halfe
the
Sunne
at
noone
,
and
then
in
the
going
but
15.
miles
further
vnto
the
Northwards
,
that
is
,
but
one
quarter
of
a
degrée
,
The
Sun
clean
aboue
the
Horizon
due
North
and
not
to
appeare
aboue
the
Horizon
South
at
noone
.
then
the
Sunne
shall
be
cleane
aboue
the
Horizon
at
the
due
North
,
and
not
seene
vnto
the
South
at
noone
aboue
the
Horizon
,
the
Sunne
hauing
hir
greatest
declination
to
the
South
,
and
then
the
day
shal
be
an
hour
longer
or
shorter
when
that
the
Sunne
hath
declined
one
degrée
.57
minutes
from
the
Equinoctiall
and
so
foorth
vnto
the
greatest
declination
.
And
thus
much
haue
I
sayd
as
touching
the
length
of
the
daye
,
whereby
you
maye
knowe
at
all
times
the
true
length
of
the
day
in
any
Latitude
betwéene
the
Equinoctiall
and
the
eleuation
of
the
pole
at
.66
.
degrées
and
32.
minutes
,
by
knowing
howe
manye
degrées
the
Sunne
is
declined
,
and
that
you
may
know
on
euery
day
by
the
regiment
going
before
,
hauing
this
consideration
,
To
knowe
the
length
of
the
day
at
any
time
in
any
place
.
What
the
day
is
.
that
if
the
Sunne
being
vppon
the
Equinoctiall
,
and
hauing
no
declination
,
that
then
in
anye
Latitude
the
daye
is
alwayes
iust
.12
.
houres
long
.
And
you
must
note
this
,
that
it
is
called
the
day
from
the
rising
of
the
Sunne
vnto
the
setting
of
the
same
vnder
the
Horizon
and
not
from
day
light
vnto
day
light
.
For
before
the
Sun
rise
and
after
that
the
Sun
is
set
it
is
counted
for
no
parcell
of
the
day
but
it
is
called
the
day
light
.
And
furthermore
,
the
day
light
will
appeare
by
that
time
that
the
Sunne
doth
touch
the
.17
.
degrée
of
the
Horizon
before
the
Sunne
rising
,
and
also
the
day
light
will
not
be
cleane
gone
vntill
the
Sunne
be
more
than
.17
.
degrées
vnder
the
Horizon
:
for
as
you
may
perceiue
here
with
vs
at
London
that
when
the
Sunne
hath
hir
greatest
declination
vnto
the
Northwards
in
Iune
that
the
day
light
remaineth
all
night
,
for
that
the
Sunne
goeth
not
vnder
the
Horizon
,
but
.15
.
degrées
and
.2
.
minutes
.
The
twelfth
Chapter
is
of
the
North
Starre
.
AS
touching
the
North
Starre
I
say
but
little
thereof
for
that
it
is
sufficiently
declared
in
the
art
of
nauigation
,
the
Starre
hathe
Longitude
vnto
the
signe
of
Gemini
,
and
from
the
poles
of
the
world
in
the
signe
of
Aries
,
which
Star
standeth
vppon
the
tippe
of
the
tayle
of
vrsa
minor
or
little
Beare
,
and
hath
Latitude
from
the
line
Eclipticke
.66
.
degrées
30.
minutes
,
The
North
Starres
declination
.
and
declination
from
the
Equinoctiall
.96
.
degrées
or
there
aboutes
.
Héere
followeth
the
note
,
by
the
guardes
to
knowe
whether
the
North
Starre
be
aboue
the
pole
,
or
vnder
the
pole
,
and
howe
manye
degrées
and
minutes
.
&c.
North
The
Guardes
in
the
Northe
,
the
Starre
is
.3
.
degrees
vnder
the
Pole.
North
east
The
Gards
in
the
northeast
the
North
star
is
.3
.
degrees
and
a
halfe
vnder
the
Pole.
East
The
Guardes
in
the
East
the
Northe
Sarre
is
one
degree
and
a
halfe
vnder
the
Pole.
Sooth
east
The
Guardes
in
the
South
east
the
North
Star
is
halfe
a
degree
aboue
the
Pole.
Sooth
The
Guardes
in
the
Southe
the
North
Star
is
3.
degrees
aboue
the
Pole.
Sooth
west
The
Guardes
in
the
Southwest
the
Starre
is
.3
degrees
and
a
halfe
aboue
the
Pole.
West
The
Guards
in
the
West
the
star
is
one
degree
and
a
halfe
aboue
the
Pole.
North
west
The
Guardes
in
the
Northwest
the
Star
is
halfe
a
degree
vnder
the
Pole.
¶
The
thirtenth
chapter
dothe
shewe
you
by
the
sayling
vpon
the
quarter
of
your
compasse
,
in
how
far
sayling
you
do
rayse
a
degree
,
and
what
you
doe
departe
from
the
Meridian
,
and
in
the
ende
there
is
a
Demonstration
therof
.
FUrthermore
,
bycause
there
be
some
that
desire
to
knowe
the
alteration
of
a
point
:
to
this
ende
,
that
in
running
of
one
poynte
,
they
may
rayse
or
lay
a
degree
soner
in
one
than
in
an
other
:
as
in
the
sayling
south
or
North
,
In
going
southwards
you
rayse
the
equinoctiall
&
lay
the
pole
:
in
going
to
the
northwards
rayse
the
pole
and
lay
the
Equinoctiall
.
kéeping
one
Meridian
they
rayse
or
lay
the
Pole.
As
this
for
your
example
.
In
going
to
the
North
,
you
doe
rayse
the
Pole
and
lay
the
Equinoctial
:
Contrarywise
,
going
towardes
the
South
,
you
laye
the
Pole
,
and
rayse
the
Equinoctiall
.
But
in
sayling
or
going
East
or
Weast
,
you
do
neyther
alter
your
Pole
nor
Paralele
but
onely
your
Meridian
.
Whereas
in
sayling
of
any
other
poynte
,
you
doe
alter
both
your
Pole
and
Paralele
,
and
also
your
Meridian
.
Wherefore
I
will
open
vnto
you
(
in
sayling
vppon
one
of
the
quarters
of
the
compasse
)
what
euery
pointe
doth
rayse
or
lay
one
degrée
,
in
how
farre
sayling
,
and
howe
many
myles
you
be
departed
from
the
place
you
departed
from
,
and
what
space
you
be
departed
from
your
Meridian
.
Of
englishe
leagues
and
spanish
leagues
.
But
heere
is
one
thing
to
be
noted
(
as
I
suppose
)
in
the
most
part
of
cardes
they
allowe
for
euery
degree
,
but
.17
.
leagues
and
a
half
:
your
cards
be
most
commonly
made
in
Lishborne
,
in
Portugal
,
in
Spayne
,
or
else
in
Fraunce
.
But
as
I
take
it
,
we
in
England
should
allowe
.60
.
myles
to
one
degrée
:
that
is
,
after
.3
.
miles
to
one
of
our
Englishe
leagues
,
wherefore
.20
.
of
oure
English
leagues
shoulde
answere
to
one
degrée
,
for
that
.3
.
of
our
myles
will
not
make
one
of
their
leagues
.
And
bycause
they
make
their
acountes
by
their
leagues
in
the
cardes
and
not
by
oures
,
therefore
I
will
shew
you
by
our
Englishe
myles
.
An
English
myle
conteyneth
.1000
.
pases
,
A
mile
containeth
1000.
pases
and
euery
pase
.5
.
fote
and
euery
pase
.5
.
foote
,
and
euery
foote
.12
ynches
.
Nowe
some
thinke
that
apase
can
not
be
.5
.
foote
,
but
apase
Geometrical
is
.2
.
reasonable
steppes
,
for
it
can
not
be
apase
vntill
the
hinder
foote
be
remoued
forwards
,
and
those
2.
steppes
will
containe
.5
.
foote
,
and
so
maye
any
man
endure
to
goe
at
pleasure
.
But
nowe
to
our
purpose
.
For
the
sayling
of
one
quarter
of
the
compasse
,
this
is
to
be
noted
.
First
that
in
sayling
directly
south
or
North
,
you
do
raise
or
lay
the
Pole
a
degrée
in
.
60.
myles
going
.
A
degree
is
60.
miles
or
20.
englishe
leagues
.
In
the
altering
of
one
point
from
the
South
or
North
in
.61
.
myles
:
and
you
be
departed
from
the
lyne
of
East
and
Weast
,
or
the
Meridian
.12
myles
.
In
altering
of
the
seconde
poynt
you
rayse
a
degree
in
sayling
of
.65
.
myles
:
and
departe
from
your
Meridian
.25
.
myles
.
In
altering
of
the
.3
.
poynte
,
you
doe
rayse
or
lay
one
degrée
in
sayling
.72
.
myles
and
a
.9
.
part
:
and
are
departed
from
your
Meridian
.40
.
myles
.
A
note
to
knowe
in
how
far
sayling
you
do
rayse
or
lay
a
degree
in
the
sayling
by
any
one
point
of
the
compasse
,
Moreouer
in
altering
of
the
4.
point
,
you
do
raise
or
lay
a
degrée
in
the
going
of
.85
.
myles
:
&
depart
from
your
Meridian
.60
.
miles
.
In
altering
of
the
.5
.
point
or
winde
,
you
raise
a
degrée
in
the
sayling
of
.108
.
miles
:
and
depart
from
your
Meridian
.90
.
miles
.
In
sayling
by
the
6.
point
,
you
raise
or
lay
one
degrée
in
.157
.
miles
:
and
depart
from
your
Meridian
line
,
145.
miles
.
Last
of
all
,
in
sayling
by
the
.7
.
pointe
or
winde
,
you
doe
raise
a
degrée
in
going
of
.308
.
miles
,
and
depart
from
your
Meridian
line
.302
.
miles
,
and
after
this
manner
you
may
consider
of
the
other
three
quarters
of
the
compasse
.
But
if
you
require
to
knowe
the
raysing
or
laying
of
a
degrée
by
the
leagues
of
the
cardes
:
that
is
,
at
.17
.
leagues
and
a
halfe
:
then
reade
the
arte
of
Nauigation
,
and
there
shall
you
finde
howe
many
degrées
you
be
departed
fro
your
Meridian
,
and
also
from
the
place
that
you
departed
from
:
and
yet
that
serueth
for
no
other
place
but
onely
for
vnder
the
Equinoctiall
,
for
he
that
maketh
account
of
it
in
any
other
place
,
shall
be
deceiued
.
For
euer
as
you
goe
to
any
of
the
.2
.
Poles
,
your
degrées
be
stil
shorter
and
shorter
till
such
time
as
your
Meridian
méete
vnder
the
two
Poles
,
whereof
I
intreat
in
the
.16
.
Chapter
.
For
the
better
vnderstanding
of
the
things
aforesayd
,
looke
on
this
figure
folowing
.
¶
The
.14
.
Chapter
teacheth
to
know
how
far
any
lande
is
off
from
you
,
knowing
but
the
distance
betweene
any
two
places
:
whither
you
runne
along
by
the
lande
,
or
directly
to
the
shoare
or
otherwise
:
with
other
necessarie
things
.
FOr
that
I
know
it
very
necessarie
and
profitable
for
Seamen
,
to
knowe
howe
neare
or
farre
they
be
into
the
Sea
,
and
how
neare
to
the
lande
,
I
will
intreat
thereof
for
diuers
considerations
:
And
first
,
bicause
in
running
alongst
the
land
there
may
be
daunger
,
which
may
be
such
a
certaine
quantitie
into
the
sea
,
that
they
may
go
both
within
them
and
with
out
them
.
And
also
in
like
manner
,
for
that
being
at
one
distance
from
the
lande
,
the
land
may
rise
in
such
a
shape
or
fashion
,
whereas
being
nearer
,
the
lande
may
rise
in
another
forme
or
fashion
:
for
being
far
off
,
you
shal
sée
the
hils
within
the
lande
,
and
being
neare
,
the
hilles
or
cliffes
neare
vnto
the
Sea
coast
maye
take
awaye
the
sight
of
the
lande
within
.
A
note
for
the
land
rysing
in
diuers
shapes
or
fashions
.
Furthermore
also
,
it
is
very
necessarie
to
know
in
what
fashion
the
lande
doth
rise
vpon
diuers
points
of
the
compasse
,
as
ofte
as
the
fashion
of
the
lande
doth
alter
,
and
to
note
it
in
some
booke
for
remembrance
.
First
by
what
pointes
of
the
compasse
,
To
knowe
how
far
the
lande
is
from
you
.
Where
two
lands
be
but
one
point
asunder
.
then
the
fashion
,
&
last
at
how
far
off
.
&c.
For
knowledge
how
farre
off
you
be
from
the
land
,
you
may
haue
this
helpe
,
if
there
be
any
.2
.
places
by
the
Sea
coast
,
whereof
you
knowe
the
distance
,
howe
many
leagues
or
miles
the
one
is
from
the
other
.
In
going
alongst
the
coast
you
shall
set
them
vp
with
your
compasse
,
and
when
you
are
thwart
of
them
,
if
they
be
but
one
point
asunder
,
you
shal
be
.5
.
times
the
distance
betweene
them
from
the
lande
or
shoare
.
If
the
two
places
be
two
pointes
asunder
,
then
the
distance
vnto
the
shore
shall
be
two
times
and
a
halfe
the
distance
.
If
.3
.
points
asunder
,
then
the
distance
vnto
the
shoare
shall
be
once
the
distance
and
a
halfe
.
If
.4
.
pointes
asunder
,
the
same
distance
shall
be
betwéene
you
and
the
shoare
,
that
is
betweene
the
two
markes
.
If
.5
.
pointes
asunder
,
then
is
it
vnto
the
shore
but
.2
.
third
partes
of
the
distance
betwéen
the
.2
.
places
.
If
.6
.
points
asunder
,
(
you
being
thwart
of
one
of
them
)
then
shall
the
distance
vnto
the
shore
be
,
not
halfe
the
distance
between
the
.2
.
places
.
And
in
al
these
cases
before
rehearsed
,
the
one
place
must
be
thwarte
of
you
,
the
other
must
be
a
head
or
sterne
of
you
:
and
so
it
is
exacte
and
true
.
As
for
ensample
this
:
I
(
going
alongest
by
any
coaste
)
do
know
before
hand
how
the
one
place
doth
beare
from
the
other
,
besides
this
also
I
know
the
distance
,
that
is
to
say
,
howe
many
leagues
they
be
a
sunder
.
As
for
ensample
,
the
.2
.
places
assigned
beare
Easte
and
West
the
one
from
the
other
,
I
then
(
knowing
that
they
be
3.
leagues
asunder
)
when
I
haue
brought
one
of
the
places
South
or
north
of
me
,
do
set
them
with
my
compasse
,
the
one
being
North
of
me
,
and
the
other
bearing
North
and
by
cast
that
is
one
point
asunder
:
Now
the
distance
vnto
the
shore
,
Of
.2
.
places
to
be
one
point
asunder
.
being
.5
.
times
the
distance
betwéen
the
.2
.
places
which
be
.3
.
leagues
asunder
,
I
knowe
the
shoare
to
be
.15
.
leagues
from
me
,
which
(
if
the
places
were
but
one
league
asunder
)
should
be
but
.5
.
leagues
from
the
shoare
.
To
be
two
points
asunder
.
Furthermore
if
the
places
be
.2
.
pointes
asunder
,
that
is
to
say
,
the
one
North
,
and
the
other
North
North
,
then
shall
the
distance
vnto
the
shoare
be
7.
leagues
and
a
halfe
from
me
.
Wheras
if
the
.2
.
places
were
but
a
league
asunder
,
it
shuld
be
but
.2
.
leagues
&
a
half
vnto
the
shore
.
And
furthermore
,
if
the
places
be
.3
.
points
asunder
,
3.
pointes
asunder
.
that
is
to
say
,
the
one
North
,
and
the
other
Northeast
&
by
north
,
the
distance
vnto
the
shore
shal
be
.4
.
leagues
&
a
half
:
wheras
if
the
.2
.
places
were
but
one
league
asunder
,
vnto
the
shore
it
should
be
but
a
league
&
a
half
.
If
.4
.
points
asunder
,
4.
pointes
asunder
.
that
is
to
say
,
if
the
one
place
be
due
North
,
and
the
other
place
Northeast
,
than
it
is
vnto
the
shore
.3
.
leagues
iust
.
If
but
one
league
asunder
then
but
one
league
vnto
the
shore
.
5.
pointes
asunder
.
Moreouer
if
the
2.
places
be
.5
.
points
asunder
,
that
is
to
say
,
the
one
north
and
the
other
Northeast
&
by
East
,
then
the
distance
vnto
the
shore
shall
be
but
.2
.
leagues
:
whereas
if
the
.2
.
places
were
but
one
league
asunder
vnto
the
shore
shuld
be
but
.2
.
miles
.
Last
of
al
,
if
the
.2
.
places
be
.6
.
pointes
asunder
,
that
is
to
say
,
6.
pointes
asunder
.
the
one
north
,
and
the
other
east
northeast
,
then
it
shall
not
be
a
league
and
a
halfe
vnto
the
shore
.
&c.
But
if
you
come
directly
to
the
land
wards
,
hauing
no
cause
to
be
thwart
of
none
of
those
known
places
,
then
to
know
how
far
you
be
from
the
lande
you
must
do
as
is
by
the
places
before
spoken
of
.
For
if
you
go
in
due
north
the
one
place
being
north
&
by
west
,
&
the
other
north
and
by
east
:
then
(
the
.2
.
places
being
3.
leagues
asunder
)
you
shall
be
.7
.
leagues
and
a
half
from
the
shore
:
Of
going
or
sayling
right
into
the
shore
.
so
that
if
you
runne
into
the
shore
due
north
vntill
they
be
.4
.
poynts
asunder
,
that
is
to
say
,
the
one
north
northwest
,
and
the
other
north
northeast
,
then
it
shall
be
vnto
the
shore
.3
.
leagues
and
3.
quarters
.
And
furthermore
,
you
still
running
in
due
north
,
till
the
.2
.
places
be
.6
.
pointes
asunder
,
that
is
to
say
,
the
one
place
to
be
northweaste
and
by
north
,
and
the
other
place
to
be
northest
&
by
north
,
the
distance
vnto
the
shore
shall
be
.2
.
leagues
and
a
quarter
.
And
again
,
if
you
runne
in
due
north
,
vntill
they
be
.8
.
pointes
asunder
,
that
is
to
say
,
the
one
place
northweast
,
and
the
other
northeast
:
then
the
distance
vnto
the
land
or
shore
shall
be
but
half
the
distance
betwéen
the
.2
.
places
,
that
is
,
but
one
league
and
a
half
.
Lastly
,
if
you
run
to
the
land
due
north
,
vntill
the
.2
.
places
be
.10
.
points
asunder
,
that
is
to
say
,
the
one
place
northweast
and
by
weast
,
and
the
other
northeast
and
by
east
,
then
the
distance
vnto
the
shore
shall
be
but
one
third
part
of
the
distance
betweene
the
.2
.
places
,
that
is
,
but
one
league
from
the
land
.
&c.
Thus
much
haue
I
saide
as
touching
the
bearing
of
the
lande
from
you
,
by
the
points
of
the
compasse
,
to
know
the
distance
or
how
farre
the
land
is
of
:
which
is
very
necessary
for
Seamen
to
know
for
diuers
considerations
as
I
sayd
before
.
A
way
to
knowe
how
one
hedland
beareth
of
another
.
If
now
therefore
you
knowe
not
howe
one
headland
doth
beare
from
another
,
doe
thus
:
In
running
alongst
the
coast
,
when
you
sée
the
appearing
of
any
lande
one
before
another
,
set
them
with
your
compasses
,
and
looke
how
they
beare
from
you
,
by
what
point
of
the
compasse
,
and
so
shall
you
know
iustly
how
the
one
lande
doth
beare
or
lye
from
the
other
.
And
by
this
order
you
may
correct
your
plats
,
by
doing
this
,
as
often
as
you
sée
.2
.
notable
places
togither
:
as
Ilands
,
rocks
,
headlands
,
mouthes
of
hauens
,
sandes
,
or
what
soeuer
else
be
worthy
of
noting
,
this
done
,
as
often
as
you
do
sée
them
togither
,
set
them
with
your
compasse
,
&
that
wil
shew
you
most
certainly
,
that
so
they
do
beare
the
one
from
the
other
.
You
may
know
the
distance
in
like
maner
betwéene
them
,
if
you
knowe
your
ships
way
,
as
thus
,
when
you
first
sée
any
.2
.
places
togither
,
as
.2
.
headlands
,
To
knowe
the
distance
at
the
Sea
betweene
any
.2
.
headlandes
.
or
.2
.
Ilands
,
hauing
set
them
with
your
compasse
,
and
knowing
how
the
one
beareth
from
the
other
then
,
for
that
you
wil
not
come
neare
vnto
them
,
you
do
hale
off
from
the
land
,
vntill
that
you
haue
brought
your selfe
farre
inough
off
at
youre
discretion
,
and
when
you
be
thwart
of
the
firste
headland
,
set
the
other
land
,
and
consider
howe
it
●eareth
from
you
:
then
recken
your
ships
way
,
how
many
leagues
the
shippe
might
goe
vntill
you
come
thwarte
of
the
other
headlande
,
kéeping
your
course
along
as
the
.2
.
headlandes
beare
,
and
so
shall
you
both
knowe
the
distance
betwéen
the
.2
.
places
,
and
also
how
farre
you
be
off
from
them
.
In
like
maner
,
To
knowe
howe
far
it
is
vnto
the
land
an
other
way
.
hauing
consideration
of
the
distance
betwéene
the
other
places
that
you
haue
obserued
both
by
your
compasse
and
also
by
the
shippes
way
,
you
may
know
how
farre
it
is
to
the
shore
,
going
right
to
the
lande
wardes
,
by
your
crosse
staffe
,
although
you
knowe
not
the
distance
betwéen
any
two
places
.
As
thus
:
take
the
widenesse
betwéen
any
two
places
with
your
crosse
staffe
,
bearing
right
to
the
land
wardes
,
and
then
remoue
the
crosse
staffe
or
transitorie
halfe
the
length
of
the
transitorie
,
that
is
to
saye
,
the
end
next
vnto
you
,
and
then
by
running
in
till
the
.2
.
ends
of
the
transitorie
doe
agrée
with
the
two
markes
,
you
shall
be
halfe
way
to
the
shore
:
then
looke
howe
farre
the
shippe
hath
gone
in
that
time
,
for
the
same
distance
is
vnto
the
land
from
the
ship
.
But
if
you
remoue
the
transitory
but
a
quarter
the
length
of
the
transitorie
to
youwards
,
then
at
the
place
wher
the
end
of
the
transitorie
doth
agrée
with
the
.2
.
markes
,
shall
be
one
quarter
of
the
distance
betwéene
the
shore
&
you
at
the
first
obseruation
:
&
it
shall
be
.3
.
times
that
quantitie
vnto
the
shore
.
&c.
And
to
know
the
ships
way
,
To
knowe
the
shippes
way
.
some
do
vse
this
which
(
as
I
take
it
)
is
very
good
:
they
haue
a
pece
of
wood
&
a
line
to
vere
out
ouer
borde
,
with
a
small
line
of
a
great
lengthe
whiche
they
make
fast
at
one
ende
,
and
at
the
other
ende
and
middle
,
they
haue
a
piece
of
a
line
which
they
make
fast
with
a
small
thred
to
stande
like
vnto
a
crowfoote
:
for
this
purpose
,
that
it
should
driue
a
sterne
as
fast
as
the
shippe
doth
go
away
from
it
,
alwayes
hauing
the
line
so
ready
that
it
goeth
out
as
fast
as
the
shippe
goeth
.
In
like
manner
they
haue
either
a
minute
of
an
houre
glasse
,
or
else
a
knowne
part
of
an
houre
by
some
number
of
wordes
,
or
suche
other
like
,
so
that
the
line
being
vexed
out
and
stopt
iuste
with
that
time
that
the
glasse
is
out
,
or
the
number
of
wordes
spoken
,
which
done
,
they
hale
in
the
logge
or
piece
of
woode
againe
,
and
loke
howe
many
fadome
the
shippe
hath
gone
in
that
time
:
that
being
knowne
,
An
englishe
league
.2500
fadome
.
A
Spanish
league
.2857
.
fadome
.
what
part
of
a
league
soeuer
it
be
,
they
multiplie
the
number
of
fadomes
,
by
the
portion
of
tyme
or
part
of
an
houre
.
Whereby
you
may
knowe
iustly
howe
many
leagues
and
partes
of
a
league
the
ship
goeth
in
an
houre
.
&c.
For
an
Englishe
league
doth
containe
.250
.
fadome
.
And
a
spanish
or
portingale
league
doth
contain
.2857
.
fadomes
.
&c.
¶
The
fiftenth
Chapter
or
rule
treateth
of
the
Longitude
.
&c.
NOwe
some
there
be
that
be
very
inquistiue
to
haue
a
way
to
get
the
longitude
,
but
that
is
to
tedious
.
For
this
they
must
consider
,
that
the
whole
frame
of
the
firmament
is
caried
round
from
the
east
to
the
west
in
.24
.
hours
,
so
as
ther
remaineth
neither
light
nor
marke
,
but
goeth
rounde
,
sauing
only
the
.2
.
poles
of
the
world
,
and
these
.2
.
stand
alwayes
fast
.
But
(
as
I
sayd
before
in
the
.9
.
rule
)
of
him
that
going
South
or
North
doth
raise
or
lay
the
pole
,
Altering
the
time
of
rising
and
setting
of
the
lights
.
and
in
like
case
of
the
Equinoctiall
altering
his
paralele
,
and
causing
the
light
of
the
firmament
to
alter
the
time
of
their
shining
or
abiding
aboue
our
Horizon
:
so
he
that
goeth
directly
east
or
weast
,
doth
neither
raise
nor
lay
the
pole
,
so
that
still
the
lights
of
the
firmament
doth
make
one
maner
of
arch
according
to
their
latitude
or
declination
:
but
the
going
East
or
Weast
doth
alter
the
Meridian
,
causing
the
planets
to
haue
their
aspects
at
another
hour
or
time
,
altering
the
time
of
the
changes
of
the
moone
&
also
the
time
of
the
Eclipses
:
Altering
the
aspects
.
which
is
necessary
for
all
trauellers
by
Sea
or
by
lande
.
Therefore
I
thought
it
néedefull
to
be
spoken
of
:
for
as
countries
haue
Latitude
from
the
pole
so
in
like
manner
they
haue
appointed
Longitude
.
Now
therfore
you
may
get
the
Latitude
with
instrumentes
,
Of
Latitude
and
Longitude
.
but
the
Longitude
you
must
bring
from
another
place
,
which
you
can
do
but
with
a
globe
or
else
a
mappe
or
card
,
and
then
you
must
measure
from
the
Meridian
of
the
Canarie
Ilands
,
otherwise
called
the
fortunate
Ilandes
.
And
in
oure
Latitude
of
London
euery
.555
.
miles
whiche
conteineth
.15
.
15.
degrees
is
an
houre
of
time
and
at
London
it
is
.555
.
miles
.
degrées
wil
aunswer
to
one
houre
of
time
:
and
vnder
the
Equinoctiall
.900
.
miles
to
.15
.
degrées
:
the
degrées
be
as
long
as
the
degrées
of
Latitude
,
but
towards
the
pole
fewer
and
fewer
till
they
come
to
nothing
vnder
the
.2
.
poles
.
And
nowe
.37
.
miles
which
are
at
London
,
will
aunswer
to
one
degree
of
our
Latitude
at
.51
.
or
.52
.
degrées
of
eleuation
of
the
pole
,
but
the
cause
why
the
Longitude
was
fetched
from
the
Canarie
Ilands
I
know
not
,
but
it
was
as
I
suppose
,
Longitude
beginneth
at
the
Cannary
Ilands
bycause
it
was
then
the
westermost
place
then
knowen
:
for
Ptholemeus
was
the
firste
that
ordeyned
that
rule
.
Nowe
furthermore
bycause
you
shall
knowe
the
better
,
I
would
draw
out
certain
of
the
chéefest
places
about
thys
Realme
of
England
,
both
their
Longitude
and
Latitude
,
by
which
you
shall
know
what
manner
of
Arch
the
Sun
with
the
other
lights
dothe
make
,
and
also
by
the
Longitude
you
may
know
at
what
time
the
Moone
with
any
of
the
Planets
doth
make
any
aspect
.
Besides
this
,
the
Eclipses
of
the
Sun
or
Moone
,
with
the
chaunge
,
quarters
,
and
full
Moone
,
by
a
true
and
exact
Ephemerides
through
all
England
to
knowe
the
verie
true
houre
and
minute
of
the
time
of
the
diameter
:
To
know
the
true
time
of
the
aspects
of
the
Mone
.
considering
for
what
Longitude
or
place
your
Almanacke
was
made
.
And
now
to
get
the
Longitude
,
you
may
do
it
at
the
time
of
the
Eclipse
of
the
Moone
,
for
that
the
Eclipses
of
the
Moone
be
generall
,
so
that
she
being
aboue
your
Horizon
in
any
place
vpon
the
superficiall
parts
of
the
earth
or
Sea
,
considering
(
as
I
said
before
)
by
your
Almanacke
,
at
that
time
when
the
Eclipse
should
happen
,
the
very
houre
and
minute
,
knowing
also
the
place
that
your
Almanacke
was
made
for
:
that
done
,
according
to
this
rule
,
with
a
precise
instrument
you
shall
take
the
alteration
of
the
time
with
the
houre
and
minute
of
the
Eclipse
.
And
furthermore
you
might
know
your
Longitude
with
the
Ephemerides
,
by
the
coniunction
of
the
Moone
with
other
fixed
Starres
,
if
it
were
not
for
one
great
infirmitie
,
and
that
is
the
paralex
of
the
Moone
,
whiche
the
semidiametre
of
the
earth
doth
cause
,
by
the
néerenesse
of
the
Moone
vnto
the
earth
:
wherefore
I
woulde
not
any
Sea
men
shoulde
be
of
that
opinion
that
they
mighte
get
anye
Longitude
with
instrumentes
.
The
Longitude
is
not
to
be
gotten
with
instruments
on
the
Sea
.
Therefore
let
no
Sea
men
trouble
themselues
with
anye
such
rule
,
but
(
according
to
their
accustomed
manner
)
let
them
kéepe
a
perfite
accompt
and
reckening
of
the
way
of
their
shippe
,
whether
the
shippe
goeth
to
lewards
or
makith
hir
way
good
,
considering
alwayes
what
thinges
be
against
them
or
with
them
:
as
tides
,
currents
,
winds
,
or
such
like
.
As
for
the
rule
of
Longitude
,
it
followeth
in
the
next
Chapter
.
The
.16
.
Chapter
sheweth
how
many
miles
will
aunswer
to
one
degree
of
Longitude
,
in
euery
seuerall
Latitude
,
betweene
the
Equinoctiall
and
any
of
the
a
poles
:
with
the
demonstration
for
that
purpose
:
and
the
diuersities
of
aspectes
of
the
Moone
.
NOw
by
this
rule
shal
I
teach
you
how
many
miles
wil
answer
to
one
degree
,
for
euery
seuerall
Latitude
to
any
of
the
.2
.
poles
either
articke
or
antarticke
.
And
first
,
vnder
the
Equinoctiall
(
the
.2
.
poles
being
euen
with
the
Horizon
)
60.
miles
do
answer
to
one
degrée
,
as
I
said
in
the
.15
.
rule
.
And
now
shall
follow
the
rest
.
Where
the
poles
be
raised
.21
.
degrées
.56
.
miles
belongeth
to
one
degrée
of
Longitude
.
Now
the
poles
being
raysed
.29
.
degrées
.52
.
miles
do
answer
to
one
degrée
.
The
poles
being
raised
.36
.
degrées
.48
.
miles
do
answer
to
one
degrée
.
The
pooles
.42
.
degrées
raysed
.44
.
miles
goeth
to
one
degrée
of
Longitude
.
The
Pole
raised
.57
.
degrees
.32
.
miles
to
one
degrée
.
The
Pole
raised
.62
.
degrées
.28
.
miles
to
one
degrée
.
The
Pole
raised
.66
.
degrées
.24
.
miles
to
one
degrée
.
The
Pole
raysed
.70
.
degrées
.20
.
miles
to
one
degrée
.
The
Pole
raysed
.74
.
degrées
.16
.
miles
to
one
degrée
.
The
Pole
raysed
.78
.
degrées
.12
.
miles
to
one
degrée
.
The
Pole
raysed
.82
.
degrées
.8
.
miles
to
one
degrée
.
The
Pole
raysed
.86
.
degrées
.4
.
miles
to
one
degrée
.
The
Pole
being
raysed
to
the
hyest
at
.90
.
degrées
(
being
then
your
Zenith
)
there
all
the
Meridians
méete
.
A
demonstration
to
knowe
howe
many
miles
will
answere
vnto
a
degree
in
Longitude
in
euery
seueral
latitude
betwene
the
equinoctial
and
any
of
the
two
Poles
This
demonstration
doth
shewe
you
,
howe
manye
myles
wyll
aunswer
to
a
degree
,
for
euery
seueral
Altitude
of
the
Pole
in
the
halfe
circle
is
marked
the
eleuation
of
the
Pole
:
in
the
lyne
of
Diameter
,
or
right
line
,
is
marked
the
miles
answering
euerye
degrée
:
and
to
know
howe
many
miles
wil
aunswer
vnto
one
degrée
,
first
lay
the
thréed
vnto
the
eleuation
of
the
pole
that
you
do
require
the
number
of
myles
vnto
,
one
degree
:
&
then
the
iust
length
of
the
threde
being
marked
,
lay
the
threde
vnto
the
line
of
Diameter
,
or
right
line
,
whiche
is
the
line
of
miles
,
and
then
you
shall
see
at
that
place
is
the
number
of
miles
vnto
one
degrée
&c.
Now
you
must
consider
that
euery
houre
of
time
in
the
chaunging
of
the
Moone
or
of
the
Eclipses
you
must
allow
.15
.
degrees
,
15.
degrees
answereth
vnto
an
houre
of
time
.
euery
degree
in
miles
as
you
do
sée
in
your
Latitude
of
the
countrie
,
as
thus
:
those
places
that
be
to
the
Westwards
of
your
towne
,
place
or
countrie
by
.15
.
degrées
the
Moone
shall
chaunge
rather
with
them
than
with
you
by
one
houre
,
bycause
that
they
shall
touch
your
Meridian
before
theirs
by
one
houre
.
And
if
the
towne
or
place
be
to
the
Eastwards
of
you
by
.15
.
degrées
,
then
shall
the
Moone
chaunge
rather
with
you
than
with
them
by
one
houre
,
as
for
an
ensample
thus
,
with
vs
at
London
,
the
.xx.
day
of
May
1574.
the
Moone
shall
chaunge
at
.12
.
of
the
clocke
at
Noone
.5
.
minutes
.
Now
to
the
Westwards
as
farre
as
Lishburne
in
Portingall
the
Moone
shall
chaunge
that
same
day
at
.11
.
of
the
clocke
.8
minutes
,
the
Longitude
being
thereof
from
the
Canarie
Ilands
.5
.
degrées
.36
.
minutes
.
Now
to
the
Eastwards
,
that
same
day
at
noone
,
the
Moone
shall
chaunge
at
one
of
the
clocke
.12
.
minutes
,
bicause
that
they
haue
Longitude
.36
.
degrées
.40
.
minutes
from
the
Cannary
Ilands
and
then
by
this
accompt
.7
.
degrées
and
a
halfe
will
aunswer
to
halfe
an
houre
,
and
then
.3
.
degrées
and
a
quarter
will
make
a
quarter
of
an
houre
,
and
then
.9
.
miles
and
a
quarter
will
make
one
minute
of
time
with
vs
at
London
in
our
Latitude
,
so
by
this
rule
you
may
knowe
at
what
time
and
minute
the
Eclipses
or
chaunges
of
the
Moone
doe
happen
,
knowing
for
what
place
your
Almanacke
was
made
,
for
commonly
we
heere
in
England
do
make
them
for
the
cittie
of
London
.
Thus
muche
haue
I
saide
as
touching
the
true
time
of
the
chaunge
of
the
Moone
,
for
that
some
people
(
as
I
haue
sayde
before
in
the
.3
.
chapter
)
do
contemne
and
saye
,
why
do
they
not
giue
or
make
rules
for
euer
to
knowe
the
houre
and
minute
of
the
chaunge
,
full
,
To
knowe
the
true
time
of
the
change
&
quarters
of
the
moon
is
a
question
astronomicall
,
geometricall
and
cosmographicall
.
and
quarters
of
the
Moone
?
And
yet
they
be
vtterly
voyde
of
any
knowledge
in
the
Mathematicall
Science
,
whereby
they
might
knowe
the
true
time
of
the
chaunge
of
the
Moone
:
For
it
is
a
question
Astronomicall
,
to
know
the
Moones
motion
:
a
question
Geometricall
,
to
know
the
true
time
of
the
aspectes
,
or
measure
betwéene
the
Sunne
and
the
Moone
:
and
thirdly
,
it
is
a
question
Cosmographicall
,
to
knowe
the
true
Longitude
of
the
place
he
is
in
,
at
the
time
when
the
Moone
chaungeth
.
&c.
Nowe
foloweth
the
next
rule
whiche
shall
treate
of
Longitude
and
Latitude
.
¶
The
.17
.
Chapter
or
rule
treateth
of
the
Longitude
and
Latitude
of
certaine
of
the
most
notable
places
in
Englande
:
and
also
howe
long
the
Moone
doth
change
at
the
one
towne
before
the
other
:
with
the
diuersitie
of
the
longest
day
in
Sommer
,
from
South
Hampton
to
the
Northermost
parte
in
Scotland
.
NOwe
in
this
rule
foloweth
the
Longitude
and
Latitude
of
the
most
part
of
the
principall
places
in
England
.
The
Southermost
place
in
England
,
is
the
Lizarde
in
Cornwal
:
the
Longitude
thereof
is
.15
.
degrées
.5
.
minutes
:
the
Latitude
50.
degrees
.45
.
minutes
.
S.
Michaels
Mount
hath
in
Longitude
.14
.
degrees
.20
.
minutes
:
in
Latitude
.51
.
degrees
.6
.
minutes
.
Falmouth
hath
Longitude
.15
.
degrees
.12
.
minutes
:
Latitude
.51
.
degrees
.0
.
minuts
.
Plimmouth
hath
Longitude
19.
degrees
.7
.
minutes
:
Latitude
.51
.
degrées
.1
.
minute
.
South
Hampton
Longit.
18.
degr.
52.
minuts
:
Latitude
.51
.
degr.
2.
mi.
Portsmouth
Longitude
.19
.
degrees
.7
.
minutes
:
Latitude
.51
degrées
.3
.
minutes
.
Rye
Longitude
.20
.
degrées
.22
.
minutes
:
Latitude
.51
.
degrees
.5
.
minutes
.
Douer
Longitude
.21
.
degr.
40.
minutes
:
Latitude
.51
.
degrées
.26
.
minutes
.
Canterburie
Longitude
.21
.
degrées
.25
.
minutes
:
Latitude
.51
.
degr.
28.
mi·
Sandwich
Longitude
.21
.
degr.
38.
minuts
:
Latitude
.51
.
degr.
29.
minutes
.
London
Longitude
.15
degr.
54.
minutes
:
Latitude
.51
.
degr.
32.
minuts
.
Grauesend
Longitude
.20
.
degr.
14.
minuts
:
Latitude
.51
.
degr.
31.
minuts
.
Bristowe
Longitude
17.
degr.
8.
minutes
:
Latitude
.51
.
degr.
42.
minuts
.
Haruarde
Longitude
.17
.
degr.
0.
minutes
:
Latitude
.52
.
degr.
2.
minuts
.
S.
Dauids
head
Longitude
.15
.
degr.
5.
minuts
:
Latitude
.52
.
degr.
15.
minuts
.
Oxford
Longitude
.18
.
degr.
59.
minut
:
Latitude
.51
.
degr.
50.
minuts
.
Cambridge
Longitude
.20
.
degr.
6
minuts
:
Latitude
.52
.
degr.
0.
minuts
.
Norwich
Longitude
21.
degr.
20.
minuts
:
Latitude
.52
.
degr.
10.
minuts
.
Lincolne
Longitude
.20
.
degr.
28.
minuts
:
Latitude
.52
.
degr.
6.
minuts
.
Weshpoole
Longitude
.16
.
degr.
40.
minutes
:
Latitude
.53
.
degr.
6.
minuts
.
Westchester
Longitude
.15
.
degr.
29.
minuts
:
Latitude
.53
.
degr.
34.
minuts
.
Hull
Longitude
.20
.
degr.
54.
minuts
:
Latitude
.53
.
degr.
57.
minuts
.
Yorke
Longitude
.20
degr.
0.
minuts
:
Latitude
.54
.
degr.
1.
minute
.
Cockermouth
Longitude
.17
.
degr.
0.
minuts
:
Latitude
.55
degr.
8.
minuts
.
Carlyle
Longitude
.17
.
degr.
48.
minuts
:
Latitude
.55
.
degr.
2.
minuts
.
Newcastle
Longitude
.20
.
degr.
31.
minuts
:
Latitude
.55
.
degr.
0.
minuts
.
Barwicke
Longitude
.20
.
degr.
48.
minuts
:
Latitude
.56
.
degr.
23.
minuts
.
Edenborow
in
Scotlande
,
Longitude
.19
.
degr.
50.
minuts
:
Latitude
.57
.
degr.
0.
minuts
.
Now
by
the
Longitude
&
Latitude
you
may
know
the
length
of
the
day
both
in
Sommer
and
in
Winter
,
with
the
perfit
houre
and
minute
of
the
changes
of
the
Moone
,
and
how
long
the
Moone
doth
change
at
one
town
before
another
,
through
the
whole
realme
of
England
.
And
now
in
order
as
I
haue
begon
before
,
I
will
shewe
you
the
distance
of
time
.
To
know
the
diuersitie
of
the
time
of
the
chaunge
of
the
moon
through
all
England
.
And
first
at
S.
Michaels
Mount
,
the
Moone
changeth
rather
than
at
London
by
25.
minuts
.
Rather
at
Falmouth
than
at
London
by
.20
.
mi.
At
Plimmouth
rather
than
at
London
by
.18
.
min.
At
South
Hampton
rather
than
at
London
by
5.
minuts
.
At
Portsmouth
rather
than
at
Lon.
by
.4
minuts
.
At
Rye
later
than
at
London
by
one
minute
and
.
½
.
At
Douer
later
than
at
London
by
.6
.
minutes
and
more
.
At
Canterburie
later
than
at
London
by
.5
.
minutes
.
At
Sandwich
later
than
at
London
by
.6
.
minuts
.
Grauesend
later
than
at
London
by
one
minute
and
a
halfe
.
Bristow
rather
than
at
London
by
.11
.
minutes
.
Haruard
rather
than
at
London
by
12.
minutes
.
Saint
Dauids
head
rather
than
at
London
by
19.
minutes
.
Oxforde
rather
than
at
London
by
.4
.
minuts
.
Cambridge
later
than
at
London
by
.
⅔
.
partes
of
a
minute
.
Norwich
later
than
at
London
by
.5
.
minuts
and
more
.
Lincolne
later
than
at
London
by
.2
.
minutes
.
Welshpoole
rather
than
at
London
by
.16
.
minutes
.
Westchester
rather
than
at
London
by
.10
.
minutes
.
Hull
later
than
at
London
by
.4
.
minutes
.
Yorke
later
than
at
London
by
.
¼
.
of
a
minute
.
Cockermouth
rather
than
at
London
by
.12
.
minutes
.
Carelyle
rather
than
at
London
by
.9
.
minutes
.
Newecastle
later
than
at
London
by
.2
.
minutes
.
Barwicke
later
than
at
London
by
thrée
minutes
and
more
.
The
cause
why
that
it
is
called
the
chaunge
of
the
Moone
,
is
for
that
the
Moone
chaungeth
the
sydes
of
the
Sunne
,
for
before
the
change
the
Moone
is
on
the
West
side
of
the
Sun
:
and
after
the
chaunge
,
the
Moone
is
on
the
Easte
side
of
the
Sunne
.
&c.
Nowe
in
like
manner
,
I
thinke
it
necessarie
to
be
spoken
of
the
difference
of
the
longest
day
in
Sommer
,
in
euery
seuerall
Latitude
,
through
the
whole
Realme
of
England
from
the
Southermost
part
,
called
the
Lizard
,
to
the
Northermost
part
in
Scotlande
:
and
this
is
called
the
day
,
from
the
Sunne
rysing
or
appearing
aboue
the
Horizon
.
To
know
the
length
of
the
longest
day
through
all
England
&
Scotlande
.
Firste
at
South
Hampton
the
longest
daye
is
.16
.
houres
long
.26
.
minutes
,
the
shortest
.7
.
houres
.54
.
minutes
.
At
London
.16
.
houres
.30
.
minutes
longest
.7
.
houres
.30
.
minuts
shortest
.
At
Lincolne
.16
.
houres
.45
.
minuts
longest
.7
.
hours
15.
minutes
shortest
.
At
Yorke
,
the
longest
.17
.
houres
,
the
shortest
.7
.
houres
.
Newcastle
the
longest
.17
.
houres
.12
.
minutes
,
the
shortest
.6
.
houres
.48
.
minutes
.
Barwicke
,
the
longest
.17
.
houres
.30
.
minutis
,
the
shortest
.6
.
houres
.30
.
minuts
.
Edenborow
in
Scotlande
,
the
longest
day
in
Sommer
.17
.
houres
.45
.
minuts
,
the
shortest
day
.6
.
houres
.15
.
minutes
.
Now
Catnes
point
being
the
northermost
part
in
all
Scotlande
,
the
Pole
being
raised
to
.62
.
degrées
,
there
the
longest
day
is
.19
.
houres
.30
.
minuts
,
the
shortest
daye
.4
.
houres
.30
.
minutes
.
Nowe
this
you
doe
consider
,
loke
what
the
longest
day
doth
containe
,
looke
what
that
lacketh
of
.24
.
hours
,
that
is
the
shortest
Winter
day
.
&c.
The
eightenth
Chapter
or
rule
sheweth
howe
to
sayle
by
the
Globe
.
NOw
to
sayle
by
the
Globe
,
it
is
conuenient
to
be
spoken
of
.
For
that
generally
the
most
part
of
the
seamen
make
their
account
as
though
the
earth
wer
a
platforme
.
For
they
do
not
consider
that
the
earth
is
a
Globe
,
and
that
the
Meridians
do
growe
narrower
and
narrower
towards
the
.2
.
poles
,
for
it
is
vnpossible
to
drawe
the
face
of
the
earth
and
the
Sea
true
vpon
a
platforme
,
for
if
you
wil
describe
the
lande
true
,
You
cannot
drawe
the
Land
&
sea
true
vpon
a
flat
thing
.
then
shall
not
the
Sea
be
true
,
for
as
you
go
towardes
the
North
partes
,
your
Meridians
growe
togither
,
so
as
your
lines
or
pointes
be
according
to
the
arte
of
Hydrography
,
for
the
Sea
shall
be
broader
to
the
North
partes
than
it
is
.
Nowe
and
if
you
woulde
describe
the
Sea
true
,
with
lines
,
courses
,
distances
,
hauens
and
daungers
,
then
shoulde
your
lande
be
broader
to
the
North
partes
than
it
is
.
As
for
ensample
,
thus
:
Englande
and
Scotlande
being
both
one
Ilande
,
To
make
a
Sea
plat
or
carde
.
in
all
your
Cardes
of
Nauigation
,
the
North
parte
of
Scotland
is
drawn
much
bigger
than
it
is
,
for
otherwise
the
lines
of
South
&
North
shoulde
not
be
according
to
the
treating
of
the
lande
,
for
if
you
viewe
it
well
,
you
shall
finde
the
North
ende
of
Scotlande
much
more
in
distance
than
it
is
.
As
you
may
see
in
measuring
it
by
the
trunke
of
youre
carde
there
.
For
youre
better
vnderstanding
,
I
will
shewe
you
the
compasse
of
the
earth
vnder
sundrye
Paralels
or
Circles
,
howe
many
myles
the
earthe
doth
contayne
in
compasse
.
The
compasse
of
the
earth
.
Fyrst
,
vnder
the
Equinoctiall
(
where
the
earthe
is
at
the
greatest
compasse
)
in
going
directly
Easte
or
Weaste
,
that
is
,
by
a
ryghte
line
ouer
Sea
and
Lande
,
the
two
Poles
being
euen
wyth
your
Horizon
:
you
haue
.21600
.
myles
to
come
to
the
place
you
departed
from
.
The
compasse
of
the
earth
vnder
the
tropick
of
Cancer
.
The
artick
circle
of
London
vnder
the
Polare
circle
.
Vnder
the
Tropicke
of
Cancer
,
the
North
Pole
being
raysed
.23
.
degrées
.28
.
minutes
,
going
directly
East
&
West
:
it
is
.19800
.
miles
in
compasse
in
our
artick
circle
of
London
wher
the
pole
artick
is
raised
.15
.
deg.
32.
minuts
,
going
East
&
west
:
it
is
.13320
.
myles
in
compasse
,
then
vnderneath
the
Polare
circle
where
the
Pole
is
raysed
sixtie
sixe
degrees
,
thirtie
two
minutes
:
it
is
.8460
.
miles
in
compasse
.
By
this
you
sée
that
the
compasse
of
the
East
and
Weast
lyne
(
comming
from
the
Equinoctiall
)
is
muche
lesser
to
the
North
wardes
than
it
is
to
the
South
wardes
.
Wherefore
when
you
shall
haue
any
occasion
to
attempte
any
voyage
to
the
North
parts
,
it
is
best
to
sayle
by
a
Globe
:
for
so
shall
you
better
see
the
distances
and
bignesse
of
the
landes
,
and
in
like
manner
your
lines
and
courses
.
In
this
order
,
fyrste
(
according
to
the
accustomed
manner
)
kéepe
a
perfitte
accounte
and
reckoning
of
the
waye
of
the
shippe
,
by
what
lyne
or
poynte
your
Shippe
hathe
made
hir
waye
good
,
then
muste
you
resorte
to
youre
Globe
.
After
that
consider
what
place
and
Paralell
you
be
in
,
whiche
you
maye
doe
by
the
Sunne
by
daye
,
How
to
vse
the
globe
to
direct
your
course
,
and
to
knowe
how
that
any
place
doth
beare
.
and
by
the
Starres
by
nyght
.
Nowe
(
knowing
what
place
and
Paralel
you
be
in
)
sette
youre
Globe
to
the
eleuation
of
youre
Pole
:
that
doone
,
turne
to
the
place
of
youre
Zenith
,
and
seeke
the
opposite
of
it
in
your
Paralell
:
for
then
you
knowe
that
in
the
same
Paralell
is
youre
Easte
and
Weaste
lyne
:
that
had
,
the
iuste
quarter
of
that
circle
to
the
Pole
,
muste
be
deuided
into
the
eight
pointes
of
your
compasse
,
doing
so
likewise
on
the
other
side
.
In
like
case
if
you
come
to
the
Southwards
,
deuide
your
.8
.
wyndes
from
your
Antarticke
Pole
,
to
youre
Paralell
circle
:
and
thus
must
you
doe
euer
and
anon
,
for
the
oftner
you
do
obserue
this
custome
,
the
better
&
perfiter
shal
your
course
be
.
Now
thus
briefly
I
make
an
end
of
the
sayling
by
the
Globe
.
But
for
them
that
do
occupie
the
Southparts
,
nothing
is
better
than
their
cardes
.
Bycause
I
haue
declared
vnto
you
the
length
of
certayne
of
the
Paralels
,
what
myles
the
Earth
doth
contayne
in
compasse
vnder
them
,
now
wil
I
shew
you
how
many
myles
distance
is
between
euery
one
of
them
.
And
first
,
The
distance
between
the
equinoctiall
and
the
tropick
of
Cancer
.
Between
the
artick
circle
of
London
&
the
tropick
of
Cancer
.
from
the
Equinoctiall
to
the
Tropick
of
Cancer
,
(
which
is
there
where
the
Sun
maketh
his
furthest
progresse
to
the
North
partes
)
it
is
.1408
.
myles
.
Secondly
,
betwéen
the
tropick
of
Cancer
&
our
Artick
circle
of
London
it
is
1684.
miles
.
Thirdly
,
between
our
Artick
circle
&
the
Polare
circle
is
.900
.
myles
.
Lastly
,
betwéene
the
Polare
circle
and
the
Pole
is
.1408
.
myles
.
So
that
it
is
in
all
from
the
Equinoctiall
to
eyther
of
the
two
Poles
.5400
.
miles
:
whiche
is
the
fourth
part
of
the
compasse
of
the
whole
Earth
.
Furthermore
,
for
that
you
may
the
better
vnderstande
that
the
Earth
is
a
Globe
or
Circular
(
which
any
person
that
dothe
occupie
the
Sea
,
The
cause
why
that
you
may
see
the
sailes
of
a
ship
&
not
the
whole
.
seeth
most
apparantly
)
you
shall
perceiue
it
thus
,
if
you
see
a
Shippe
any
thing
farre
off
,
you
may
perfitly
sée
the
sayles
of
it
,
but
not
the
whole
,
the
cause
wherof
is
the
circularnesse
of
the
earth
and
the
water
of
the
Sea
:
for
that
the
water
doth
rise
and
swell
between
you
and
the
other
ship
,
according
to
the
distance
between
both
the
ships
:
bicause
the
distance
to
the
center
of
the
earth
or
water
,
is
in
euery
place
alike
.
And
he
that
hath
desire
to
know
further
héerof
,
M.
Dée
hath
made
mention
therof
in
Euclides
Elamentes
in
his
mathematical
preface
,
&
also
in
the
.12
.
booke
,
whither
you
may
haue
recourse
,
yet
notwithstanding
I
wil
say
a
litle
therof
,
wherby
you
may
discerne
how
far
it
is
possible
to
sée
a
ship
vpon
the
sea
:
as
thus
:
if
you
be
on
the
sea
in
a
ship
,
so
that
ther
be
but
halfe
a
league
betwéene
you
and
the
other
ship
,
the
water
wyll
be
fyue
ynches
and
a
halfe
hygher
in
the
middle
of
the
waye
betwéene
bothe
the
ships
,
for
that
the
water
is
equall
in
euery
place
vnto
the
center
of
the
earthe
,
and
then
the
water
going
by
a
croked
line
,
then
to
strike
it
by
a
right
line
,
the
middle
of
the
line
that
shoulde
come
from
the
center
of
the
earth
,
shall
be
shorter
than
the
other
.2
.
lines
comming
from
the
center
of
the
earth
betweene
the
.2
.
shippes
by
.5
.
ynches
and
a
halfe
,
and
then
it
must
néedes
be
sayde
,
that
the
water
is
hygher
by
the
said
.5
.
ynches
and
a
halfe
.
And
furthermore
,
if
the
two
shippes
were
a
league
asunder
,
then
the
water
by
his
circulernesse
shuld
be
.22
.
ynches
hygher
than
the
leuell
in
the
middle
betwéene
both
the
shippes
.
To
knowe
howe
many
foote
and
ynches
that
the
water
is
higher
than
the
leuell
or
the
sea
between
two
ships
.
Furthermore
,
if
the
.2
.
ships
be
2.
leagues
asunder
,
then
the
water
shall
be
higher
than
the
leuell
in
the
middle
betwéene
bothe
the
shippes
by
.88
.
ynches
,
which
is
.7
.
foote
and
.4
.
ynches
.
If
the
.2
.
shippes
be
.3
.
leagues
the
one
from
the
other
,
then
the
water
shall
be
higher
than
the
leuell
in
the
midway
betwéene
both
the
shippes
,
by
.198
.
inches
,
whiche
is
16.
foote
and
a
halfe
.
Furthermore
,
if
the
.2
.
shippes
be
.4
.
leagues
asunder
,
the
water
shall
be
higher
than
the
leuell
in
the
midway
betweene
both
the
shippes
by
.252
.
ynches
,
which
is
.29
.
foote
and
.4
.
ynches
.
And
furthermore
,
if
the
.2
.
shippes
were
.5
.
leagues
asunder
,
the
water
shoulde
be
higher
than
the
leuell
of
the
midway
betwéene
both
the
ships
by
.550
.
ynches
,
which
is
.46
.
foote
lacking
.2
.
ynches
.
Yet
furthermore
,
if
the
.2
.
ships
were
.6
.
leagues
asunder
,
the
water
should
be
higher
than
the
leuell
in
the
middle
way
betwéene
them
by
.792
.
ynches
,
which
is
.66
.
foote
.
Furthermore
also
,
if
the
.2
.
shippes
were
.7
.
leagues
asunder
,
the
water
should
be
higher
than
the
leuell
in
the
midway
between
both
the
ships
by
.
1878.
ynches
,
What
a
ken
is
,
and
the
cause
why
you
may
see
a
ship
further
out
of
the
top
then
vpon
the
hatches
.
and
that
is
.90
.
foote
,
whiche
is
as
farre
&
rather
farther
than
it
is
possible
to
sée
any
ship
vpon
the
Sea
:
Neyther
is
it
possible
to
see
any
lande
further
,
but
such
lande
as
is
very
high
lande
,
whiche
for
the
greatnesse
of
the
heigth
you
may
see
it
,
wherfore
.7
.
leagues
or
.6
.
leag.
is
called
a
ken
.
Now
the
circularnesse
of
the
earth
is
the
cause
that
you
may
see
a
shippe
or
land
further
out
of
the
top
than
,
vpon
the
hatches
:
Wherefore
it
is
a
plaine
case
,
that
the
Earth
and
Sea
is
not
flat
,
but
circular
,
as
is
afore
declared
.
&c.
¶
The
.19
.
Chapter
,
is
as
touching
the
making
of
Plats
or
Cardes
for
the
Sea
,
and
not
to
paint
their
cards
as
they
do
,
but
rather
to
supply
the
vacant
places
with
other
necessarie
matters
:
&
also
of
three
necessarie
things
contained
in
the
plats
or
cardes
,
and
their
vses
,
which
is
the
most
necessarie
thing
in
Nauigation
.
FOr
the
making
of
Plats
or
Cards
,
as
touching
Hydrographia
commonly
called
sea
Cards
,
I
meane
to
say
litle
therof
:
for
that
it
is
sufficiently
declared
in
the
booke
called
the
art
of
Nauigation
:
Sauing
this
,
I
would
wish
them
that
be
the
makers
of
plats
and
cardes
for
the
Sea
,
Not
to
paint
their
Sea
cards
but
to
vse
the
vacant
places
with
other
necessary
matters
.
not
to
paint
their
compasses
with
so
many
colours
:
neither
vpon
the
Lande
with
so
many
flagges
,
for
that
it
dothe
rather
hurte
than
good
:
althoughe
it
may
be
saide
they
be
so
painted
in
vacant
places
,
those
vacant
places
I
would
wish
them
to
furnish
with
these
2.
matters
in
this
order
.
Firste
in
some
vacant
place
with
a
compasse
there
,
to
place
against
euery
point
of
the
half
of
the
compasse
,
letters
,
or
some
other
figures
or
carecters
,
then
in
like
maner
,
(
according
to
that
place
where
suche
a
Moone
maketh
a
full
Sea
)
to
make
that
letter
or
carecter
at
the
hauen
,
port
,
or
place
.
As
for
ensample
thus
:
I
place
A
at
the
East
point
,
B
at
the
East
and
by
South
,
C
at
the
East
southeast
,
D
at
Southeast
and
by
East
,
and
so
consequently
to
all
the
pointes
vnto
the
Weast
,
then
that
being
doone
,
where
it
floweth
an
Easte
Moone
.
I
place
A
in
the
platte
or
carde
,
and
where
an
Easte
and
by
South
Moone
,
I
doe
place
B
in
the
carde
,
and
so
forthe
,
according
to
the
place
of
the
Moone
that
maketh
a
full
Sea
.
And
where
it
runneth
halfe
syde
vnder
other
,
To
draw
the
shape
of
the
land
in
their
cardes
.
to
make
some
note
vpon
the
poynt
of
the
compasse
.
&c.
This
also
is
very
necessarie
to
be
done
to
furnishe
vp
all
the
vacant
places
of
the
plat
or
carde
,
to
drawe
the
shape
or
fashion
of
euery
headland
or
high
lande
alongst
euery
coast
that
is
needefull
to
be
knowne
,
and
at
what
poynte
of
the
compasse
the
lande
is
of
that
fashion
:
at
howe
farre
off
the
lande
ryseth
in
that
fashion
:
and
so
to
make
the
fashion
of
the
lande
as
often
as
the
lande
altereth
the
forme
and
fashion
:
and
last
of
all
,
at
what
poynte
of
the
compasse
the
lande
hathe
that
shape
or
fashion
:
for
being
vpon
one
side
,
the
lande
ryseth
of
one
fashion
,
and
on
the
other
side
of
an
other
forme
or
fashion
.
Also
being
neare
the
lande
it
will
be
in
one
fashion
,
and
being
far
off
in
an
other
fashion
(
as
is
before
declared
in
the
14.
Chapter
)
for
there
is
nothing
more
needefull
and
necessary
for
a
Seaman
,
than
this
:
to
knowe
the
lande
when
he
séeth
it
,
and
there
is
no
way
better
to
make
him
remember
it
,
than
to
haue
notes
howe
the
lande
dothe
rise
vpon
euery
side
:
Great
infirmities
by
mistaking
any
place
.
and
what
greater
inconuenience
may
there
growe
by
any
meanes
,
than
there
may
by
mistaking
of
a
place
?
for
it
were
twentie
times
better
to
be
throughly
persuaded
that
he
knoweth
it
not
,
than
to
thinke
he
doth
knowe
it
not
being
that
place
.
For
whereas
he
doth
thinke
to
preuent
the
dangers
,
he
may
willingly
runne
vpon
the
dangers
not
known
of
him
.
Therefore
in
my
opinion
they
can
do
no
better
than
to
furnish
their
vacant
places
in
their
plats
and
cards
with
this
matter
:
for
there
can
be
nothing
better
.
The
vse
of
the
Sea
cardes
is
most
necessary
for
Nauigation
for
long
voyages
:
How
necessary
a
thing
the
sea
cardes
be
.3
.
necessarie
things
in
the
sea
cardes
.
fyrste
for
that
it
sheweth
you
howe
one
place
beareth
from
another
:
secondly
,
the
distance
of
any
places
howe
farre
the
one
is
from
the
other
.
Of
whiche
the
one
is
represented
by
the
lines
of
the
compasse
:
the
other
by
the
scale
or
trunke
of
measure
,
if
the
platte
be
truely
made
.
Thirdly
,
it
sheweth
you
in
what
Latitude
from
the
Equinoctiall
or
Altitude
of
the
pole
any
place
is
in
,
by
the
line
of
degrées
.
Now
to
directe
youre
course
through
the
Sea
by
the
carde
to
any
place
assigned
,
you
must
first
looke
by
what
poynte
of
the
compasse
it
beareth
from
you
,
from
the
place
you
meane
to
sette
off
from
the
lande
,
vnto
the
place
you
would
fyrst
fall
with
.
To
knowe
howe
any
place
dothe
beare
from
you
by
the
carde
.
Which
you
shall
know
thus
:
seeke
alyne
from
the
next
compasse
vnto
the
place
you
meane
to
depart
from
,
then
open
your
compasses
vnto
one
of
those
lynes
by
your
iudgement
that
falleth
neare
vnto
your
place
assigned
:
and
let
the
other
foote
of
your
compasses
stande
iust
at
that
place
where
your
ship
is
,
when
you
direct
your
course
:
that
doone
,
beare
your
hands
forwardes
euen
,
and
let
the
one
ende
be
still
vpon
the
lyne
to
the
whiche
you
did
open
your
compasses
,
vntill
you
come
to
your
place
assigned
.
But
if
it
falleth
short
of
the
place
assigned
,
then
take
the
nexte
line
nearer
vnto
the
place
you
departed
from
:
when
you
haue
so
done
,
if
your
compasses
doe
ouer
reache
the
place
assigned
,
then
take
a
lyne
further
off
from
the
place
you
doe
meane
to
set
off
from
:
and
so
shall
you
sée
by
what
poynte
of
the
compasse
the
place
assigned
dothe
beare
from
you
.
&c.
If
you
would
knowe
howe
farre
the
place
assigned
is
from
you
,
To
knowe
howe
far
it
is
vnto
any
place
by
the
carde
.
set
the
one
foote
of
the
compasses
vpon
the
place
you
departe
from
,
and
stretche
out
the
other
foote
vnto
the
place
assigned
iuste
,
that
doone
(
standing
still
vnremoued
)
sette
them
to
the
scale
or
trunke
of
measure
,
and
that
wil
shew
you
iustly
how
many
leagues
it
is
iust
from
the
place
of
your
departing
vnto
the
place
assigned
.
If
the
distance
between
the
.2
.
places
be
more
than
the
compasses
will
reach
at
once
,
then
first
set
your
compasses
vnto
the
scale
,
opening
the
compasses
vnto
.100
.
leagues
more
or
lesse
,
as
your
scale
and
compasses
will
giue
you
leaue
at
your
discretion
,
after
that
set
the
one
foot
at
the
place
of
your
departing
,
&
the
other
foot
of
the
compasses
right
towards
the
place
assigned
,
as
often
times
as
the
distance
between
the
.2
.
places
doth
require
,
&
thereof
(
the
compasses
being
opened
vnto
.100
.
leagues
)
you
may
conclude
it
to
be
so
many
.100
.
leag.
vnto
the
place
assigned
as
the
compasses
did
shew
vnto
you
:
but
if
ther
be
any
od
mesure
,
them
open
your
compasses
to
the
quantity
,
&
set
to
them
the
scale
,
&
it
wil
shaw
you
the
iust
contente
of
that
measure
,
more
than
so
many
.100
.
leagues
.
To
knowe
what
Latitude
or
heigth
of
the
pole
any
place
hath
by
the
carde
.
&c.
Furthermore
touching
the
third
commoditie
,
which
is
to
knowe
what
Latitude
any
place
assigned
hath
:
set
one
foote
of
the
compasses
vpon
the
place
assigned
,
and
open
the
compasses
vnto
the
nexte
Easte
and
Weast
line
,
then
carie
that
vnto
the
line
of
degrées
(
kéeping
the
foote
of
the
compasses
vpon
the
Easte
and
Weast
lyne
)
it
will
shewe
iustly
the
number
of
degrées
that
the
Pole
is
aboue
the
Horizon
.
So
of
these
thrée
wayes
,
by
the
first
is
knowne
by
what
poynt
of
the
compasse
any
place
beareth
from
you
.
By
the
seconde
is
knowne
howe
farre
distance
it
is
vnto
any
place
assigned
.
And
by
the
thirde
is
knowne
in
what
heigth
the
Pole
is
in
any
place
assigned
.
&c.
Nowe
(
this
being
knowne
)
you
maye
with
the
more
ease
know
howe
to
attaine
to
come
vnto
the
port
or
place
assigned
.
Yet
furthermore
,
there
is
to
be
considered
(
in
directing
the
course
of
a
ship
to
any
place
assigned
)
what
impediments
may
be
by
the
way
:
as
tydes
,
currents
,
or
the
scantnesse
of
the
wynde
whiche
may
put
the
ship
vnto
the
léewardes
of
his
course
,
Things
to
be
considered
by
the
M.
or
pilote
of
a
ship
.
as
also
the
surging
of
the
Sea
:
And
all
this
muste
be
considered
by
the
maister
and
Pilot
of
the
ship
.
Likewise
also
in
long
voyages
,
the
winde
may
often
shifte
vpon
him
,
and
sometime
the
winde
may
be
such
as
he
can
not
lye
his
course
:
wherefore
he
must
kéepe
a
perfite
account
of
the
ships
way
,
and
consider
to
know
what
point
the
ship
hath
made
hir
way
good
by
.
And
at
euery
time
that
the
wynde
doth
shifte
,
and
the
ship
can
not
lye
hir
course
,
to
note
in
the
carde
or
plat
in
what
place
the
ship
may
be
:
in
hauing
a
speciall
regarde
vnto
the
way
of
the
ship
,
as
touching
the
swiftnesse
or
slownesse
that
the
shippe
goeth
:
and
if
so
be
the
weather
be
cleare
either
by
night
or
by
day
,
to
take
the
true
Altitude
of
the
Pole
:
They
may
correct
the
ships
waye
by
the
taking
the
heigth
of
the
Pole.
for
by
that
they
may
correcte
the
ships
way
,
and
giue
a
very
neare
gesse
howe
the
place
(
assigned
to
go
vnto
)
doth
bear
from
them
,
as
also
how
farre
it
is
thither
,
sauing
onely
in
the
Easte
and
Weast
course
:
and
then
they
haue
no
other
helpe
but
only
the
very
account
of
the
shippes
way
.
And
to
correct
their
deade
reckning
by
the
altitude
of
the
Pole
they
must
do
this
:
(
especially
if
the
shippe
haue
had
often
trauerse
by
the
means
of
contrary
winds
,
so
that
she
could
not
lie
hir
course
)
consider
vpon
the
carde
or
plat
how
long
the
ship
hath
made
hir
way
good
for
so
many
points
as
the
ship
hath
sayld
by
:
then
(
if
by
the
altitude
of
the
Pole
the
shippe
hathe
gone
more
than
the
dead
reckning
did
shewe
you
)
repaire
vnto
the
line
of
degrées
,
and
set
the
one
foote
of
the
compasses
vpon
the
degrée
and
place
of
the
heigth
of
the
Pole
,
and
the
other
vpon
the
next
east
and
west
lyne
:
that
done
,
bear
it
vnto
the
place
you
suppose
the
shippe
to
be
in
:
&
then
bring
forwards
with
the
other
compasses
,
what
point
of
the
Compas
the
shippe
hath
sayled
by
,
and
at
the
meeting
of
the
.2
paire
of
compasses
make
a
note
for
the
place
that
the
shippe
is
in
:
from
which
place
you
may
with
your
compasses
see
,
how
the
place
assigned
dothe
beare
,
and
also
how
farre
off
you
be
from
the
same
.
Furthermore
(
if
you
find
by
the
heigth
of
the
Pole
that
you
are
not
so
farre
shot
as
your
reckning
did
shewe
vnto
you
)
you
must
pull
backe
so
much
from
the
point
that
the
shippe
hath
sayled
by
,
as
the
heigth
of
the
pole
doth
shew
vnto
you
,
by
the
order
before
rehersed
&c.
Furthermore
(
as
I
haue
declared
vnto
you
in
the
.14
.
Chapter
going
before
)
to
knowe
howe
farre
the
land
is
off
from
you
,
knowing
(
as
before
)
the
distaunce
betwéene
any
2.
places
by
setting
the
land
with
your
compas
,
To
knowe
howe
far
that
the
lande
is
of
from
you
by
the
sight
of
the
lande
with
youre
compasses
to
do
it
vpon
the
land
.
you
may
do
the
like
by
your
card
,
as
thus
:
you
setting
the
.2
.
places
with
your
compasse
,
do
know
that
the
.2
.
places
be
so
many
leagues
asunder
,
then
shall
you
repaire
to
the
card
,
and
according
to
the
bearing
of
the
.2
.
places
by
the
points
of
the
compas
,
you
(
being
thwart
of
one
of
these
.2
.
places
)
shall
replie
it
with
your
compasses
vnto
your
scale
:
But
for
that
in
the
scale
the
leagues
be
so
small
,
you
may
assigne
.20
.
leagues
to
be
but
one
league
,
and
open
the
compasses
vnto
that
proportion
that
the
.2
.
places
be
asunder
,
and
the
one
of
them
doth
beare
from
the
other
:
that
done
,
open
the
compasses
againe
from
the
center
of
the
compas
vnto
the
place
that
you
do
imagin
to
be
the
land
,
and
then
reply
it
vnto
the
trunk
of
measure
,
you
shall
see
howe
many
leagues
you
bee
from
the
shore
and
so
foorth
.
So
that
you
may
see
that
the
plat
or
card
is
one
of
the
necessariest
things
that
is
to
be
vsed
in
Nauigation
.
&c.
¶
The
.20
.
Chapiter
is
of
the
Longitude
and
declination
of
.32
.
notable
fixed
Starres
for
Nauigation
,
with
tables
of
their
shining
,
and
at
what
pointe
of
your
compas
they
do
both
rise
and
set
:
and
also
tables
for
euery
moneth
of
the
yeere
,
declaring
at
what
houre
and
minute
they
be
South
,
running
from
the
first
day
of
the
moneth
to
the
.15
.
and
from
the
.15
.
to
the
last
day
,
and
will
continue
these
100.
yeares
without
muche
error
.
ANd
furthermore
I
do
thinke
it
conuenient
for
diuerse
considerations
to
shew
the
Longitude
and
declination
of
certaine
of
the
most
notablest
fixed
Starres
that
are
néere
vnto
the
Equinoctiall
,
If
the
pole
be
raysed
more
than
50.
or
.60
.
degrees
,
it
is
to
hye
to
be
obserued
by
the
crosse
Staffe
.
These
Starres
will
serue
beyond
the
Equinoctiall
.
to
the
number
of
.32
.
of
them
,
whiche
are
very
necessary
for
Nauigation
in
diuers
respectes
,
as
this
:
if
you
be
vnto
the
North
parts
where
the
North
pole
is
raysed
more
than
.50
.
or
.60
.
degrees
,
then
the
North
Starre
is
too
hye
to
be
obserued
or
taken
with
the
crosse
staffe
(
as
I
haue
declared
in
the
.6
.
Chapter
)
and
it
may
chaunce
so
that
in
the
day
the
Sunne
is
not
to
be
séene
at
noone
,
and
then
these
Starres
may
serue
your
turne
.
And
furthermore
they
be
very
good
for
them
that
haue
occasion
to
trauell
beyonde
the
Equinoctiall
where
the
North
pole
is
vnder
the
Horizon
,
in
vsing
their
declination
as
they
do
the
Sunnes
declination
in
all
points
,
whiche
doth
appeare
in
the
.7.8
.
and
.9
.
Chapters
of
this
book
.
And
furthermore
they
be
very
necessary
for
Seafaring
men
to
knowe
the
houre
of
the
night
:
both
by
their
being
vpon
the
Meridian
,
To
knowe
the
rising
and
setting
of
these
Starres
in
all
places
by
the
order
of
the
xi
.
Chapter
The
order
of
the
table
following
.
and
also
by
their
rising
and
setting
:
you
may
know
the
true
time
of
their
rising
and
setting
in
euery
Latitude
by
their
declination
from
the
Equinoctiall
,
whether
they
decline
to
the
South
partes
or
North
parts
,
as
is
declared
by
the
declination
of
the
Sun
in
the
.11
.
chapter
.
And
furthermore
by
any
of
these
Starres
you
may
trie
the
variation
of
your
compas
by
night
.
&c.
Now
shal
folow
the
table
of
all
these
Stars
.
The
first
row
of
this
table
conteineth
the
names
of
the
Stars
The
seconde
,
the
signes
,
that
they
be
in
Longitude
.
The
thirde
,
the
degrees
in
the
signes
.
The
.4
.
the
minutes
belonging
therevnto
.
The
.5
.
the
degrees
of
declination
.
The
.6
.
the
odde
minuts
belonging
therevnto
.
The
.7
.
sheweth
towardes
what
port
they
decline
by
letters
,
of
whiche
S.
signifieth
Septentrionell
or
North
declination
.
M.
signifieth
Meridionall
or
south
declination
:
as
in
the
table
doth
appeare
.
The
.8
doth
shew
nothing
but
the
bignesse
of
the
Starres
.
Now
followeth
the
Table
.
A
Table
of
the
fixed
Sarres
.
The
names
of
the
Starres
.
|
Signes
.
|
Longit.
degr.
mi.
|
Declin
.
deg.
mi.
|
To
what
part
they
decline
.
|
Bignesse
of
the
stars
|
Whales
backe
.
|
Aries
.
|
6.
6
|
12.
11
▪
|
M
|
second
bignesse
|
Whales
belly
.
|
Aries
.
|
16.
2
|
12.
20
|
M
|
second
bignesse
|
Rammes
horne
.
|
Aries
.
|
27.
42
|
17.
19
|
S
|
thirde
bignesse
|
Rammes
head
.
|
Taurus
.
|
1.
46
|
21.
16
|
S
|
thirde
bignesse
|
●uiles
eye
.
|
Gemini
.
|
3.
42
|
15.
42
|
S
|
great
Starres
|
Orions
left
fote
.
|
Gemini
.
|
10.
12
|
9.
14
|
M
|
a
great
Starre
|
Orions
left
shoulder
.
|
Gemini
.
|
11.
26
|
4.
37
|
S
|
a
Starre
of
the
|
First
Orions
girdle
.
|
Gemini
.
|
16.
22
|
1.
19
|
M
|
second
light
both
|
Orions
right
shoulder
|
Gemini
.
|
23.
6
|
6.
18
|
S
|
a
great
Starre
|
Great
Dogge
.
|
Cancer
.
|
8.
40
|
15.
30
|
M
|
a
very
great
star
|
Lesser
Dogge
.
|
Cancer
.
|
20.
10
|
6.
4
|
S
|
a
great
Starre
|
Brightest
in
Hydra
.
|
Leo.
|
21.
2
|
4.
47
|
M
|
second
bignesse
|
Lyons
necke
.
|
Leo.
|
23.
16
|
21.
59
|
S
|
second
bignesse
|
Lyons
heart
.
|
Leo.
|
23.
32
|
14.
3
|
S
|
a
great
Starre
|
Lyons
backe
.
|
Virgo
.
|
5.
16
|
22.
30
|
S
|
second
bignesse
|
Lyons
tayle
.
|
Virgo
.
|
15.
32
|
16.
46
|
S
|
a
great
Starre
|
Rauens
head
.
|
Libra
.
|
5.
6
|
19.
53
|
M
|
of
the
thirde
bignesse
|
Rauens
wing
.
|
Libra
.
|
9.
36
|
17.
8
|
M
|
both
those
|
Virgins
spike
.
|
Libra
.
|
17.
42
|
4.
54
|
M
|
a
great
Starre
|
twixt
Footes
thighs
.
|
Libra
.
|
18.
6
|
22.
9
|
S
|
a
great
Starre
|
South
balance
.
|
Scorpio
.
|
9.
2
|
13.
44
|
M
|
second
bignesse
|
North
balance
.
|
Scorpio
.
|
13.
12
|
7.
33
|
M
|
second
bignesse
|
Scorpions
heart
.
|
Sagittari
|
3.
42
|
24.
47
|
M
|
second
bignesse
|
Hercules
head
.
|
Sagittari
.
|
8.
42
|
15.
20
|
S
|
thirde
bignesse
|
Serpents
head
.
|
Sagittari
.
|
15.
52
|
14.
7
|
S
|
thirde
bignesse
|
The
Eagle
.
|
Capricor
|
24.
51
|
7.
28
|
S
|
second
bignesse
|
Dolphins
tayle
.
|
Aquari
.
|
8.
27
|
10.
1
|
S
|
thirde
bignesse
|
Goates
tayle
.
|
Aquari
.
|
17.
22
|
14.
13
|
M
|
thirde
bignesse
|
Water
pourers
leg
.
|
Pisces
.
|
2.
20
|
15.
52
|
M
|
thirde
bignesse
|
Pegasus
shoulder
.
|
Pisces
.
|
17.
41
|
13.
1
|
S
|
second
bignesse
|
Pegasus
legge
.
|
Pisces
.
|
23.
10
|
26.
30
|
S
|
second
bignesse
|
Whales
tayle
.
|
Pisces
.
|
26.
21
|
21.
47
|
M
|
thirde
bignesse
|
The
vse
of
this
Table
is
this
:
when
you
haue
taken
the
heigth
of
any
of
these
Starres
vpon
the
Meridian
,
then
loke
what
declination
the
Starre
hath
from
the
Equinoctiall
:
How
to
vse
the
starres
declination
to
know
the
heigth
of
the
Pole.
if
the
star
haue
North
declination
,
then
subtract
or
take
away
the
stars
declination
from
the
heigth
:
if
it
haue
South
declition
,
then
adde
or
put
vnto
the
heigth
the
starres
declination
,
and
that
will
shewe
vnto
you
the
heigth
of
the
Equinoctiall
,
and
then
by
the
heigthe
of
the
Equinoctiall
the
heigth
of
the
Pole
is
knowne
,
as
the
.7
.
Chapter
doth
declare
.
And
now
I
thinke
it
conuenient
to
make
certaine
Tables
,
to
shewe
vnto
you
at
what
houre
and
time
any
of
these
starres
be
vpon
the
Meridian
,
whereby
they
maye
the
better
knowe
these
Starres
.
I
will
also
shewe
vnto
you
howe
long
any
of
these
Starres
doe
shyne
or
tarry
aboue
the
Horizon
in
this
Latitude
from
the
Equinoctiall
of
London
,
that
is
at
.51
.
or
52.
degrees
.
And
also
at
what
poynte
of
the
compasse
any
of
these
Starres
do
ryse
or
set
,
which
will
serue
this
.100
.
years
without
much
error
.
¶
A
Table
to
knowe
the
rysing
and
setting
of
these
Starres
,
by
what
poynt
of
the
compasse
,
and
howe
many
houres
they
be
aboue
our
Horizon
,
the
Pole
being
raysed
.51
.
or
.52
.
degrees
.
THe
Whales
backe
ryseth
East
and
by
South
,
and
vnto
the
Southwards
:
and
shyneth
.10
.
houres
and
better
.
The
Whales
belly
(
in
a
maner
)
as
the
whales
backe
.
The
Rammes
Horne
riseth
Easte
Northeast
,
and
setteth
Weast
Northwest
:
and
shineth
.15
.
houres
.16
.
minuts
.
The
Rammes
Heade
ryseth
East
Northeast
,
and
setteth
Weast
Northwest
:
and
shineth
.16
.
hours
.4
.
minuts
.
The
Bulles
Eye
ryseth
neare
the
Easte
Northeast
,
and
setteth
neare
the
West
Northwest
:
and
shyneth
.15
.
houres
2.
minutes
.
The
Orions
left
foote
riseth
neare
the
East
and
by
South
,
and
setteth
neare
the
West
and
by
Southe
:
and
shineth
.10
.
houres
and
.6
.
minuts
.
The
Orions
lefte
shoulder
ryseth
East
and
to
the
Northwardes
,
and
setteth
West
and
to
the
Northwardes
:
and
shineth
.12
.
houres
.45
.
minuts
.
The
firste
in
Orions
girdle
doth
rise
a
little
to
the
Southwardes
of
the
East
,
and
setteth
a
little
to
the
Southwardes
of
the
West
:
and
shineth
.11
.
houres
.46
.
minuts
.
Orions
right
shoulder
riseth
East
,
&
vnto
the
Norwardes
,
and
setteth
West
and
vnto
the
Norwardes
:
and
shineth
.13
.
houres
.12
.
minuts
.
The
great
Dogge
riseth
East
Southeast
,
&
setteth
West
Southwest
:
and
shineth
.9
.
houres
.
The
lesser
Dogge
riseth
Easte
and
vnto
the
Norwardes
,
&
setteth
West
&
vnto
the
Norwardes
:
&
shineth
.13
.
h.
10.
min.
The
brightest
in
Hydra
ryseth
Easte
and
vnto
the
Southwardes
,
and
setteth
West
and
vnto
the
Southwardes
:
and
shineth
.11
.
houres
.7
.
minutes
.
The
Lions
necke
riseth
East
Northeast
and
to
the
Norwardes
,
and
setteth
West
Norwest
and
to
the
Norwardes
:
and
shineth
.16
.
houres
.16
.
minutes
.
The
Lyons
hart
riseth
neare
the
East
Northeast
,
and
setteth
neare
the
West
Norwest
:
&
shineth
.14
.
houres
.50
.
min.
The
Lions
backe
riseth
neare
the
Northeast
and
by
East
,
and
setteth
neare
the
Norwest
and
by
West
:
and
shineth
.16
.
houres
.26
.
minutes
.
The
Lions
tayle
riseth
neare
the
East
Northeast
,
&
setteth
neare
the
West
Norwest
:
and
shineth
.15
.
houres
.12
.
minutes
.
The
Rauens
head
ryseth
neare
the
East
Southeast
,
and
setteth
neare
the
West
Southwest
:
&
shineth
.8
.
hours
.12
.
min.
The
Rauens
wing
riseth
neare
the
East
Southeast
,
and
setteth
neare
the
West
Southwest
:
&
shineth
.8
.
hours
.50
.
mi.
The
Virgins
spike
riseth
East
&
to
the
Southwards
,
&
setteth
West
&
to
the
Southwards
:
&
shineth
.11
.
houres
.4
.
min.
Betwéene
Bootes
thyes
riseth
neare
the
Northeast
and
by
East
,
and
setteth
neare
the
Northwest
and
by
West
,
and
shineth
.16
.
houres
.20
.
minutes
.
The
South
Ballance
ryseth
neare
the
East
Southeast
,
and
setteth
neare
the
West
Southwest
:
and
shineth
.9
.
houres
.36
.
minutes
.
The
North
ballance
riseth
neare
the
East
&
by
South
,
and
setteth
neare
the
west
&
by
South
:
and
shineth
.10
.
hou.
38.
min.
The
Scorpions
heart
riseth
neare
the
Southeast
and
by
East
,
&
setteth
neare
the
Southwest
&
by
West
:
and
shineth
7.
houres
.5
.
minutes
.
Hercules
head
riseth
neare
the
East
Northeast
,
and
setteth
neare
the
West
Northwest
:
&
shineth
.14
.
houres
.56
.
min.
The
Serpents
head
riseth
neare
the
east
northeast
,
&
setteth
neare
the
west
northwest
:
&
shineth
.14
.
houres
.40
.
minutes
.
The
Eagle
riseth
neare
the
East
and
by
North
,
and
setteth
neare
the
West
&
by
North
:
and
shineth
.13
.
houres
.24
.
min.
The
Dolphines
tayle
riseth
East
and
by
north
,
and
setteth
west
&
by
North
:
and
shineth
.15
.
houres
.57
.
minutes
.
The
Goates
tayle
riseth
neare
the
East
southeast
,
&
setteth
West
southwest
:
and
shineth
.9
.
houres
.20
.
minutes
.
The
water
pourers
leg
riseth
neare
the
East
Southeast
,
&
setteth
West
southwest
:
and
shineth
.8
.
houres
.54
.
minutes
.
Pegasus
shoulders
riseth
neare
the
East
Northeast
,
&
setteth
neare
the
West
northwest
:
&
shineth
.14
.
houres
,
32.
minutes
.
Pegasus
legge
riseth
neare
Northeast
,
and
setteth
neare
Northwest
:
and
shineth
.17
.
houres
.6
.
minutes
.
The
Whales
tayle
riseth
East
Southeast
,
&
setteth
West
Southwest
:
and
shineth
.7
.
houres
.48
.
minutes
.
Furthermore
if
you
desire
to
know
the
time
of
any
of
these
starres
,
beeing
aboue
the
Horizon
in
all
Latitudes
,
The
.11
.
chapter
will
shewe
howe
long
any
of
these
stars
wil
shine
in
all
places
,
then
repayre
to
the
.11
.
chapter
:
so
you
shall
know
it
there
by
their
declination
:
euen
by
the
same
order
that
you
know
the
sunnes
béeing
aboue
the
Horizon
,
by
the
sunnes
declination
.
A
Table
of
the
fixed
Starres
.
These
stars
being
south
from
the
first
day
of
Ianuary
vnto
the
.15
.
day
.
|
Ianuary
from
the
15.
day
to
the
last
.
|
February
from
the
5.
vnto
the
.15
.
|
February
from
the
15.
to
the
last
.
|
March
from
the
first
to
the
.15
.
|
March
from
the
15.
to
the
last
.
|
Aprill
from
the
first
day
to
the
.15
|
Aprill
from
the
15.
day
to
the
last
|
May
from
the
first
to
the
.15
.
|
May
from
the
15.
day
to
the
last
|
Iune
from
the
first
to
the.
.15
.
|
Iune
from
the
15.
day
to
the
last
.
|
Iuly
from
the
first
to
the
.15
.
|
Iuly
from
the
.15
.
day
to
the
last
.
|
August
from
the
first
to
the
.15
.
|
August
from
the
15.
day
to
the
last
.
|
September
from
the
1.
vnto
the
.15
.
day
.
|
September
from
the
15.
to
the
last
day
.
|
October
from
the
1.
to
the
.15
.
day
.
|
October
from
the
15.
day
to
the
last
|
Nouember
from
the
first
to
the
.15
.
|
Nouember
the
15.
day
to
the
last
|
December
from
the
first
to
the
.15
.
|
December
from
the
.15
.
to
the
〈◊〉
.
|
1
|
Whales
backe
.
|
5.20
|
E
|
1
|
4.20
|
DA
|
1
|
3.20
|
DA
|
1
|
2.20
|
DA
|
1
|
1.20
|
DA
|
1
|
12
20
|
DA
|
1
|
11.20
|
MD
|
1
|
10.20
|
MD
|
1
|
9.20
|
MD
|
1
|
8.20
|
MD
|
1
|
7.20
|
MD
|
1
|
6.20
|
MD
|
1
|
5.20
|
MD
|
1
|
4.20
|
M
|
1
|
3.20
|
M
|
1
|
2.20
|
M
|
1
|
1.20
|
M
|
1
|
12.20
|
M
|
1
|
11.20
|
E
|
1
|
10.20
|
E
|
1
|
9.20
|
E
|
1
|
8.20
|
E
|
1
|
7.20
|
E
|
1
|
6.20
|
E
|
2
|
Whales
●elly
.
|
5.54
|
E
|
2
|
4.54
|
DA
|
2
|
3.54
|
DA
|
2
|
2.54
|
DA
|
2
|
1.54
|
DA
|
2
|
12.54
|
DA
|
2
|
11.54
|
MD
|
2
|
10.54
|
MD
|
2
|
9.54
|
MD
|
2
|
8.54
|
MD
|
2
|
7.54
|
MD
|
2
|
6.54
|
MD
|
2
|
5.54
|
MD
|
2
|
4.54
|
MD
|
2
|
3.54
|
M
|
2
|
2.54
|
M
|
2
|
1.54
|
M
|
2
|
12.54
|
M
|
2
|
11.54
|
E
|
2
|
14.54
|
E
|
2
|
9.54
|
E
|
2
|
8.54
|
E
|
2
|
7.54
|
E
|
2
|
6.54
|
E
|
3
|
Rammes
horne
.
|
6
28
|
E
|
3
|
5.28
|
E
|
3
|
4
28
|
DA
|
3
|
3
28
|
DA
|
3
|
2.28
|
DA
|
3
|
1.28
|
DA
|
3
|
12
28
|
DA
|
3
|
11.28
|
MD
|
3
|
10.28
|
MD
|
3
|
9.28
|
MD
|
3
|
8.28
|
MD.
|
3
|
7.28
|
MD
|
3
|
6.28
|
MD
|
3
|
5.28
|
MD
|
3
|
4.28
|
M
|
3
|
3.28
|
M
|
3
|
2.28
|
M
|
3
|
1.28
|
M
|
3
|
12.28
|
M
|
3
|
11.28
|
E
|
3
|
10.28
|
E
|
3
|
9.28
|
E
|
3
|
8.28
|
E
|
3
|
7.28
|
E
|
4
|
Rammes
head
.
|
6.45
|
E
|
4
|
5.45
|
E
|
4
|
4
45
|
DA
|
4
|
3.45
|
DA
|
4
|
2.45
|
DA
|
4
|
1.45
|
DA
|
4
|
12
45
|
DA
|
4
|
11.45
|
MD
|
4
|
10.45
|
MD
|
4
|
9.45
|
MD
|
4
|
8.45
|
MD
|
4
|
7.45
|
MD
|
4
|
6.45
|
MD
|
4
|
5.45
|
MD
|
4
|
4.45
|
MD
|
4
|
3.45
|
M
|
4
|
2.45
|
M
|
4
|
1.45
|
M
|
4
|
12.45
|
M
|
4
|
11.45
|
E
|
4
|
10.45
|
E
|
4
|
9.45
|
E
|
4
|
8.45
|
E
|
4
|
7.45
|
E
|
5
|
Bulles
eye
.
|
8.52
|
E
|
5
|
7.52
|
E
|
5
|
6.52
|
E
|
5
|
5.52
|
DA
|
5
|
4.52
|
DA
|
5
|
3.52
|
DA
|
5
|
2.52
|
DA
|
5
|
1.52
|
DA
|
5
|
12.52
|
DA
|
5
|
11.52
|
MD
|
5
|
10.52
|
MD
|
5
|
9.52
|
MD
|
5
|
8.52
|
MD
|
5
|
7.52
|
MD
|
5
|
6.52
|
MD
|
5
|
5.52
|
MD
|
5
|
4.52
|
M
|
5
|
3.52
|
M
|
5
|
2.52
|
M
|
5
|
1.52
|
M
|
5
|
12.52
|
M
|
5
|
11.52
|
E
|
5
|
10.52
|
E
|
5
|
9.52
|
E
|
6
|
Orions
left
fote
.
|
9.23
|
E
|
6
|
8.23
|
E
|
6
|
7.23
|
E
|
6
|
6.23
|
E
|
6
|
5.23
|
DA
|
6
|
4.23
|
DA
|
6
|
3.23
|
DA
|
6
|
2.23
|
DA
|
6
|
1.23
|
DA
|
6
|
12.23
|
DA
|
6
|
11.23
|
MD
|
6
|
10.23
|
MD
|
6
|
9.23
|
MD
|
6
|
8.23
|
MD
|
6
|
7.23
|
MD
|
6
|
6.23
|
MD
|
6
|
5.23
|
M
|
6
|
4.23
|
M
|
6
|
3.23
|
M
|
6
|
2.23
|
M
|
6
|
1.23
|
M
|
6
|
12
23
|
M
|
6
|
11.23
|
E
|
6
|
10.23
|
E
|
7
|
Orions
left
shoulder
.
|
9.28
|
E
|
7
|
8.28
|
E
|
7
|
7.28
|
E
|
7
|
6.28
|
E
|
7
|
5.28
|
DA
|
7
|
4
28
|
DA
|
7
|
3
28
|
DA
|
7
|
2.28
|
DA
|
7
|
1.28
|
DA
|
7
|
12.28
|
DA
|
7
|
11.28
|
MD
|
7
|
10.28
|
MD
|
7
|
9.28
|
MD
|
7
|
8.28
|
MD
|
7
|
7.28
|
MD
|
7
|
6.28
|
MD
|
7
|
5.28
|
M
|
7
|
4.28
|
M
|
7
|
3.28
|
M
|
7
|
2.28
|
M
|
7
|
1
28
|
M
|
7
|
12.28
|
M
|
7
|
11.28
|
E
|
7
|
10.28
|
E
|
8
|
First
Orions
girdle
.
|
9.50
|
E
|
8
|
8
50
|
E
|
8
|
7.50
|
E
|
8
|
6.50
|
E
|
8
|
5.50
|
DA
|
8
|
4.50
|
DA
|
8
|
3.50
|
DA
|
8
|
2.50
|
DA
|
8
|
1.50
|
DA
|
8
|
12.50
|
DA
|
8
|
11.50
|
MD
|
8
|
10.50
|
MD
|
8
|
9.50
|
MD
|
8
|
8.50
|
MD
|
8
|
7.50
|
MD
|
8
|
6.50
|
MD
|
8
|
5.50
|
MD
|
8
|
4.50
|
M
|
8
|
3.50
|
M
|
8
|
2.50
|
M
|
8
|
1.50
|
M
|
8
|
12
50
|
M
|
8
|
11.50
|
●
|
8
|
10
50
|
E
|
9
|
Orions
right
shoulder
|
10.12
|
E
|
9
|
9.12
|
E
|
9
|
8.12
|
E
|
9
|
7
12
|
E
|
9
|
6.12
|
E
|
9
|
5.12
|
DA
|
9
|
4
12
|
DA
|
9
|
3.12
|
DA
|
9
|
2.12
|
DA
|
9
|
1.12
|
DA
|
9
|
12.12
|
DA
|
9
|
11.12
|
MD
|
9
|
10.12
|
MD
|
9
|
9.12
|
MD
|
9
|
8.12
|
MD
|
9
|
7.12
|
MD
|
9
|
6.12
|
MD
|
9
|
5.12
|
M
|
9
|
4.12
|
M
|
9
|
3.12
|
M
|
9
|
2.12
.
|
M
|
9
|
1.12
|
M
|
9
|
12.12
|
M
|
9
|
11.12
|
E
|
10
|
Great
Dogge
.
|
11.4
|
E
|
10
|
10.4
|
E
|
10
|
9.4
|
E
|
10
|
8.4
|
E
|
10
|
7.4
|
E
|
10
|
6.4
|
DA
|
10
|
5.4
|
DA
|
10
|
4
4
|
DA
|
10
|
3
4
|
DA
|
10
|
2.4
|
DA
|
10
|
1.4
|
DA
|
10
|
12.4
|
DA
|
10
|
11.4
|
MD
|
10
|
10.4
|
MD
|
10
|
9.4
|
MD
|
10
|
8.4
|
MD
|
10
|
7.4
|
MD
|
10
|
6.4
|
MD
|
10
|
5.4
|
M
|
10
|
4.4
|
M
|
10
|
3.4
|
M
|
10
|
2.4
|
M
|
10
|
14
|
M
|
10
|
12.4
|
M
|
11
|
Lesser
Dogge
.
|
12.0
|
|
11
|
11.0
|
E
|
11
|
10.0
|
E
|
11
|
9.0
|
E
|
11
|
8.0
|
E
|
11
|
7.0
|
E
|
11
|
6.0
|
DA
|
11
|
5.0
|
DA
|
11
|
4.0
|
DA
|
11
|
3.0
|
DA
|
11
|
2.0
|
DA
|
11
|
1.0
|
DA
|
11
|
12.0
|
|
11
|
11.0
|
MD
|
11
|
10.0
|
MD
|
11
|
9.0
|
MD
|
11
|
8.0
|
MD
|
11
|
7.0
|
MD
|
11
|
6.0
|
M
|
11
|
5.0
|
M
|
11
|
4.0
|
M
|
11
|
3.0
|
M
|
11
|
2.0
|
M
|
11
|
1.0
|
M
|
12
|
Brightest
in
Hydra
.
|
12
4
|
M
|
12
|
11.4
|
E
|
12
|
10.4
|
E
|
12
|
9.4
|
E
|
12
|
8.4
|
E
|
12
|
7.4
|
E
|
12
|
6.4
|
DA
|
12
|
5.4
|
DA
|
12
|
4.4
|
DA
|
12
|
3.4
|
DA
|
12
|
2.4
|
DA
|
12
|
1.4
|
DA
|
12
|
12.4
|
DA
|
12
|
11.4
|
MD
|
12
|
10.4
|
MD
|
12
|
9.4
|
MD
|
12
|
8.4
|
MD
|
12
|
7.4
|
MD
|
12
|
6.4
|
M
|
12
|
5.4
|
M
|
12
|
4
4
|
M
|
12
|
3
4
|
M
|
12
|
2.4
|
M
|
12
|
1.4
|
M
|
13
|
Lyons
necke
.
|
2.12
|
M
|
13
|
1.12
|
M
|
13
|
12.12
|
M
|
13
|
11.12
|
E
|
13
|
10.12
|
E
|
13
|
9.12
|
E
|
13
|
8.12
|
E
|
13
|
7.12
|
DA
|
13
|
6
12
|
DA
|
13
|
5.12
|
DA
|
13
|
4.12
|
DA
|
13
|
3
12
|
DA
|
13
|
2.12
|
DA
|
13
|
1.12
|
DA
|
13
|
12.12
|
DA
|
13
|
11.12
|
MD
|
13
|
10.12
|
MD
|
13
|
9.12
|
MD
|
13
|
8.12
|
MD
|
13
|
7.12
|
MD
|
●3
|
6.12
|
M
|
13
|
5
12
|
M
|
13
|
4.12
|
M
|
13
|
2
12
|
M
|
14
|
Lyons
heart
.
|
2.13
|
M
|
14
|
1.13
|
M
|
14
|
12
13
|
M
|
14
|
11.13
|
E
|
14
|
10.13
|
E
|
14
|
9.13
|
E
|
14
|
8.13
|
E
|
14
|
7.13
|
DA
|
14
|
6.13
|
DA
|
14
|
5.13
|
DA
|
14
|
4.13
|
DA
|
14
|
3.13
|
DA
|
14
|
2.13
|
DA
|
14
|
1.13
|
DA
|
14
|
12.13
|
DA
|
14
|
11.13
|
MD
|
14
|
10.13
|
MD
|
14
|
9.13
|
MD
|
14
|
8.13
|
MD
|
14
|
7.13
|
MD
|
14
|
6
13
|
M
|
14
|
5.13
|
M
|
14
|
4.13
|
M
|
14
|
2.13
|
M
|
15
|
Lyons
backe
.
|
3.0
|
M
|
15
|
2.0
|
M
|
15
|
1
0
|
M
|
15
|
12.0
|
|
15
|
11.0
|
E
|
15
|
10.0
|
E
|
15
|
9.0
|
E
|
15
|
8.0
|
E
|
15
|
7.0
|
DA
|
15
|
6.0
|
DA
|
15
|
5.0
|
DA
|
15
|
4.0
|
DA
|
15
|
3.0
|
DA
|
15
|
2.0
|
DA
|
15
|
1.0
|
DA
|
15
|
12.0
|
|
15
|
11.0
|
MD
|
15
|
10.0
|
MD
|
15
|
9.0
|
MD
|
15
|
8.0
|
MD
|
15
|
7.0
|
M
|
15
|
6.0
|
M
|
15
|
5.0
|
M
|
15
|
4.0
|
M
|
16
|
Lyons
tayle
.
|
3.42
|
M
|
16
|
2.42
|
M
|
16
|
1.42
|
M
|
16
|
12.42
|
M
|
16
|
11.42
|
E
|
16
|
10.42
|
E
|
16
|
9.42
|
E
|
16
|
8.42
|
E
|
16
|
7.42
|
DA
|
16
|
6.42
|
DA
|
16
|
5.42
|
DA
|
16
|
4.42
.
|
DA
|
16
|
3.42
|
DA
|
16
|
2.42
|
DA
|
16
|
1.42
|
DA
|
16
|
12.42
|
DA
|
16
|
11.42
|
MD
|
16
|
10.42
|
MD
|
16
|
9.42
|
MD
|
16
|
8.42
|
MD
|
16
|
7.42
|
MD
|
16
|
6.42
|
M
|
16
|
5.42
|
M
|
16
|
4.42
.
|
M
|
17
|
Rauens
head
.
|
5.2
|
M
|
17
|
4
2
|
M
|
17
|
3.2
|
M
|
17
|
2.2
|
M
|
17
|
1.2
|
M
|
17
|
12.2
|
M
|
17
|
11.2
|
E
|
17
|
10.2
|
E
|
17
|
9.2
|
E
|
17
|
8.2
|
DA
|
17
|
7.2
|
DA
|
17
|
6.2
|
DA
|
17
|
5.2
|
DA
|
17
|
4.2
|
DA
|
17
|
3.2
|
DA
|
17
|
2.2
|
DA
|
17
|
1.2
|
DA
|
17
|
12.2
|
DA
|
17
|
11.2
|
MD
|
17
|
10.2
|
MD
|
17
|
9.2
|
MD
|
17
|
8.2
|
MD
|
17
|
7.2
|
M
|
17
|
6.2
|
M
|
18
|
Rauens
wing
.
|
5.19
|
M
|
18
|
4.19
|
M
|
18
|
3.19
|
M
|
18
|
2.19
|
M
|
18
|
1.19
|
M
|
18
|
12.19
|
M
|
18
|
11.19
|
E
|
18
|
10.19
|
E
|
18
|
9.19
|
E
|
18
|
8.19
|
DA
|
18
|
7.19
|
DA
|
18
|
6.19
|
DA
|
18
|
5.19
|
DA
|
18
|
4.19
|
DA
|
18
|
3.19
|
DA
|
18
|
2.19
|
DA
|
18
|
1.19
|
DA
|
18
|
12.19
.
|
DA
|
18
|
11.19
|
MD
|
18
|
10.19
|
MD
|
18
|
9.19
|
MD
|
18
|
8.19
|
MD
|
18
|
7.19
|
M
|
18
|
6.19
|
M
|
19
|
Virgins
spike
.
|
5.51
|
M
|
19
|
4.51
|
M
|
19
|
3.51
|
M
|
19
|
2.51
|
M
|
19
|
1.51
|
M
|
19
|
12.51
|
M
|
19
|
11.51
|
E
|
19
|
10.51
|
E
|
19
|
9.51
|
E
|
19
|
8.51
|
DA
|
19
|
7.51
|
DA
|
19
|
6.51
|
DA
|
19
|
5.51
|
DA
|
19
|
4.51
|
DA
|
19
|
3.51
|
DA
|
19
|
2.51
|
DA
|
19
|
1.51
|
DA
|
19
|
12.51
|
DA
|
19
|
11.51
|
MD
|
19
|
10.51
|
MD
|
19
|
9.51
|
MD
|
19
|
8.51
|
MD
|
19
|
7.51
|
MD
|
19
|
6.51
|
M
|
20
|
twixt
Bootes
thighs
.
|
5.56
|
M
|
20
|
4.56
|
M
|
20
|
3.56
|
M
|
20
|
2.56
|
M
|
20
|
1.56
|
M
|
20
|
12.56
|
M
|
20
|
11.56
|
E
|
20
|
10.56
|
E
|
20
|
9.56
|
E
|
20
|
8.56
|
DA
|
20
|
7.56
|
DA
|
20
|
6.56
|
DA
|
20
|
5.56
|
DA
|
20
|
4.56
|
DA
|
20
|
3.56
|
DA
|
20
|
2.56
|
DA
|
20
|
1.56
|
DA
|
20
|
12.56
|
DA
|
20
|
11.56
|
MD
|
20
|
10.56
|
MD
|
20
|
9.56
|
MD
|
20
|
8.56
|
MD
|
20
|
7.56
|
MD
|
●0
|
6.56
|
M
|
21
|
South
balance
.
|
7.16
|
M
|
21
|
6.16
|
M
|
21
|
5.16
|
M
|
21
|
4.16
|
M
|
21
|
3.16
|
M
|
21
|
2.16
|
M
|
21
|
1.16
|
M
|
21
|
12.16
|
M
|
21
|
11.16
|
E
|
21
|
10.16
|
E
|
21
|
9.16
|
DA
|
21
|
8.16
|
DA
|
21
|
7.16
|
DA
|
21
|
6.16
|
DA
|
21
|
5.16
|
DA
|
21
|
4.16
|
DA
|
21
|
3.16
|
DA
|
21
|
2.16
|
DA
|
21
|
1.16
|
DA
|
21
|
12.16
|
DA
|
21
|
11.16
|
MD
|
21
|
10.16
|
MD
|
21
|
9.16
|
MD
|
21
|
8.16
|
MD
|
22
|
North
balance
.
|
7
33
|
MD
|
22
|
6.33
|
M
|
22
|
5.33
|
M
|
22
|
4.33
|
M
|
22
|
3.33
|
M
|
22
|
2.33
|
M
|
22
|
1.33
|
M
|
22
|
12.33
|
M
|
22
|
11.33
|
E
|
22
|
10.33
|
E
|
22
|
9.33
|
DA
|
22
|
8.33
|
DA
|
22
|
7.33
|
DA
|
22
|
6.33
|
DA
|
22
|
5.33
|
DA
|
22
|
4.33
|
DA
|
22
|
3.33
|
DA
|
22
|
2.33
|
DA
|
22
|
1.33
|
DA
|
22
|
12
33
|
DA
|
22
|
11.33
|
MD
|
22
|
10.33
|
MD
|
22
|
9.33
|
MD
|
22
|
8.33
|
MD
|
23
|
Scorpions
heart
.
|
8.54
|
MD
|
23
|
7.54
|
MD
|
23
|
6.54
|
M
|
23
|
5.54
|
M
|
23
|
4.54
|
M
|
23
|
3.54
|
M
|
23
|
2.54
|
M
|
23
|
1.54
|
M
|
23
|
12.54
|
M
|
23
|
11.54
|
E
|
23
|
10.54
|
E
|
23
|
9.54
|
DA
|
23
|
8.54
|
DA
|
23
|
7.54
|
DA
|
23
|
6.54
|
DA
|
23
|
5.54
|
DA
|
23
|
4.54
|
DA
|
23
|
3.54
|
DA
|
23
|
2.54
|
DA
|
23
|
1.54
|
DA
|
23
|
12.54
|
DA
|
23
|
11.54
|
MD
|
23
|
10.54
|
MD
|
23
|
9.54
|
MD
|
24
|
Hercules
head
.
|
9.14
|
MD
|
24
|
8.14
|
MD
|
24
|
7.14
|
MD
|
24
|
6.14
|
M
|
24
|
5.14
|
M
|
24
|
4
14
|
M
|
24
|
3.14
|
M
|
24
|
2.14
|
M
|
24
|
1.14
|
M
|
24
|
12.14
|
M
|
24
|
11.14
|
E
|
24
|
10.14
|
E
|
24
|
9.14
|
E
|
24
|
8.14
|
E
|
24
|
7.14
|
DA
|
24
|
6.14
|
DA
|
24
|
5.14
|
DA
|
24
|
4.14
|
DA
|
24
|
3.14
|
DA
|
24
|
2.14
|
DA
|
24
|
1.14
|
DA
|
24
|
12.14
|
DA
|
24
|
11.14
|
MD
|
24
|
10.14
|
MD
|
25
|
Serpents
head
.
|
9.41
|
MD
|
25
|
8.41
|
MD
|
25
|
7
41
|
MD
|
25
|
6.41
|
M
|
25
|
5.41
|
M
|
25
|
4.41
|
M
|
25
|
3
41
|
M
|
25
|
2.41
|
M
|
25
|
1.41
|
M
|
25
|
12.41
|
M
|
25
|
11.41
|
E
|
25
|
10.41
|
E
|
25
|
9.41
|
E
|
25
|
8.41
|
E
|
25
|
7.41
|
DA
|
25
|
6.41
|
DA
|
25
|
5.41
|
DA
|
25
|
4.41
|
DA
|
25
|
3
41
|
DA
|
25
|
2.41
|
DA
|
25
|
1
41
|
DA
|
25
|
12.41
|
DA
|
25
|
11.41
|
MD
|
25
|
10.41
|
MD
|
26
|
The
Eagle
.
|
12.19
|
DA
|
26
|
11.19
|
MD
|
26
|
10
19
|
MD
|
26
|
9.19
|
MD
|
26
|
8.19
|
MD
|
26
|
7.19
|
MD
|
26
|
6.19
|
MD
|
26
|
5.19
|
MD
|
26
|
4.19
|
M
|
26
|
3.19
|
M
|
26
|
2.19
|
M
|
26
|
1.19
|
M
|
26
|
12.19
|
M
|
26
|
11.19
|
E
|
26
|
10.19
|
E
|
26
|
9.19
|
E
|
26
|
8.19
|
E
|
26
|
7
19
|
E
|
26
|
6.19
|
E
|
26
|
5.19
|
DA
|
26
|
4.19
|
DA
|
26
|
3.19
|
DA
|
26
|
2.19
|
DA
|
26
|
1.19
|
DA
|
27
|
Dolphins
tayle
.
|
1.12
|
DA
|
27
|
12.12
|
DA
|
27
|
11
12
|
MD
|
27
|
10.12
|
MD
|
27
|
9.12
|
MD
|
27
|
8.12
|
MD
|
27
|
7.12
|
MD
|
27
|
6.12
|
MD
|
27
|
5.12
|
MD
|
27
|
4.12
|
MD
|
27
|
3.12
|
M
|
27
|
2.12
|
M
|
27
|
1.12
|
M
|
27
|
12.12
|
M
|
27
|
11.12
|
E
|
27
|
10.12
|
E
|
27
|
9.12
|
E
|
27
|
8.12
|
E
|
27
|
7.12
|
E
|
●7
|
6
12
|
E
|
27
|
5.12
|
E
|
27
|
4.12
|
E
|
27
|
3.12
|
DA
|
27
|
2.12
|
DA
|
28
|
Goates
tayle
.
|
1.48
|
DA
|
28
|
12.48
|
DA
|
28
|
11.48
|
MD
|
28
|
10.48
|
MD
|
28
|
9.48
|
MD
|
28
|
8.48
|
MD
|
28
|
7.48
|
MD
|
28
|
6.48
|
MD
|
28
|
5.48
.
|
MD
|
28
|
4.48
|
MD
|
28
|
3.48
|
M
|
28
|
2.48
|
M
|
28
|
1.48
|
M
|
28
|
12.48
|
M
|
28
|
11.48
|
E
|
28
|
10.48
|
E
|
28
|
9.48
|
E
|
28
|
8.48
|
E
|
28
|
7.48
|
E
|
28
|
6.48
|
E
|
28
|
5.48
|
E
|
28
|
4.48
|
E
|
28
|
3.48
|
DA
|
28
|
2.48
|
DA
|
29
|
Water
pourers
leg
.
|
2.48
|
DA
|
29
|
1.48
|
DA
|
29
|
12.48
|
DA
|
29
|
11.48
|
MD
|
29
|
10.48
|
MD
|
29
|
9.48
|
MD
|
29
|
8.48
|
MD
|
29
|
7.48
|
MD
|
29
|
6
48
|
MD
|
29
|
5.48
|
MD
|
29
|
4.48
|
MD
|
29
|
3.48
|
M
|
29
|
2.48
|
M
|
29
|
1.48
|
M
|
29
|
12.48
|
M
|
29
|
11.48
|
E
|
29
|
10.48
|
E
|
29
|
9.48
|
E
|
29
|
8.48
|
E
|
29
|
7.48
|
E
|
29
|
6.48
|
E
|
29
|
5.48
|
E
|
29
|
4.48
|
E
|
29
|
3.48
|
DA
|
30
|
Pegasus
shoulder
.
|
3.47
|
DA
|
30
|
2
47
|
DA
|
30
|
1
47
|
DA
|
30
|
12.47
|
DA
|
30
|
11.47
|
MD
|
30
|
10.47
|
MD
|
30
|
9.47
|
MD
|
30
|
8.47
|
MD
|
30
|
7.47
|
MD
|
30
|
6.47
|
MD
|
30
|
5.47
|
MD
|
30
|
4.47
|
MD
|
30
|
3.47
|
M
|
30
|
2.47
|
M
|
30
|
1.47
|
M
|
30
|
12.47
|
M
|
30
|
11.47
|
E
|
30
|
10.47
|
E
|
30
|
9.47
|
E
|
3●
|
8.47
|
E
|
30
|
7.47
|
E
|
30
|
6.47
|
E
|
30
|
5.47
|
E
|
30
|
4
47
|
E
|
31
|
Pegasus
legge
.
|
4.12
|
DA
|
31
|
3
12
|
DA
|
31
|
2.12
|
DA
|
31
|
1.12
|
DA
|
31
|
12.12
|
DA
|
31
|
11.12
|
MD
|
31
|
10.12
|
MD
|
31
|
9.12
|
MD
|
31
|
8.12
|
MD
|
31
|
7.12
|
MD
|
31
|
6.12
|
MD
|
31
|
5.12
|
MD
|
31
|
4.12
|
MD
|
31
|
3.12
|
M
|
31
|
2.12
|
M
|
31
|
1.12
|
M
|
31
|
12.12
|
M
|
31
|
11.12
|
E
|
31
|
10.12
|
E
|
31
|
9.12
|
E
|
31
|
8.12
|
E
|
31
|
7.12
|
E
|
31
|
6.12
|
E
|
31
|
5.12
|
E
|
32
|
Whales
tayle
.
|
4.24
|
DA
|
32
|
3.24
|
DA
|
32
|
2.24
|
DA
|
32
|
1.24
|
DA
|
32
|
12.24
|
DA
|
32
|
11.24
|
D
M
|
32
|
10
24
|
MD
|
32
|
9.24
|
MD
|
32
|
8.24
|
MD
|
32
|
7.24
|
MD
|
32
|
6.24
|
MD
|
32
|
5.24
|
MD
|
32
|
4.24
|
MD
|
32
|
3.24
|
M
|
32
|
2.24
|
M
|
32
|
1.24
|
M
|
32
|
12.24
|
M
|
32
|
11.24
|
E
|
32
|
10.24
|
E
|
32
|
9.24
|
E
|
32
|
8.24
|
E
|
22
|
7.24
|
E
|
32
|
6.24
|
E
|
32
|
5.24
|
E
|
NOw
this
table
serueth
for
euery
monthe
in
the
yere
(
béeing
exactly
calculated
)
the
time
of
their
béeing
South
,
or
touching
your
Meridian
or
(
as
some
terme
it
)
Noonestead
,
seruing
very
well
the
Seamen
to
take
the
heigth
of
them
with
their
instruments
vpon
the
Sea
,
referring
it
vnto
the
table
of
declination
that
goeth
before
:
the
first
is
the
houres
,
the
second
the
minutes
,
the
thirde
be
the
letters
that
shewe
you
whether
they
be
South
by
day
or
by
night
,
in
the
euening
or
morning
,
in
the
forenoone
or
after
noone
,
The
signification
of
the
letters
in
the
table
.
of
which
the
letter
E
doth
signifie
Euening
,
the
letter
M.
signifieth
Morning
,
the
letters
DM
.
signifieth
day
in
the
Morning
,
and
the
letters
DA.
signifieth
day
in
the
after
noone
(
as
I
sayde
before
)
the
very
houre
and
minute
of
their
beeing
South
.
Nowe
you
sée
that
I
haue
put
to
their
beeing
South
in
the
day
as
well
as
in
the
nighte
,
to
the
intent
to
knowe
the
houre
of
the
night
as
well
by
their
setting
,
as
also
by
your
compasse
,
which
I
shewed
you
in
the
first
chapter
or
rule
,
namely
to
bring
your
.32
.
poyntes
into
24.
houres
:
and
in
like
maner
in
the
fourth
chapter
by
shining
of
the
Moone
to
diuide
the
shining
into
two
equall
partes
,
then
those
parts
(
béeing
equally
deuided
with
the
houre
&
minutes
)
and
the
time
before
their
béeing
South
,
put
togither
,
the
halfe
that
shineth
and
that
,
sheweth
the
iust
rising
of
those
starres
:
and
the
other
time
of
their
shining
after
their
béeing
South
,
sheweth
their
setting
(
as
I
declared
in
the
rule
of
the
shining
of
the
Moone
.
)
Nowe
you
,
séeing
the
table
runneth
from
the
first
day
of
euery
monthe
to
the
.15
.
and
from
the
.15
.
to
the
last
daye
,
muste
consider
(
if
you
will
knowe
the
exacte
time
betwixte
the
first
day
&
the
.15
.
day
,
or
betwixt
the
.15
.
day
,
and
the
last
)
to
do
this
,
looke
how
many
dayes
of
the
monthe
is
passe
eyther
from
the
first
day
,
or
.15
.
day
,
and
pull
foure
minutes
from
that
number
:
for
so
many
days
as
is
past
,
for
euery
day
that
shall
shew
you
the
true
time
of
their
beeing
South
.
That
knowne
,
you
shall
doe
(
as
is
aforesayde
)
for
their
rising
and
setting
.
¶
The
.21
.
Chapter
sheweth
you
the
making
of
a
generall
instrument
,
to
know
the
houre
of
the
day
by
,
throughout
all
the
worlde
.
NOwe
for
the
making
of
your
instruments
for
the
Sea
,
with
their
vses
,
you
shall
repayre
to
the
booke
of
Nauigation
made
by
Martin
Curtise
a
Spaniarde
,
Imprinted
by
M.
Iugge
Printer
to
the
Quéenes
Maiestie
:
else
I
woulde
haue
shewed
you
the
making
of
diuers
instruments
,
as
also
the
making
of
the
equinoctiall
diall
with
his
vse
,
whiche
is
very
profitable
to
knowe
the
houre
of
the
day
by
,
in
all
latitudes
through
the
whole
worlde
,
for
your
compasse
is
not
to
knowe
the
houre
of
the
day
by
in
Sommer
,
neyther
in
the
Morning
nor
Euening
,
neyther
can
you
knowe
when
the
Moone
is
east
or
West
,
she
hauing
North
declination
,
as
béeing
in
the
signe
of
Taurus
,
Gemini
,
Cancer
,
or
Leo
:
bicause
your
compasse
standeth
flatte
as
dothe
your
Horizon
.
The
sunne
and
moone
doth
giue
a
full
shadow
by
the
compasse
.
The
Equinoctiall
diall
giueth
a
true
shadowe
all
the
world
ouer
.
Wherfore
it
is
very
good
for
Sea
menne
to
vse
the
Equinoctiall
dials
,
for
that
it
sheweth
them
the
true
houre
of
the
day
in
all
Latitudes
,
and
also
the
Moone
dothe
giue
a
true
shadowe
in
that
Diall
in
all
Latitudes
,
for
I
doe
knowe
that
Sea
men
are
very
many
times
deceyued
where
it
dothe
flowe
an
East
and
West
Moone
,
or
any
poynt
betwéene
the
Southeast
and
Northeast
.
Bicause
in
setting
the
Moone
with
their
compasse
(
beeing
in
the
North
signes
)
she
séemeth
to
be
East
by
the
Compasse
,
when
she
is
neare
the
East
Southeast
in
hir
course
:
and
in
like
manner
when
the
Moone
seemeeth
West
by
the
compasse
she
shall
be
a
little
more
than
West
Southwest
in
hir
course
:
which
is
a
very
perilous
matter
vnto
them
that
should
put
into
a
tide
,
A
perilous
matter
.
harborowe
,
or
hauen
,
where
he
knoweth
there
is
water
inough
for
him
if
that
he
dothe
come
at
a
full
Sea
,
and
then
by
the
error
of
the
Moones
shadowe
of
the
compasse
he
is
deceyued
:
and
when
he
findeth
the
error
he
thinketh
that
the
cause
thereof
commeth
by
the
occasion
of
some
storme
of
wynde
that
is
lyke
to
followe
,
imputing
vnto
it
that
the
tyde
dothe
not
kéepe
hys
course
,
whereas
the
very
cause
groweth
by
no
other
meanes
but
of
receyuing
a
false
shadowe
by
the
Horizontall
compasse
:
and
especially
if
the
Moone
be
neare
hir
greatest
declination
vnto
the
North
partes
,
that
is
,
in
the
signe
of
Gemini
and
Cancer
.
And
also
that
effect
is
most
preferred
if
the
Dragons
head
be
in
the
beginning
of
the
signe
of
Aries
:
for
that
then
if
the
Moone
be
in
the
beginning
of
Cancer
,
she
shall
haue
.5
.
degrées
more
in
declination
from
the
Equinoctiall
,
than
the
sunne
shall
haue
at
their
greatest
declination
vnto
the
North
partes
:
so
that
reseruing
the
Moones
Paralex
,
which
is
according
vnto
the
Latitude
of
any
place
that
the
Moone
shal
be
declined
.28
.
degrées
and
a
halfe
vnto
the
North
part
of
the
Equinoctiall
:
so
that
for
auoyding
of
these
infirmities
,
The
moone
may
decline
28.
degrees
and
a
halfe
from
the
Equinoctiall
.
I
woulde
wishe
them
to
vse
the
Equinoctiall
dials
.
And
furthermore
I
do
thinke
that
the
Equinoctiall
dials
be
not
vsed
amongst
our
Mariners
héere
in
Englande
for
that
the
charges
is
so
muche
in
the
making
of
them
,
&
yet
it
serueth
no
other
turne
but
to
know
the
houre
of
the
day
,
&
to
shew
the
true
shadowe
of
the
Moone
.
I
haue
not
knowne
them
vsed
by
any
English
Master
or
Pylot
,
but
only
by
one
man
,
which
person
had
not
it
for
the
proper
vse
therof
,
but
rather
had
it
,
to
say
that
he
had
suche
an
instrument
as
no
English
man
had
the
like
,
&
to
bragge
that
he
had
such
an
instrument
that
he
could
do
great
feates
therewith
in
the
going
of
long
viages
.
&c.
Of
men
that
wil
haue
instruments
,
and
knowe
not
the
vse
of
them
.
I
would
haue
no
man
offended
with
me
.
I
know
the
nature
and
qualitie
of
some
that
take
charge
:
they
will
haue
instruments
&
other
things
thervnto
apperteyning
,
&
yet
they
them selues
do
not
know
the
vse
of
them
,
yet
they
will
seeme
to
be
cunning
,
&
that
they
néede
no
instructions
of
any
man
,
for
that
they
know
all
things
,
&
yet
in
respect
know
nothing
.
(
But
notwithstanding
)
I
would
wish
them
that
be
Sea
faring
men
to
vse
them selues
to
the
Equinoctiall
dials
:
for
that
they
doe
serue
two
notable
turnes
,
as
well
at
home
in
these
our
chanels
,
as
also
in
long
viages
:
they
may
make
them
with
a
very
easie
charge
:
for
whereas
in
the
Arte
of
Nauigation
it
is
shewed
howe
to
make
them
in
brasse
,
they
may
make
them
with
wood
in
this
manner
:
take
a
péece
of
bordes
ende
of
sixe
inches
broad
,
An
easie
waye
to
make
an
equinoctiall
diall
with
little
charge
more
or
lesse
at
your
discretion
,
and
halfe
an
inche
in
thicknesse
,
then
hauing
cutte
it
rounde
,
and
playned
it
smoothe
,
you
maye
eyther
graue
in
it
the
.32
.
poyntes
of
the
compasse
,
or
else
paynt
them
vpon
it
with
some
colours
,
with
the
.24
.
houres
vpon
bothe
the
sides
:
as
this
figure
sheweth
.
The
Equinoctiall
Diall
.
The
vse
of
this
Diall
is
moste
necessarie
in
a
shippe
,
for
that
you
haue
occasions
to
transporte
your selues
into
all
the
clymates
.
And
to
know
the
true
houre
of
the
day
doe
this
:
set
this
Diall
by
your
compasse
(
the
Directer
vnto
the
Southewardes
)
and
then
(
you
knowing
how
hie
the
pole
is
aboue
the
Horizon
)
set
the
ende
of
the
wyer
right
against
that
degrée
in
the
directer
,
and
the
other
ende
of
the
wier
will
poynt
iuste
vnto
the
pole
,
then
looke
what
shadowe
the
wyer
doth
giue
by
the
Sunne
,
that
is
the
true
houre
of
the
daye
.
In
lyke
manner
you
may
know
the
true
houre
of
the
night
by
the
Moones
shadowe
,
and
also
the
Moone
will
giue
a
true
shadowe
of
hir
place
.
&c.
¶
The
.22
.
Chapter
treateth
of
the
soundings
,
commyng
from
any
place
out
of
the
Occident
Sea
,
to
seeke
Vshant
or
the
Lyzarde
,
and
so
all
alongst
till
you
come
to
the
coaste
of
Flaunders
:
with
other
necessarie
matters
to
be
knowne
,
to
them
that
be
Channellers
,
that
doth
occupie
,
or
deale
amongst
sandes
,
bankes
,
or
such
other
like
.
BIcause
it
is
necessarie
to
be
had
in
memorie
,
for
that
it
is
a
daungerous
place
to
hitte
or
fall
with
,
to
enter
into
the
Sleue
,
comming
homewardes
out
of
Spaine
or
Portugall
,
or
from
Barbarie
,
or
any
other
place
from
the
Southwards
,
a
shippe
that
commeth
from
any
such
place
to
séeke
the
Ile
of
Vshant
,
or
the
Lizarde
in
this
roote
of
sounding
of
a
.
●00
.
or
.90
.
fadoms
shall
finde
bigge
soundings
,
and
shall
be
neare
aboute
to
the
seames
.
The
sounding
neare
vnto
Vshant
and
the
Lizarde
.
In
the
roote
of
.80
.
fadoms
you
shal
find
cockle
shelles
,
and
dentes
in
the
talow
of
the
leade
:
&
in
this
sounding
holde
on
your
course
to
the
North
till
you
chaunge
sounding
,
then
if
you
be
at
.60
.
or
.64
.
fadom
,
you
shall
finde
small
sand
and
Mathey
grounde
,
and
shall
be
neare
the
coaste
of
Vshant
.
If
you
haue
time
and
day
goe
séeke
it
in
the
Northeast
,
and
you
shall
be
aboute
.10
.
leagues
from
the
Ile
.
If
you
come
making
your
course
aboute
Basefréede
,
you
shall
finde
course
sande
,
red
and
browne
,
and
you
shall
haue
sounding
at
.40
.
fadom
:
if
you
be
towardes
the
banke
of
Silley
,
you
shall
haue
soundings
at
86.
or
.90
.
fadom
,
&
you
shall
finde
in
the
tallow
stonie
ground
and
shall
be
well
shotte
towards
the
banke
of
Silley
.
When
you
be
at
.80
.
fadome
you
shall
finde
small
blacke
sande
,
and
shall
be
well
towardes
the
Lizarde
.
When
you
be
at
.60
.
or
64.
fadome
,
you
shall
finde
white
sande
&
white
softe
wormes
,
and
shall
be
verie
nie
to
the
Lizarde
.
Betwéene
the
cape
of
Cornewall
and
Vshant
amidde
the
channell
,
you
shall
finde
70.
fadome
,
&
neare
inough
.
Betwéene
Dodman
&
the
Forne
in
the
channell
you
shall
haue
.40
.
or
.50
.
fadome
.
If
you
be
thwarte
of
Plimmouth
or
the
Starte
,
you
shal
finde
streamie
ground
&
dentes
in
the
tallowe
,
&
soundings
.41
.
or
.42
.
fadoms
.
At
the
comming
from
Portland
you
shall
haue
.35
.
fadoms
,
and
small
shingels
.
And
when
you
be
nie
to
Portland
.30
.
fadoms
,
The
sounding
in
the
channell
.
&
stones
like
beanes
:
&
this
sounding
will
last
till
S.
Aldam
,
&
in
the
sayd
soundings
you
shall
find
white
stones
like
broken
Aules
,
&
other
that
be
bigger
,
&
then
you
shal
be
thwarte
of
S.
Aldam
or
of
the
Ile
of
Wight
.
Two
or
3.
leagues
from
the
Ile
of
Wight
,
you
shall
finde
.25
.
fadome
,
with
dentes
&
cleftes
in
the
tallow
like
smal
thréedes
.2
.
or
.3
.
leagues
from
the
Caskettes
you
shall
finde
.40
.
fadome
&
bigge
stones
ragged
and
blacke
.
Betwéene
the
Ile
of
wight
&
the
hagge
,
the
deepest
is
but
.35
.
or
.40
.
fadome
.
Betwéene
the
Ile
of
Wight
&
Lantergate
the
déepest
is
but
.25
.
or
.30
.
fadome
.
Betwéene
Beachy
&
the
Ile
of
Wight
,
a
league
from
the
land
,
you
shall
finde
.38
.
fadome
,
and
poppell
as
bigge
as
beanes
.
Betwéene
Fairely
and
the
water
of
Summe
in
the
déepest
but
.25
.
fadom
.
Betwéene
Folkestone
and
Bollayne
is
a
banke
that
is
called
Rippe
rappe
:
and
lieth
in
the
midde
way
betwéene
Pickardie
and
Englande
:
and
harde
aborde
by
it
,
is
.26
.
or
.27
.
fadome
.
In
the
straights
of
Calice
is
.30
.
fadom
,
in
the
roade
of
Calice
is
.16
.
fadom
.
And
alongst
the
coast
of
Flaunders
is
but
.20
.
fadome
the
déepest
.
Thus
muche
haue
I
sayde
for
the
entrance
of
the
Sléeue
,
to
come
to
the
riuer
of
Thames
,
The
higth
of
the
pole
at
the
entrance
of
the
Sleeue
.
and
in
the
entrance
in
the
mid-way
betwéene
Vshant
and
the
Lizarde
the
pole
Articke
is
eleuated
.50
.
degrées
and
a
halfe
,
and
the
Equinoctiall
is
lifted
aboue
the
Horyzon
.39
.
degrees
and
a
halfe
.
And
furthermore
for
them
that
are
channellers
and
occupiers
amongst
sandes
and
banckes
,
and
such
other
like
,
they
muste
haue
consideracion
of
these
things
followyng
.
Necessary
things
to
be
noted
for
them
that
are
Channellers
&
dealers
amongst
sandes
.
As
this
:
firste
(
if
you
knowe
how
the
channell
doth
lie
right
betwéene
any
.2
.
sandes
)
you
must
view
the
land
to
take
some
markes
for
it
,
in
this
manner
to
be
a
leadyng
marke
.
And
that
you
shall
do
thus
:
looke
something
that
standeth
farre
into
the
lande
,
that
you
may
knowe
it
well
being
right
open
with
the
channell
of
the
sandes
,
then
take
an
other
marke
neare
vnto
the
water
side
,
and
the
one
to
be
right
agaynst
the
other
,
when
that
you
be
in
the
middle
of
the
channell
,
and
then
you
knowing
these
twoo
markes
well
,
they
will
be
leading
markes
vnto
you
for
euer
to
keepe
that
channell
.
And
then
furthermore
if
it
dothe
so
happen
that
the
channell
doth
turne
to
kéepe
an
other
course
,
or
els
(
some
other
daunger
lying
in
the
way
)
you
muste
haue
a
thwarte
marke
to
know
bothe
when
that
you
are
cleare
of
any
daunger
,
and
also
when
that
you
are
open
of
an
other
channell
,
and
that
you
shall
do
as
before
is
declared
,
to
take
some
marke
within
the
lande
,
and
also
an
other
neare
vnto
the
sea
,
water
or
riuer
side
,
to
be
your
thwarte
marke
when
you
bring
them
both
together
.
And
this
is
moste
specially
to
be
noted
:
that
these
markes
be
very
yare
and
good
when
the
one
is
farre
distant
from
the
other
:
and
those
markes
very
slowe
and
asketh
some
distance
in
sayling
to
open
and
shette
them
,
whiche
are
neare
together
vpon
the
lande
.
And
furthermore
,
for
them
that
are
Channellers
or
occupiers
amongest
sandes
,
for
that
the
weather
is
not
alwaies
cleare
,
when
they
haue
occasion
to
passe
thorowe
suche
places
,
it
is
good
for
them
to
sounde
the
channelles
perfitely
,
and
to
know
by
the
depthe
,
what
side
of
the
channell
they
are
vpon
,
and
also
howe
farre
they
are
shotte
into
that
channell
.
And
also
in
like
manner
to
know
by
the
sounding
of
any
of
the
sides
of
the
channell
,
whether
they
be
neare
any
of
the
sandes
or
daungers
,
or
any
breadth
of
:
for
that
some
sandes
or
daungers
there
be
hauing
fayre
or
good
soundings
or
shaldings
,
that
they
may
borrowe
of
and
on
at
their
pleasure
.
There
be
againe
some
sandes
and
daungers
that
there
is
no
borrowing
nor
sounding
of
them
,
and
those
be
neall
or
déepe
,
harde
vnto
the
sandes
or
daungers
:
for
that
the
water
is
déepe
harde
vnto
the
sande
:
and
these
are
verie
daungerous
sandes
for
any
shippe
to
come
neare
,
for
that
they
shall
haue
the
water
verie
déepe
,
and
by
and
by
be
a
grounde
.
Yet
furthermore
it
is
very
good
for
them
that
be
channellers
and
occupiers
amongst
sandes
,
to
know
whiche
way
the
tide
doth
set
at
euery
time
of
the
tide
:
for
that
many
times
it
happeneth
so
,
that
when
the
sandes
be
vnder
the
water
,
the
tide
doth
set
crosse
the
channell
,
which
is
a
daungerous
matter
if
it
be
not
very
well
considered
by
the
Master
or
Pilote
.
&c.
¶
The
.23
.
Chapter
,
is
as
touching
the
variation
of
the
Compasse
,
called
the
Northeasting
and
the
Norwesting
of
the
Compasse
:
and
how
to
giue
a
gesse
to
know
the
Longitude
.
AS
touching
the
variation
of
the
compasse
called
the
Northeasting
or
Norwesting
,
it
is
supposed
that
the
Compasse
doth
varie
by
proportion
,
in
the
sayling
to
the
Eastwards
or
Westwardes
:
and
(
as
I
haue
declared
in
the
end
of
the
.6
.
chapter
)
if
it
varieth
by
proportion
that
the
Northpoint
is
varied
one
poynt
from
the
North
at
.22
.
degrees
and
a
halfe
,
Of
the
compasse
to
varie
by
euen
proportion
.
and
so
vntill
the
North
point
doth
stande
Northeast
or
Norwest
.
And
that
is
,
when
you
are
.90
.
degrées
from
the
Meridian
that
the
compas
was
made
at
to
the
Eastwardes
or
Westwards
.
Some
also
are
of
an
other
opinion
,
that
the
compas
doth
varie
by
no
proportion
,
Of
the
compasse
to
vary
by
no
proportion
.
but
dothe
varie
according
vnto
the
nature
of
some
kinde
of
mineralles
,
that
is
,
in
some
countrie
or
some
kynde
of
Ilandes
,
that
drawe
the
Compasse
by
the
mines
of
the
Loade
stone
or
Magnes
stone
that
they
tauche
their
compasse
with
when
they
make
them
.
And
furthermore
the
booke
of
Martine
Curtise
,
(
called
the
arte
of
Nauigation
)
sayeth
that
the
compasse
doth
varie
by
proportion
,
in
this
manner
:
which
is
,
by
the
proportion
of
a
circle
:
for
that
the
North
poynt
dothe
alwayes
poynt
vnto
a
place
in
the
heauens
that
is
vnmoueable
,
and
therefore
as
you
do
transporte
your selfe
to
the
Eastwarde
or
Westwarde
,
the
North
poynt
doth
still
poynt
vnto
that
place
in
the
heauen
:
Of
the
compasse
to
varie
according
vnto
the
proportion
of
a
circle
,
that
is
swiftly
&
slowly
.
wherefore
(
as
he
sayeth
)
when
you
be
.90
.
degrées
in
Longitude
from
the
place
of
the
making
of
your
compasse
,
that
is
,
when
you
be
one
quarter
of
the
circumference
of
the
earth
,
in
that
paralell
the
compasse
will
be
varied
.4
.
poynts
from
the
North
:
and
as
you
do
transporte
your selfe
further
,
then
the
Northe
poynt
of
the
compasse
will
come
nearer
and
nearer
vnto
the
North
:
and
when
you
are
iust
halfe
the
circumference
of
the
earth
,
that
then
the
North
poynt
will
stande
due
Northe
vpon
the
pole
agayne
:
for
that
you
are
come
to
the
same
Meridian
againe
vpon
the
opposite
part
of
the
earth
,
(
as
it
doth
appeare
in
the
third
part
and
.5
.
chapter
,
of
the
saide
booke
of
Martine
Curtise
)
but
if
that
be
true
then
the
compasse
doth
varie
swiftely
at
the
first
and
slowly
afterwardes
in
order
like
vnto
the
Sunnes
declination
:
by
whiche
(
if
it
be
true
)
they
may
very
well
knowe
what
order
the
compasse
doth
varie
by
,
and
so
by
the
variation
you
may
giue
an
neare
estimation
of
the
Longitude
,
and
knowe
in
howe
many
degrées
the
compasse
is
varied
one
poynte
,
twoo
poynts
,
thrée
poynts
,
and
so
the
greatest
variation
whiche
is
foure
poynts
.
Nowe
to
know
the
proportion
doe
this
:
Firste
,
make
a
circle
with
a
payre
of
compasses
,
and
stryke
a
Line
by
the
Center
to
the
circumference
,
which
shall
be
your
Meridian
lyne
,
then
stryke
an
other
lyne
by
the
Center
a
crosse
,
that
you
may
deuide
the
circle
into
foure
equall
partes
,
To
know
in
how
many
degrees
goyng
but
the
Eastwarde
or
Westwarde
that
the
compasse
doth
varie
one
poynt
or
.2
.
points
or
.3
.
points
.
&c.
and
then
(
for
that
fourtie
fiue
degrées
is
the
greatest
variation
)
sette
fourtie
fiue
vnto
the
Easte
parte
and
West
parte
,
deuidyng
euery
one
of
the
quarters
of
the
circle
into
fourtie
fiue
equall
partes
,
accordyng
to
the
greatest
variation
then
make
an
other
circle
of
that
Diameter
,
that
the
circumference
touche
the
Center
of
that
Circle
:
and
deuide
it
as
you
deuide
the
Compasse
after
the
rate
of
twoo
and
thirtie
poyntes
although
you
néede
not
deuide
but
that
side
to
the
Norwardes
,
and
then
the
Northeast
and
Norwest
point
will
fall
vpon
fourtie
fiue
degrées
:
that
done
drawe
lynes
accordyng
to
the
poyntes
of
the
Compasse
vnto
the
Eastwardes
or
Westwardes
,
and
looke
howe
they
fall
vpon
the
lyne
that
commeth
from
the
Center
of
the
other
Circle
of
whiche
euery
quarter
is
diuided
into
fourtie
fiue
equall
partes
:
and
then
(
at
the
very
place
that
the
lyne
doothe
touche
)
drawe
paralell
lynes
in
that
Circle
by
proportion
,
at
the
very
place
to
the
Eastewardes
or
Westwardes
that
the
lyne
of
the
Compasse
falleth
vpon
:
and
that
will
shewe
you
iustly
howe
many
degrées
you
shall
transporte
your selfe
vnto
the
Eastwardes
or
Westwardes
,
for
the
varying
of
the
firste
poynte
,
seconde
poynte
,
and
thirde
poynte
,
and
in
lyke
manner
the
greatest
variation
whiche
is
the
fourthe
poynte
.
So
that
(
accordyng
to
that
order
)
it
will
fall
out
in
this
manner
,
that
the
Compasse
will
be
varied
one
point
at
neare
eleuen
and
⅓
.
To
knowe
how
many
degrees
is
in
the
varying
of
one
poynt
.
It
will
be
varied
two
poyntes
neare
aboute
foure
and
twentie
degrées
and
a
halfe
.
It
will
be
varied
thrée
poyntes
at
fourtie
twoo
degrées
,
and
aboute
a
halfe
.
But
it
will
not
be
varied
the
fourth
point
vntill
you
be
full
foure
score
and
tenne
degrées
from
the
Meridian
that
the
compasse
was
made
at
:
whiche
is
a
very
slow
varying
beyng
.47
.
degrées
and
½
before
the
Compasse
dothe
varie
one
poynt
,
and
betwéene
the
thirde
poynt
and
the
seconde
poynt
beyng
.18
.
degrées
for
the
varying
of
that
poynt
,
and
then
from
the
seconde
poynte
vnto
the
fyrste
poynte
,
it
is
.13
.
degrées
and
better
,
and
last
of
all
from
the
varying
of
one
poynt
to
the
Meridian
it
is
.11
.
If
you
wil
know
howe
many
leagues
a
degree
is
,
repayre
to
the
16.
chapter
.
degrées
and
⅓
parte
,
euery
degree
beyng
according
to
the
parralel
you
are
in
,
which
dothe
alter
according
vnto
your
Latitude
from
the
Equinoctiall
:
for
vnder
the
Equinoctiall
it
is
,
60.
Englishe
miles
,
or
.20
.
English
leagues
vnto
one
degrée
.
In
the
Latitude
of
.60
.
degrées
from
the
Equinoctiall
there
in
that
parralell
it
is
but
.30
.
myles
,
or
.10
.
Englishe
leagues
vnto
one
degrée
.
&c.
as
it
is
plainely
shewed
in
the
.16
.
chapter
of
this
booke
,
wherein
is
an
instrument
shewing
you
howe
many
miles
of
Longitude
will
answere
vnto
a
degrée
in
euery
seuerall
Latitude
by
the
replying
of
a
threed
at
your
discretion
:
so
that
I
conclude
if
the
compas
doth
varie
by
that
ordre
of
proportion
that
Martine
Curtise
dothe
attributs
vnto
it
,
you
may
giue
a
neare
ghesse
to
finde
the
Longitude
by
the
varying
of
the
compas
beyng
neare
vnto
the
Meridian
that
the
compas
was
made
for
.
But
if
you
be
very
farre
from
the
Meridian
that
the
compas
was
made
for
,
then
the
variation
is
so
slowe
that
you
can
haue
no
iudgement
at
all
(
by
the
variation
of
the
compas
)
to
finde
any
Longitude
.
And
furthermore
if
the
compas
dothe
varie
by
that
proportion
that
Martine
Curtise
doth
affirme
,
I
am
of
that
opinion
that
there
may
growe
some
errour
in
proportion
in
those
compasses
that
are
made
for
any
Meridian
:
There
may
growe
some
errour
in
the
proportion
of
the
varying
of
the
Compasse
.
for
those
compasses
that
are
made
here
with
vs
in
Englande
whereof
the
needle
dothe
stande
.4
.
or
.5
.
degrées
vnto
the
Eastwards
of
the
North
(
as
doth
appeare
by
all
the
néedles
made
for
dials
&
also
in
the
compasses
)
if
they
would
haue
the
North
point
to
stande
due
North
,
then
the
ende
of
the
wyers
vnder
the
carde
of
the
compasse
should
stande
foure
or
fiue
degrees
vnto
the
Eastwards
of
the
Flouredeluce
:
wherefore
it
may
be
doubted
that
the
compasse
maye
varie
more
the
one
way
than
it
will
the
other
way
,
by
that
proportion
that
the
ende
of
the
wyre
dothe
stande
beside
from
the
North
poynt
.
For
(
if
in
the
greatest
variation
)
the
ende
of
the
wyre
(
vnder
the
carde
of
the
compasse
)
doth
stande
Northwest
,
the
flouredeluce
of
the
compasse
should
stande
neare
halfe
a
poynt
to
the
Westwards
of
the
Northwest
.
And
in
like
maner
at
the
greatest
variation
,
if
the
ende
of
the
wyre
doth
stande
Northeast
,
then
the
Flouredeluce
should
stande
neare
halfe
a
poynt
vnto
the
Northwards
of
the
Northeast
.
&c.
And
furthermore
heere
is
one
thing
that
I
could
neuer
vnderstande
the
truthe
of
,
and
yet
I
haue
oftentimes
demaunded
the
question
of
dyuers
that
haue
beene
in
the
West
part
,
in
the
bay
of
America
,
Thinges
that
I
can
not
know
.
and
that
is
this
:
Whether
in
the
compasse
there
made
,
or
in
the
dials
that
are
there
made
,
the
endes
of
the
Nedles
doe
stande
due
North
,
or
not
?
and
yet
it
hath
not
beene
my
chaunce
to
méete
with
any
that
can
tell
.
For
if
it
be
so
that
those
Nedles
that
are
there
touched
doe
stande
due
North
,
th●n
it
were
very
good
for
them
that
should
occupie
long
trauerse
vnto
the
Westwarde
or
Eastwarde
,
to
haue
diuers
compasses
ready
made
with
the
Néedle
of
them
vntouched
,
and
to
carie
a
good
Lodestone
with
them
to
touche
those
compasses
when
the
compasse
hath
the
greatest
variation
.
It
is
good
for
these
two
causes
:
the
one
cause
:
it
is
the
better
to
direct
your
course
by
.
But
this
cause
is
very
speciall
,
to
giue
a
neare
gesse
of
the
Longitude
,
that
is
to
say
,
the
compasse
will
varie
more
quickly
(
according
to
the
order
before
written
)
by
which
you
see
they
may
transporte
them selues
further
vnto
the
Eastwards
or
Westwardes
before
that
the
compasse
dothe
varie
one
poynt
,
than
it
dothe
for
the
other
three
poynts
,
so
that
they
are
not
able
to
giue
any
estimation
at
all
,
Of
slowe
varying
of
the
compasse
.
by
the
varying
of
the
compasse
,
to
knowe
any
Longitude
:
for
that
they
may
trauel
more
than
the
quarter
of
the
circumference
of
the
earth
,
before
the
compasse
will
be
varied
one
poynt
backewardes
and
forwardes
.
And
I
do
very
muche
maruell
at
this
,
(
considering
how
many
times
English
men
haue
bene
in
the
west
Indies
)
that
I
can
meete
with
no
man
that
can
tell
whether
the
needels
of
the
Dials
or
compasses
made
there
do
stande
due
Northe
or
not
:
whiche
is
a
thing
that
may
be
easily
knowne
.
For
the
needels
of
the
Dials
it
is
s●ene
séene
,
and
in
like
maner
of
the
Compasses
:
How
easy
it
is
to
knowe
whether
that
the
compasses
made
in
the
West
Indies
▪
do
stand
due
North.
for
if
the
Néedle
of
the
Compasses
there
made
will
not
stande
due
North
,
then
it
is
reformed
vpon
the
Carde
of
the
flye
of
the
Compasse
,
as
if
the
North
ende
of
the
wyers
doe
stande
Northeast
,
then
they
wil
set
Northeast
ouer
it
,
euen
as
we
doe
set
the
ende
of
the
wyers
of
the
Compasses
with
vs
made
neare
halfe
a
poynt
to
the
Eastwardes
of
the
Northe
.
&c.
And
furthermore
it
is
very
good
for
them
that
are
Masters
or
Pylotes
of
shippes
to
note
,
Of
making
notes
of
the
variation
.
when
they
doe
fall
with
any
lande
where
the
Compasse
is
varied
,
to
make
a
remembrance
in
a
booke
howe
many
poyntes
and
degrees
the
Compasse
is
varied
in
euery
place
where
they
come
vnto
,
which
will
be
a
great
helpe
for
them
to
finde
that
place
agayne
.
And
to
finde
the
variation
it
is
declared
in
the
6.
Chapter
.
And
héere
I
leaue
to
trouble
thée
any
further
for
this
time
:
but
shortly
after
this
,
looke
for
two
other
workes
of
myne
,
the
one
called
,
The
shoting
in
great
Ordinance
:
an
other
named
,
A
Treasure
for
Trauellers
:
which
two
Bookes
will
be
profitable
I
trust
for
all
men
.
If
these
my
labours
may
profite
my
Countrey
,
then
haue
I
my
desire
.
And
thus
I
bid
thee
moste
hartily
farewell
.
Notes, typically marginal, from the original text
Notes for div iapy-e42650
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Notes for div iapy-e45690
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Notes for div iapy-e96410
Notes for div iapy-e97040
Notes for div iapy-e97340
Notes for div iapy-e97670
Notes for div iapy-e97920
Notes for div iapy-e98110
Notes for div iapy-e98320
Notes for div iapy-e98890
Notes for div iapy-e99160
Notes for div iapy-e99330
Notes for div iapy-e99500
Notes for div iapy-e99600
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Notes for div iapy-e153170
Notes for div iapy-e153390
Notes for div iapy-e153480
The
Table
of
the
contents
of
this
booke
.
THe
first
chapter
-
of
Nauigation
sheweth
what
the
.32
.
poyntes
of
the
compasse
be
,
and
to
what
vses
they
do
serue
.
Fol.
8.
a
The
.2
.
chapter
-
treateth
of
the
golden
number
or
prime
,
shewing
the
Epact
,
and
by
the
Epact
to
knowe
the
age
of
the
Moone
.
Fol.
9.
b
The
.3
.
chapter
-
teacheth
howe
to
know
by
the
age
of
the
Moone
what
a
clocke
it
dothe
flowe
,
or
is
full
Sea
at
any
place
where
you
do
knowe
what
Moone
maketh
a
full
Sea
.
Fol.
10.
b
The
.4
.
chap.
-
treateth
of
the
Sunne
and
Moones
course
in
the
Zodiacke
,
and
howe
you
shall
knowe
at
what
houres
the
Moone
shal
rise
and
set
at
:
and
at
what
poynt
of
the
Compasse
,
with
other
necessarie
things
.
Fo.
14
▪
a
The
.5
.
chapter
-
is
of
a
table
of
declination
,
commonly
called
of
Seafaring
men
a
Regiment
of
the
sunne
,
exactly
calculated
for
.4
.
yeres
,
and
will
serue
for
.24
.
yeres
,
for
euery
daye
of
the
monthe
.
Fol.
16.
b
The
.6
.
chapter
-
sheweth
howe
to
take
the
height
of
the
Sunne
with
the
Crosse
staffe
.
&c.
Fol.
26.
a
The
.7
.
chapter
-
sheweth
howe
to
handle
the
declination
of
the
Sunne
,
to
know
the
altitude
of
the
north
pole
aboue
the
Horizon
(
the
height
of
the
Sunne
beeing
truly
taken
&
knowne
in
any
place
betweene
the
North
pole
and
the
Equinoctial
)
so
that
the
sunne
be
vnto
the
Southwards
of
you
at
the
taking
of
the
fame
vpon
the
Meridian
.
Fol.
29.
a
The
.8
.
chapter
-
sheweth
you
how
to
handle
the
declination
of
the
Sunne
when
you
are
betweene
the
Equinoctiall
and
the
sunne
,
that
is
to
say
,
the
sunne
to
the
Southwardes
or
Northwards
of
you
,
and
the
Equinoctiall
to
the
Northwards
or
Southwards
,
or
vnder
the
Equinoctiall
,
the
height
of
the
sun
being
truly
knowen
or
taken
.
f.
30.
b
The
.9
.
chap.
-
sheweth
howe
to
handle
the
declination
of
the
sunne
when
you
are
beyonde
the
Equinoctial
,
that
is
to
say
,
betweene
the
South
pole
,
and
the
Equinoctiall
:
with
certen
ensamples
bothe
for
the
South
pole
,
and
the
North
pole
.
Fol.
32.
a
The
.10
.
chapter
-
sheweth
howe
to
handle
the
sunnes
declination
vnto
the
Northward
,
where
the
sunne
doth
not
set
vnder
the
Horizon
:
and
also
to
take
the
sun
at
the
lowest
due
north
.
f.
34.
b
The
.11
.
chap.
-
doth
shew
howe
you
shall
know
the
length
of
the
day
,
and
to
know
how
muche
the
day
is
shortned
or
lengthened
by
the
sunnes
declination
.
Fol.
36.
a
The
.12
.
ch.
-
is
of
the
North-star
.
f.
38.
a
The
.13
chap.
-
doth
shew
you
by
the
sayling
vpon
the
quarter
of
your
compasse
,
in
how
far
sayling
you
do
rayse
a
degree
,
and
what
you
do
depart
from
the
Meridian
.
&c.
Fol.
39.
a
The
.14
.
chapter
-
sheweth
howe
to
knowe
howe
farre
any
lande
is
off
from
you
,
if
you
knowe
the
distance
betwene
any
two
places
,
whether
that
you
do
runne
alongst
by
the
lande
,
or
directly
to
the
shore
,
or
otherwise
with
other
necessarie
things
.
Fol.
40.
a
The
.15
.
chapter
-
treateth
of
the
longitude
.
&c.
Fol.
42.
b
The
.16
.
chapter
-
sheweth
how
many
miles
will
answere
to
one
degree
of
longitude
in
euery
seueral
latitude
betweene
the
Equinoctiall
and
eyther
of
the
two
poles
:
with
the
demonstration
for
that
purpose
,
&
also
the
diuersitie
of
aspects
of
the
Moone
.
fo.
44.
a
The
.17
.
chapter
-
treateth
of
the
longitude
and
latitude
of
certayne
of
the
most
notable
townes
in
Englande
,
and
also
how
long
the
moone
doth
chaunge
at
one
towne
before
an
other
:
with
the
diuersitie
of
the
longest
day
in
sommer
,
from
Southhampton
to
the
northermost
part
in
Scotland
.
Fo.
45.
b
The
.18
.
chapter
-
sheweth
howe
to
sayle
by
the
globe
.
And
to
know
how
much
the
water
is
hyer
than
the
leuell
betweene
any
two
shippes
on
the
Sea
,
which
groweth
by
the
roundnesse
of
the
earth
.
Fol.
47.
a
The
.19
.
chapter
-
is
as
touching
the
making
of
plattes
or
Cardes
for
the
Sea
,
and
not
to
paynt
their
Cardes
as
they
doe
,
but
rather
to
fill
the
vacant
places
with
other
necessarie
matters
:
and
also
of
three
necessary
things
conteyned
in
the
Plattes
or
Cardes
,
with
their
vses
.
Fol.
49.
a
The
.20
.
chapter
-
is
of
the
longitude
and
declination
of
.32
.
notable
fixed
starres
for
Nauigation
,
with
tables
of
their
shining
,
and
at
what
poynt
of
the
compasse
they
do
both
rise
and
set
:
it
hathe
also
tables
for
euery
monthe
in
the
yere
,
declaring
at
what
time
they
wil
be
South
.
&c.
which
wil
continue
these
.100
.
yeres
without
muche
error
.
Fol.
51.
b
The
.21
.
chapter
-
sheweth
you
the
making
of
a
generall
Instrument
,
to
know
the
houre
of
the
day
by
through
out
all
the
worlde
.
Fol.
57.
b
The
.22
.
chap.
-
treateth
of
the
soundings
comming
from
any
place
out
of
the
Occidentall
Sea
,
to
seeke
Vshant
,
or
the
Lizarde
,
and
so
all
alongst
tyll
you
come
to
the
coast
of
Flaunders
:
with
other
necessarie
matters
to
be
knowne
for
them
that
be
Chanellers
,
that
occupie
or
deale
amongst
sandes
,
bankes
.
&c.
Fol.
59.
b
The
.23
chapter
-
is
as
touching
the
variation
of
the
Compasse
,
called
the
Northeasting
and
Northweasting
of
the
Compasse
:
and
howe
to
giue
a
gesse
to
know
the
longitude
.
Fol.
61.
a
FINIS
.