This keyboarded and encoded edition of the work described above is co-owned by the institutions providing financial support to the Early English Books Online Text Creation Partnership. Searching, reading, printing, or downloading EEBO-TCP texts is reserved for the authorized users of these project partner institutions. Permission must be granted for subsequent distribution, in print or electronically, of this EEBO-TCP Phase II text, in whole or in part.
Thomas
Digges
Robert
Norton
Iohn
Reinolds
Edw:
Allde
Iohn
Tap
Magnus
Church
Mr.
Digges
Mr.
Diggs
M.
Diggs
Corporall
of
the
field
Sargeant
Maior
FOR
as
much
as
by
the
hollow
of
the
Peece
,
the
violence
of
all
shotte
of
Great
Artillerie
is
not
onely
directed
,
but
also
increased
,
I
call
that
hollow
of
the
Peece
,
her
Concaue
Cylinder
Charged
Cylinder
Equally
Bored
Camber
Bored
vacant
Cylinder
The
Mettaline
substance
of
the
Peece
,
of
what
shape
,
kinde
,
or
proportion
soeuer
,
I
call
M.
Digges
Muzle
ring
,
&c.
in
all
principall
Peeces
of
Battery
is
euer
a
perfect
vniforme
comprehended
in
a
Circular
Colume
,
and
two
equall
Circles
,
whereof
the
one
I
call
the
the
other
the
Chambered
Cambered
Taper
The
direct
line
,
which
by
Mathematicall
imagination
,
doth
conioyne
the
Centers
of
the
two
Circles
,
is
the
perfect
and
true
direction
of
all
Shott
made
out
of
great
Ordinance
,
I
terme
the
of
that
peeces
Concaue
Cylinder
A
marke
is
said
to
lie
within
Poynt
when
the
being
directed
with
her
conuenient
Bullet
and
Charge
,
is
able
to
strike
and
reach
that
marke
.
Blanke
point
A
marke
is
said
to
lie
within
the
Mettall
of
the
Peece
,
being
dyrected
not
by
the
but
by
the
and
vppermost
ring
of
her
Head
,
and
Coyle
,
is
able
to
reach
the
Marke
.
Mira
Comune
The
difference
of
these
two
Ranges
,
I
call
the
The
Axis
of
the
of
any
Peece
I
terme
that
straite
line
,
which
passeth
between
the
Centers
of
the
two
outermost
Circles
at
the
Coyle
and
Head
of
the
Peece
,
which
in
all
truly
founded
,
is
also
the
very
same
with
the
Axis
of
the
Mr.
Diggs
Concaue
Cylinder
If
the
two
Axis
differ
,
the
Peece
is
false
founded
,
and
then
they
are
either
paralells
,
or
make
an
Angle
:
if
they
be
paralells
,
I
terme
it
the
Distance
of
the
Axes
of
the
If
they
be
not
paralell
,
their
Angles
of
variation
are
considered
two
wayes
;
That
is
to
say
,
in
Altitude
and
Latitude
;
and
those
Angles
accordingly
named
the
Angles
of
Altitude
or
Latitude
of
those
Peeces
.
The
first
part
of
the
violent
course
(
of
a
shott
throwne
out
of
any
peece
of
Ordinance
)
of
Gunners
termed
I
call
the
direct
line
of
the
The
second
part
being
a
Curve
beginning
at
the
foresaid
declination
from
the
Axis
,
ascending
to
the
highest
Altitude
aboue
the
Horizon
,
and
ending
at
a
like
Altitude
to
his
beginning
,
I
terme
for
distinction
sake
his
Crooked
range
Right
Range
The
altitudes
of
any
Bullets
I
call
that
Line
perpendicular
,
which
by
imagination
Mathematicall
,
falleth
from
the
Bullet
,
at
his
very
highest
of
his
Mount
,
perpendicularly
downe
to
the
plaine
Which
line
of
Altitude
,
coupled
together
with
the
right
lines
from
the
Top
and
Foote
,
Concurring
at
the
of
the
Peeces
Circular
Base
,
doth
make
a
right
angled
Triangle
.
The
Horizontall
line
of
that
Triangle
I
call
the
Base
.
The
other
slope
Line
is
the
Hypothenusall
.
The
Peeces
direct
lyne
of
that
Circuit
which
is
alwayes
aboue
the
Hypothenusall
,
(
for
destinction
sake
)
I
call
the
Line
For
that
there
are
seuerall
of
these
to
all
Angles
of
and
together
with
the
doe
comprehend
the
Angle
of
the
Mount
.
Art
of
Artillery
Secant
Range
The
Peeces
I
terme
the
distance
betweene
the
Peece
and
the
first
graze
of
the
Bullet
,
when
the
Peece
vpon
her
discharge
,
lyeth
leuell
vpon
her
Cariage
,
not
mounted
vpon
any
lofty
plat-forme
,
but
such
as
lyeth
,
euen
with
the
true
Horizontall
plane
,
wheron
the
Bullet
must
play
.
Leuell
right
range
All
other
made
on
any
Horizontall
plane
,
by
the
Bullet
,
when
the
Peece
is
mounted
,
at
any
seuerall
I
terme
the
And
because
euery
Peece
hath
some
certaine
grade
,
of
the
Quadrant
whereunto
mounted
,
shee
maketh
her
vttermost
Horizontall
Range
,
in
such
sort
,
that
if
yee
mount
the
Peece
higher
,
the
Bullet
shall
flie
a
shorter
distance
;
and
the
Horizontall
Range
returne
lesse
and
lesse
againe
:
That
point
of
the
vttermost
Randon
Horizontall
,
I
terme
the
And
that
which
serues
for
the
discouery
of
the
different
violence
of
all
Peeces
right
Lines
or
howsoeuer
Mounted
,
(
By
me
called
the
lines
of
the
Bullets
Circuit
,
and
Lynes
Diagonall
,
I
call
for
destinction
sake
Right
Ranges
(
fere
The
other
that
discouereth
the
varietie
of
Ranges
of
all
Peeces
,
at
all
degrees
of
Randon
,
I
call
the
Art
of
Artillery
The
other
Composed
of
All
,
and
by
Conference
of
all
their
parts
together
,
framing
a
of
perfection
,
differing
in
all
planes
Horizontall
,
or
varying
for
all
kinde
of
Peeces
,
and
Bullets
whatsoeuer
;
Their
Ranges
and
Randons
:
The
Altitude
of
their
Circuits
,
together
with
their
Lines
shall
be
named
Mr.
Nicholas
Tartaglia
Saltpetre
,
Sulpher
Point-Blanke
Range
Tropicall
Point
Lines
Diagonall
,
Altitudes
,
Bases
,
Lines
Hypothenusall
Theorikes
,
Scales
Altitudes
,
Lines
Diagonall
Ranges
Horizontall
Calculations
Arithmeticall
WHether
there
be
not
for
any
Peece
proponed
such
a
certaine
quantity
of
Powder
to
be
found
,
as
duly
to
the
charge
of
the
same
Peece
agreeth
,
And
that
in
such
sort
,
that
charging
the
with
more
or
lesse
then
that
quantitie
,
it
shall
hinder
the
farre
ranging
of
the
Bullet
.
Whether
one
and
the
selfe-same
twice
charged
with
one
and
the
selfesame
quantity
of
discharged
also
at
the
same
shall
make
the
same
Ranges
If
a
Peece
be
discharged
with
the
waight
of
his
Bullet
in
and
afterwards
discharged
with
halfe
the
waight
of
his
Bullet
in
such
as
shall
cause
the
Peece
to
cast
the
same
ground
I
demand
if
the
same
Peece
be
againe
Charged
with
halfe
the
quantity
of
either
sort
,
whether
these
shall
also
bee
equall
?
The
forme
of
Charging
being
vniforme
,
and
temper
of
the
Peece
alike
.
Corne
Powder
Sorpentine
Powder
Corne
Powder
If
two
Peeces
of
the
same
Length
and
Bullet
be
charged
with
one
kinde
of
but
seuerall
waights
;
I
demand
whether
the
shall
be
proportionall
to
the
said
waights
,
Or
to
the
rootes
of
the
said
waights
:
Or
whether
the
Proportion
of
the
be
not
to
be
found
,
without
any
further
respect
,
either
to
the
length
of
the
or
Ponderositie
of
the
Considering
(
by
all
those
are
equall
Whether
the
Proportion
found
in
one
kinde
of
hold
not
in
all
other
kindes
,
of
what
mixture
soeuer
it
be
,
the
(
being
as
is
before
supposed
)
equall
?
Whether
the
proportion
of
such
be
not
a
resulting
of
the
Commixion
of
the
equality
of
the
lengths
and
and
the
inequality
of
the
Quantity
?
The
Quallity
being
supposed
alike
.
M.
Digges
Whether
two
being
in
all
respects
equall
,
sauing
only
in
length
,
being
charged
with
one
and
one
quantity
of
shall
not
make
equall
Master
Digges
Whether
the
longer
shall
make
the
greater
whatsoeuer
Quantity
,
or
kinde
of
Powder
they
be
discharged
withall
,
the
Quantity
of
being
equall
Master
Digges
Kinde
of
Powder
Whether
there
be
not
a
certaine
conuenient
Length
of
the
in
respect
of
his
to
make
the
vtmost
in
such
sort
,
that
making
the
longer
,
shall
rather
hinder
then
further
.
Master
Digges
Whether
this
Length
and
proportion
being
found
in
one
hold
in
all
other
(
the
proportion
I
meane
for
the
Length
)
must
of
necessity
alter
?
The
proportion
being
by
Experience
found
with
according
to
the
ordinary
Charge
Whether
giuing
like
quantity
of
Corne
Powder
the
same
shall
hold
or
a
new
bee
sought
,
in
respect
of
the
alteration
of
the
Powder
?
Serpentyne
powder
Corne
powder
Corne
powder
Corne
powder
Art
of
Artillery
If
two
being
in
all
respects
equall
,
saue
only
in
Length
,
bee
discharged
with
one
and
Quantity
of
one
sort
of
make
seuerall
(
at
discharged
)
I
demaund
whether
the
same
proportion
of
shall
still
continue
,
with
whatsoeuer
Quantity
or
kinde
of
Powder
the
same
bee
Charged
?
The
Quantity
being
alwayes
equall
,
and
all
other
Circumstances
in
Charging
and
Discharging
in
either
of
them
alike
?
If
two
Peeces
in
all
respects
alike
,
saue
only
in
length
,
be
charged
with
one
Bullet
,
in
I
demaund
whether
their
Ranges
shall
beare
the
proportion
of
the
length
of
their
or
of
the
from
the
to
the
Or
if
it
beare
not
the
same
proportion
,
whether
they
carry
not
the
proportion
of
the
Considering
all
other
Circumstances
,
all
other
things
being
equall
sauing
only
the
it
is
apparant
,
that
from
their
Proportion
,
as
the
Originall
cause
,
the
proportion
of
must
in
this
case
be
deriued
.
Mr.
Digges
Vacant
and
Charged
Concaue
Cylinder
If
there
bee
three
Peeces
in
all
respects
equall
,
sauing
in
length
of
their
and
yet
those
three
longitudes
proportionall
:
I
demaund
whether
the
of
their
Bullets
shall
not
be
proportionall
?
All
other
Circumstances
saue
only
this
of
Lengths
being
one
,
equall
,
and
alike
.
If
three
Peeces
as
afore
,
hauing
the
Longitude
of
their
hollow
or
vacant
proportionall
,
whether
then
(
all
the
rest
being
equall
and
vniforme
,
)
the
shall
not
be
proportionalls
Or
if
in
one
of
these
Cases
the
proportion
of
the
be
not
a
Meane
Proportionall
resulting
of
the
commixion
of
the
of
the
waights
,
the
of
the
and
the
of
the
Longitudes
of
the
either
whole
or
vacant
If
a
Peece
twice
charg
d
with
one
quantity
of
the
same
but
the
in
waight
different
I
demaund
whether
the
lighter
shall
alway
outsly
the
heauier
,
or
that
some
conuenient
waight
may
be
found
?
Whether
this
conuenient
waight
of
the
Bullet
alter
not
,
according
to
the
Quantity
or
Validity
of
the
Powder
?
Whether
to
finde
the
said
conuenient
Ponderositie
of
the
Bullet
,
it
be
sufficient
to
consider
the
or
that
the
of
the
also
cause
therein
a
diuersitie
If
two
Peeces
be
twice
charged
,
first
with
an
Iron
,
then
with
a
Lead
shott
;
The
Quantityes
of
at
both
times
equall
:
Whether
the
differences
of
the
be
not
deriued
only
from
the
proportions
of
the
of
these
Bullets
?
(
All
other
circumstances
by
proportion
differing
not
)
And
what
relation
to
the
of
the
being
in
all
respects
equall
,
and
charged
with
one
kinde
of
but
different
the
one
Iron
,
the
other
Lead
;
And
either
hauing
the
waight
of
his
I
demaund
whether
the
ranges
be
equall
?
If
one
Peece
bee
charged
three
seuerall
times
,
first
with
a
Stone
Bullet
,
then
with
and
finally
with
Lead
:
And
the
of
such
temper
,
that
it
bee
an
exact
meane
proportionall
in
waight
betweene
the
other
two
,
being
all
discharged
with
one
quantity
of
I
demaund
whether
the
shall
bee
in
continuall
proportion
Whether
a
Peece
being
twice
charged
,
first
with
then
with
hauing
one
quantity
of
and
the
I
demaund
whether
,
being
charged
with
any
other
quantity
of
Powder
,
the
of
the
same
shall
not
alway
retaine
the
same
proportion
?
If
in
a
for
example
by
experience
I
finde
two
such
quantities
of
as
discharging
the
with
the
first
Quantity
of
with
an
shott
;
and
againe
discharging
her
with
the
second
quantity
and
a
Lead
shott
,
they
both
duely
one
ground
:
I
demaund
whether
in
a
of
the
same
Length
with
the
Charging
her
first
with
an
Bullet
,
then
with
a
Lead
vsing
the
same
quantities
of
whether
their
shall
be
proportionals
?
And
whether
doubling
either
quantity
of
it
shall
alter
the
proportion
of
the
If
two
of
one
Length
be
of
such
different
Quantity
of
that
the
one
being
discharged
with
a
the
other
with
an
Iron
either
hauing
the
waight
of
their
and
so
make
equall
I
demaund
whether
either
of
them
discharged
with
halfe
the
waight
of
their
Bullets
in
Powder
shall
alike
also
If
two
Peeces
be
of
one
Length
,
but
of
seuerall
quantity
of
and
yet
of
one
kinde
of
Mettall
or
substance
,
and
discharged
with
the
waight
of
the
in
one
kinde
of
I
demaund
whether
they
shall
not
Range
one
ground
,
being
equally
Mounted
?
If
there
be
once
found
by
experience
in
some
one
Peece
such
a
perfection
of
a
as
whether
yee
make
him
longer
or
shorter
,
hee
shall
Shoot
lesse
ground
,
hauing
alwaies
the
waight
of
his
of
one
kinde
of
to
his
I
demaund
whether
if
another
Peece
whose
is
in
proportion
like
to
the
same
,
although
greater
in
Quantity
,
shall
not
be
of
the
same
perfection
?
If
two
Peeces
hauing
their
similes
or
proportionall
be
discharged
with
the
waight
of
their
Bullets
in
Powder
at
like
I
demaund
the
proportion
of
their
the
quantity
of
their
M.
Digges
Nicholas
Tartaglia
That
euery
Range
or
violent
motion
of
a
body
equally
heauy
bee
it
great
or
small
,
equally
mounted
aboue
the
Horizon
,
or
equally
oblique
or
paralell
to
the
plane
of
the
Horizon
,
they
will
make
their
Ranges
like
,
and
consequently
be
proportionall
in
their
distances
.
Of
any
two
Peeces
presented
,
to
know
which
shall
shoot
furthest
,
being
both
Charged
with
the
waight
of
their
Bullet
in
Powder
,
The
force
of
the
Powder
being
first
in
some
one
approued
?
Any
two
Peeces
proponed
,
how
to
charge
them
with
such
quantity
of
as
they
may
both
at
like
Hauing
proued
any
Peece
at
his
vtmost
with
any
one
kinde
of
to
know
how
to
diminish
the
from
time
to
time
in
such
proportion
,
as
the
Peece
keeping
that
shall
shoote
any
part
you
will
assigne
?
Master
Digges
M.
Digges
Whether
the
right
Line
of
the
vtmost
be
equall
to
the
right
Line
of
the
Or
whether
in
all
Peeces
they
retaine
proportion
?
Whether
the
right
Line
of
the
vtmost
bee
lesse
then
the
right
Line
of
Grades
of
Whether
the
right
Line
of
the
vtmost
Range
be
a
between
the
right
line
of
the
and
the
right
Line
of
the
verticall
viz.
mounted
to
Whether
the
right
Line
of
the
vtmost
be
not
rather
a
meane
proportionall
,
betweene
the
and
that
grade
of
the
ground
of
the
Whether
the
made
by
any
two
Peeces
discharged
,
be
not
proportionall
to
the
of
their
at
the
same
Whether
the
right
Lines
made
by
any
two
Peeces
at
any
bee
not
proportionals
with
their
vtmost
M.
Digges
Whether
the
(
I
meane
to
make
the
vtmost
be
alwaies
one
,
whether
the
ground
bee
leuell
or
ascending
?
Whether
the
Bullet
end
his
with
a
Lyne
,
not
sencibly
different
from
a
straite
Line
;
As
it
doth
begin
his
Circuit
?
Whether
all
Peeces
at
one
as
they
make
one
Angle
at
the
beginning
of
their
course
,
doe
make
one
Angle
at
the
end
of
their
Race
?
Whether
the
Angle
at
the
end
of
the
made
with
the
Bullet
bee
equall
with
the
Angle
of
Whether
the
vpper
part
of
the
made
with
the
Bullet
be
a
proportion
of
a
supposeth
?
No.
Mixt
,
Curved
Helisphericall
Line
If
a
of
three
Inches
Bullet
waigh
pound
,
I
demaund
how
much
a
of
eight
inches
will
waigh
,
that
is
able
to
receiue
his
proportionall
Charge
to
that
M.
Digges
(
fere
If
a
Falcon
of
inches
Bullet
require
pound
of
Powder
for
his
charge
,
I
demand
how
much
Powder
will
charge
a
inches
Bullet
If
the
that
carryeth
paces
,
and
at
the
vtmost
paces
:
I
demaund
how
farre
a
at
his
vtmost
will
reach
,
that
at
or
Leuell
rangeth
And
thus
by
obseruations
vsed
in
one
Peece
,
by
this
Art
of
a
man
may
discouer
the
Force
of
all
Peeces
.
Collado
.
fol.
Mr.
Smith
Art
of
Gunnery
Point
blanke