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.
are
resolved
by
EDM
WINGATE
Nulla dies sine Linea .
Iohn
Dawson
Line
of
Proportion
THE
Line
of
Proportion
is
a
double
scale
,
broken
off
into
tenne
Fractions
,
vpon
which
the
Logarithmes
of
numbers
are
found
out
.
A
Fraction
is
a
tenth
part
of
the
Line
of
Proportion
,
consisting
of
six
Lines
and
fiue
spaces
a
b
c
d
c
d
e
f.
The
Lines
are
those
,
by
which
the
spaces
are
distinguished
a
b
g
h
c
d
c
d
c
d
e
f
The
spaces
are
the
distances
betwixt
the
lines
;
And
they
are
either
greater
,
or
lesse
Line
of
Proportion
a
g
c
d
f
c
e
f
k
Line
of
Proportion
b
h
α
d
l
Ω
m
A
double
scale
,
is
when
two
severall
scales
meete
both
vpon
one
common
Line
Line
of
Proportion
THe
scales
,
whereof
the
Line
of
Proportion
consists
,
are
the
scale
of
the
scale
of
The
scale
of
is
that
described
vnder
the
common
Line
Line
of
Proportion
A
number
being
given
that
exceedes
not
to
finde
it
vpon
the
scale
of
Find
the
first
figure
of
the
number
given
amongst
the
thousands
,
the
figures
placed
at
the
right
end
of
the
fractions
;
thou
amongst
the
hundreds
described
vpon
the
fraction
,
vnto
which
that
first
figure
directs
you
,
search
the
second
figure
of
the
number
given
;
againe
,
for
the
third
figure
count
so
many
tenths
,
as
that
figure
hath
vnities
;
And
for
the
last
figure
count
so
many
vnits
:
This
done
the
point
of
the
common
Line
where
the
last
figure
happens
to
fall
,
is
the
point
that
represents
the
number
given
.
s
,
t
,
u
,
x.
p
n
q
r
THe
scale
of
is
that
described
abouc
the
common
Line
Line
of
Proportion
Line
of
Proportion
FInde
the
first
figure
of
the
number
given
amongst
the
Primes
of
that
scale
;
then
find
the
second
figure
amongst
the
seconds
of
that
Prime
for
the
third
figure
count
so
many
thirds
of
that
second
for
the
fourth
count
so
many
fourths
of
that
third
;
and
lastly
,
if
the
number
fall
in
the
first
,
second
,
or
third
Prime
,
for
the
fift
figure
count
so
many
fifts
of
the
last
fourth
:
this
done
,
the
point
,
where
the
last
figure
falls
vpon
the
common
Line
is
the
point
that
represents
the
number
given
.
A
number
that
consists
of
more
figures
then
fiue
,
and
falls
in
the
first
,
second
,
or
third
Prime
,
is
represented
at
the
point
where
the
fift
figure
falls
:
A
number
that
consists
of
more
figures
then
foure
,
and
falls
betweene
the
beginning
of
the
fourth
Prime
,
and
the
end
of
the
Line
,
is
represented
at
the
point
,
where
the
fourth
figure
falls
:
A
point
of
the
common
Line
in
the
first
,
second
,
or
third
Prime
,
alwayes
giues
you
a
number
,
that
consists
of
fine
places
ε
,
ν
A
point
of
the
common
Line
betweene
the
beginning
of
the
fourth
Prime
,
and
the
end
of
the
Line
,
alwayes
yeelds
you
a
number
composed
of
foure
places
:
PRefixe
the
whole
parts
of
the
number
given
before
the
numerator
of
the
fraction
,
and
thereby
make
them
as
it
were
one
intire
number
;
then
by
the
proposition
aforegoing
finde
the
point
which
represents
that
number
,
which
also
will
be
the
point
,
that
represents
the
broken
number
propounded
.
FInde
vpon
the
scale
of
Numbers
,
by
the
first
proposition
of
the
last
chapter
the
point
that
represents
the
number
given
,
then
by
the
proposition
of
the
second
chapter
obserue
vpon
the
scale
of
Logarithmes
the
number
represented
by
that
point
;
this
done
,
if
you
prefixe
before
that
number
his
proper
Characteristique
,
that
intire
number
is
the
Logarithme
required
.
FInde
vpon
the
scale
of
Numbers
by
the
last
proposition
of
the
last
chapter
the
point
that
represents
the
number
given
;
then
by
the
proposition
of
the
second
chapter
take
vpon
the
scale
of
Logarithmes
the
number
represented
by
that
point
;
this
done
,
if
you
place
before
that
number
his
proper
Characteristique
,
that
is
,
a
figure
consisting
of
so
many
vnities
,
saue
one
,
as
the
whole
parts
of
the
number
given
consists
of
places
,
that
intire
number
is
that
you
looke
for
.
NEglecting
the
Characteristique
of
the
Logarithme
given
,
find
by
the
proposition
of
the
second
chapter
the
point
where
the
other
figures
thereof
are
represented
vpon
the
scale
of
Logarithmes
,
then
by
the
first
proposition
of
the
last
chapter
take
off
vpon
the
scale
of
Numbers
the
number
represented
by
that
point
;
this
done
,
observing
of
how
many
vnities
the
Characteristique
of
the
Logarithme
given
consists
,
take
one
more
of
the
first
figures
,
that
the
number
taken
vpon
the
scale
of
numbers
hath
towards
the
left
hand
,
as
if
the
Characteristique
be
take
one
of
those
figures
,
if
it
be
take
two
,
if
take
three
,
&c.
which
figures
will
be
the
whole
parts
of
the
number
required
,
and
if
there
remaine
any
figures
towards
the
right
hand
,
they
are
the
numerator
of
a
Fraction
,
whose
denominator
is
a
number
consisting
of
an
vnitie
in
the
first
place
towards
the
left
hand
,
and
of
so
many
cyphers
towards
the
right
,
as
there
are
figures
remaining
,
which
fraction
is
the
broken
parts
of
the
number
demanded
.
When
a
Logarithme
,
whose
Charact.
exceeds
falls
within
the
first
,
second
,
or
third
Prime
,
the
first
fiue
figures
of
the
number
,
vnto
which
it
belongs
,
can
onely
be
knowne
When
a
Logarithme
,
whose
Charact.
exceedes
happens
to
fall
betwixt
the
beginning
of
the
fourth
Prime
and
the
end
of
the
Line
,
the
first
foure
figures
of
the
number
,
vnto
which
it
belongs
,
are
onely
discoverable
vpon
the
Line
:
When
you
haue
directed
your
eye
vnto
a
point
vpon
the
common
Line
in
taking
a
n●mber
vpon
either
of
the
scales
,
first
take
the
least
parts
represented
by
that
point
,
and
then
the
rest
in
the
same
order
.
Line
of
Proportion