Gravesande, Willem Jacob 's
,
An essay on perspective
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86
38
An ESSAY
there
;
and
finally
e
A
here
,
E
A
in
that
Fi-
gure
.
This
being
ſuppoſed
,
o
f
is
parallel
to
e
1
1
27
.
and
conſequently
the
Triangle
o
f
a
is
ſimilar
to
the
Triangle
a
e
A
,
and
therefore
we
have
this
Proportion
.
o
f
:
f
a
:
:
A
e
:
e
o
.
Comp
.
o
f
+
a
f
:
f
a
:
:
A
e
+
e
a
:
e
a
.
Altern
.
o
f
+
a
f
:
A
e
+
e
a
:
:
f
a
:
e
a
.
Comp
.
and
Perm
.
o
f
+
f
a
+
Ae
+
e
a
:
o
f
+
f
a
:
:
f
a
+
e
a
:
f
a
.
This
laſt
Proportion
being
reduced
to
the
pre-
cedent
Figure
,
we
ſhall
have
this
,
O
A
:
o
a
:
:
F
D
:
F
a
.
Again
,
becauſe
the
Triangles
O
A
L
and
O
a
G
are
ſimilar
,
we
ſhall
have
O
A
:
O
a
:
:
A
L
:
a
G
.
And
ſince
the
Triangle
F
E
D
and
F
a
H
are
ſimilar
;
F
E
:
F
a
:
:
D
E
:
H
a
.
And
ſo
if
theſe
three
laſt
Propoſitions
be
con-
ſider’d
,
we
ſhall
have
A
L
:
a
G
:
:
D
E
:
H
a
.
But
D
E
was
made
equal
to
A
L
,
and
there-
fore
a
G
or
a
I
is
alſo
equal
to
a
H
,
which
is
2
2
56
.
qual
to
the
Repreſentation
ſought
.
Which
was
to
be
demonſtrated
.
Method
III
.
58
.
Near
one
of
the
Sides
of
the
perſpective
3
3
Fig
.
25
.
Plane
,
raiſe
the
Perpendicular
C
B
to
the
Baſe
Line
,
equal
to
the
Height
of
the
Eye
,
in
which
take
B
L
equal
in
length
to
twice
the
Perpen-
dicular
,
whoſe
Perſpective
is
requir’d
.
Let
S
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