Gravesande, Willem Jacob 's
,
An essay on perspective
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 237
>
Scan
Original
131
62
132
63
133
64
134
135
136
137
65
138
66
139
67
140
68
141
142
143
144
69
145
70
146
71
147
72
148
149
150
151
73
152
74
153
154
155
156
75
157
76
158
159
160
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 237
>
page
|<
<
(62)
of 237
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
en
"
type
="
free
">
<
div
xml:id
="
echoid-div219
"
type
="
section
"
level
="
1
"
n
="
115
">
<
pb
o
="
62
"
file
="
0114
"
n
="
131
"
rhead
="
An ESSAY
"/>
</
div
>
<
div
xml:id
="
echoid-div221
"
type
="
section
"
level
="
1
"
n
="
116
">
<
head
xml:id
="
echoid-head122
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Proe</
emph
>
. III.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1472
"
xml:space
="
preserve
">79. </
s
>
<
s
xml:id
="
echoid-s1473
"
xml:space
="
preserve
">To find the Repreſentation of a Figure in the
<
lb
/>
Geometrical Plane, when the Perſpective Plane is
<
lb
/>
placed above the Eye.</
s
>
<
s
xml:id
="
echoid-s1474
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1475
"
xml:space
="
preserve
">When the perſpective Plane is ſituated above
<
lb
/>
the Eye, we ſuppoſe the Geometrical Plane to
<
lb
/>
paſs through the Top of the Perſpective Plane;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1476
"
xml:space
="
preserve
">upon which Geometrical Plane are drawn the
<
lb
/>
Figures of Objects meeting it; </
s
>
<
s
xml:id
="
echoid-s1477
"
xml:space
="
preserve
">as alſo the Seats
<
lb
/>
of thoſe Objects that are underneath it, by
<
lb
/>
Means of Perpendiculars; </
s
>
<
s
xml:id
="
echoid-s1478
"
xml:space
="
preserve
">and the Height of the
<
lb
/>
Eye is here meaſur’d by a Perpendicular drawn
<
lb
/>
from the Eye to the Geometrical Plane; </
s
>
<
s
xml:id
="
echoid-s1479
"
xml:space
="
preserve
">whence
<
lb
/>
the perſpective Plane, elevated in reſpect to the
<
lb
/>
Eye, is the ſame thing, as an Eye elevated in
<
lb
/>
regard to the perſpective Plane.</
s
>
<
s
xml:id
="
echoid-s1480
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1481
"
xml:space
="
preserve
">Let I L be the Baſe Line, and H the Foot of
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0114-01
"
xlink:href
="
note-0114-01a
"
xml:space
="
preserve
">Fig. 42.</
note
>
the vertical Line; </
s
>
<
s
xml:id
="
echoid-s1482
"
xml:space
="
preserve
">then in the Baſe Line aſ-
<
lb
/>
ſume the Points I and L at Pleaſure, towards
<
lb
/>
the Sides of the perſpective Plane. </
s
>
<
s
xml:id
="
echoid-s1483
"
xml:space
="
preserve
">Make I S
<
lb
/>
equal to {1/3} or {1/4} Part of I H, and raiſe the Per-
<
lb
/>
pendicular S X, in the Point S, to the Baſe Line,
<
lb
/>
equal to a correſpondent Part of the Height and
<
lb
/>
Diſtance of the Eye taken together; </
s
>
<
s
xml:id
="
echoid-s1484
"
xml:space
="
preserve
">draw the
<
lb
/>
Line X I G, and moreover Y L Q, in aſſuming
<
lb
/>
L T equal to {1/3} or {1/4} & </
s
>
<
s
xml:id
="
echoid-s1485
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s1486
"
xml:space
="
preserve
">of L H. </
s
>
<
s
xml:id
="
echoid-s1487
"
xml:space
="
preserve
">Again draw
<
lb
/>
the Line G Q in the Geometrical Plane, pa-
<
lb
/>
rallel to the Baſe Line, and diſtant therefrom
<
lb
/>
(for Example) a third Part of the Height of
<
lb
/>
the Eye; </
s
>
<
s
xml:id
="
echoid-s1488
"
xml:space
="
preserve
">draw alſo F P in the perſpective Plane,
<
lb
/>
parallel to the Baſe Line, and diſtant therefrom,
<
lb
/>
a fourth Part of the Eye’s Diſtance; </
s
>
<
s
xml:id
="
echoid-s1489
"
xml:space
="
preserve
">theſe two
<
lb
/>
Lines will cut X I in G and F, and Y L in Q
<
lb
/>
and P. </
s
>
<
s
xml:id
="
echoid-s1490
"
xml:space
="
preserve
">Note, if the Diſtance of G Q from the
<
lb
/>
Baſe Line, had been aſſumed equal to a fourth
<
lb
/>
Part of the Eye’s Diſtance; </
s
>
<
s
xml:id
="
echoid-s1491
"
xml:space
="
preserve
">then F P muſt </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>