Gravesande, Willem Jacob 's, An essay on perspective

Table of contents

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[11.] Corollary I.
[12.] Corollary II.
[13.] Corollary III.
[14.] Theorem II.
[15.] Corollary I.
[16.] Corollary II.
[17.] Theorem III.
[18.] Theorem IV.
[19.] Corollary I.
[20.] Corollary II.
[21.] Corollary III.
[22.] Corollary IV.
[23.] Theorem V.
[24.] Theorem VI.
[25.] Corollary.
[26.] CHAP. III.
[27.] Problem I.
[28.] Operation.
[29.] Demonstration.
[30.] Remarks.
[31.] Method II.
[32.] Operation.
[33.] Demonstration.
[34.] Remarks.
[35.] Method III.
[36.] Operation.
[37.] Demonstration.
[38.] Remark.
[39.] Method. IV.
[40.] Operation, Without Compaſſes.
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4117on PERSPECTIVE. the Appearance of the Line A E, is a Part 1113. the Line E D. Now, ſince the Point A is in
the two Lines A B, A E;
the Appearance of
the ſaid Point will likewiſe be in the Appear-
ances of the aforeſaid two Lines, and conſequent-
ly is in the Point a, the common Section of B V
and E D.
Remarks.
24. If the Diſtance of the Eye be ſo great, that
one of the Points of Diſtance cannot be deno-
ted upon the horizontal Line;
another Point, F,
muſt be uſed, diſtant from the Point of Sight
by about one third, or fourth Part of the Di-
ſtance of the Eye.
But then, a correſpondent
Part of the Perpendicular A B muſt be likewiſe
taken, and laid off from B to G, in the Baſe
Line.
25. And in this manner may the Repreſentation
of a very diſtant Point be found, if its Diſtance
from the Perſpective Plane be known, together
with the Place wherein a Perpendicular drawn
from that Point cuts the Baſe Line.
For, having
firſt drawn a Line, as B V, from the ſaid Point
of Concurrence to the Point of Sight, then B E
muſt be aſſum’d in the Baſe Line;
for Example,
equal to the tenth Part of the Diſtance of the
Point whoſe Repreſentation is ſought;
and V H
in the Horizontal Line, likewiſe equal to the
tenth Part of the Eye’s Diſtance.
Then C, the
Interſection of B V and E H, will be the Appear-
ance ſought.
Note, By this Method may be found the Deep-
nings in Pictures.
The Appearance of the Point A may yet be
otherwiſe found, without drawing the Line B V
from the Point A, in taking B I equal to B

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