Gravesande, Willem Jacob 's, An essay on perspective

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[41.] Demonstration.
[42.] Remarks.
[43.] Method V.
[44.] Operation, Without Compaſſes.
[45.] Demonstration.
[46.] Remark.
[47.] Corollary.
[48.] Method VI.
[49.] Operation.
[50.] Demonstration.
[51.] Remarks.
[52.] Corollary.
[53.] Problem II.
[54.] Remark.
[55.] Problem III.
[56.] Method. II.
[57.] Problem IV.
[58.] Example I.
[59.] Example II.
[60.] Remarks.
[61.] Example III. 48. To throw a circle into Perſpective.
[62.] Remarks.
[63.] Prob. V. 50. To find the Repreſentation of a Point, elevated above the Geometrical Planc.
[64.] Operation.
[65.] Demonstration.
[66.] Prob. VI. 52. To throm a Pyramid, or Cone, into Perſpective.
[67.] 53. To determine the viſible Part of the Baſe of a Cone.
[68.] Operation.
[69.] Demonstration.
[70.] Remarks.
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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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