Gravesande, Willem Jacob 's, An essay on perspective

Table of contents

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[121.] Problem I.
[122.] Problem II.
[123.] Operation.
[124.] Demonstration.
[125.] Remark.
[126.] Problem III.
[127.] Method II.
[128.] Operation.
[129.] Demonstration.
[130.] Method III.
[131.] Operation.
[132.] Demonstration.
[133.] Remark.
[134.] Problem IV.
[135.] Problem V.
[136.] Operation.
[137.] Demonstration.
[138.] Problem VI.
[139.] Method II.
[140.] Operation.
[141.] Demonstration.
[142.] Method III.
[143.] CHAP. VI.
[144.] Prob. I.
[145.] Prob. II.
[146.] Demonstration.
[147.] Corollary.
[148.] Method II.
[149.] Operation,
[150.] Demonstration.
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page |< < (70) of 237 > >|
14570An ESSAY
Note, When V I and T a cut each other ve-
ry obliquely, recourſe muſt be had to the Obſer-
vation at the End of the aforegoing Method, or
the following Way may be uſed.
Method III.
86. Let T be the accidental Point of the Lines
11Fig. 47. perpendicular to the Geometrical Plane, thro’
which Point draw a parallel to the Baſe Line,
in which aſſume T R equal to O T of Fig.
44.
Operation.
Aſſume D N ſomewhere in the Baſe Line, e-
qual to the propoſed Line, and draw the Lines
D F and N F to the Point F, taken at Pleaſure
in the Horizontal Line;
then through the Point
a, the Appearance of A, draw the parallel a H,
to the Baſe Line, in which aſſume a Q equal
to G H.
Then if the Lines T a, and R Q be
drawn, and continued, till they cut each other
in the Point X, a X will be the Appearance
ſought.
Demonstration.
The Part a Q of the Line a H, is the 2256. pearance of a Line proceeding from A in the
Geometrical Plane, and which is equal to the
propoſed Line, and parallel to the Baſe Line;
and conſequently , the Line R Q paſſes 3320. the Perſpective of the Extremity of the propo-
ſed Line:
And therefore X the Interſection of
R Q and T a, is the Appearance of the ſaid
Extremity.

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