Gravesande, Willem Jacob 's, An essay on perspective

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15274An ESSAY the Lines themſelves, and T the Accidental Point
oſ Perpendiculars to the Geometrical Plane.
Operation.
Continue the Line A B until it meets the
Baſe Line in G, and draw the Line G D, which
cut in a and b by Lines drawn from A and B to
the Eye.
Then draw the Lines a F and T b In-
terſecting each other in X;
and a x will be the
Appearance ſought.
Demonstration.
Becauſe a b is the Repreſentation of A 1143. the Appearance of the inclin’d Line is one Part
of a F.
But the Extremity of the inclin’d Line
is in a Perpendicular to the Geometrical Plane
raiſed at the Point B;
therefore the Repreſen-
tation of the ſaid Extremity is in T b, and con-
ſequently x in the Interſection of this Line and
a F.
Method III.
91. Draw F H thro’ the Accidental Point of
the inclin’d Lines, parallel to the Baſe Line,
and equal to o F in Fig.
48. then a is the Perpen-
22Fig. 49. dicular of the Foot of the inclin’d Line whoſe
Perſpective a x may be found as directed n.
70.

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