Gravesande, Willem Jacob 's
,
An essay on perspective
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33
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0065
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on PERSPECTIVE.
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firſt found ; </
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<
s
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xml:space
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">and then if Lines be drawn
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xlink:label
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xml:space
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">47.</
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the Repreſentation of the Vertex touching the
<
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Repreſentation of the Baſe, the Repreſentation
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of the Cone will be had.</
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<
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<
s
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xml:space
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">But ſince, according to this Manner, we are
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obliged to find the Perſpective of all the Baſe;
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</
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<
s
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">whereas it often cannot be all ſeen; </
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<
s
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">we may de-
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termine, by the following Method, what Part
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of the Baſe is viſible, and ſo only find the Re-
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preſentation thereof. </
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>
<
s
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xml:space
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">And then, to compleat
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the Cone, we draw Lines from the Extremities
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of the viſible Part of the Baſe, to the Repreſen-
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tation of the Vertex.</
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">53. To determine the viſible Part of the Baſe of
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a Cone.</
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s
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">Let the Circle L I F be the Baſe of a Cone
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<
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">Fig. 21.</
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in the Geometrical Plane, and A the Center
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thereof.</
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<
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.</
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">Aſſume P Q ſomewhere in the Baſe Line,
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equal to the Semidiameter of the Circle L F;
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</
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<
s
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xml:space
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">and from the Point P, raiſe P D G perpendicu-
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lar to the Baſe Line, meeting the Horizontal
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Line in G; </
s
>
<
s
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xml:space
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">and in this Perpendicular, make
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P D equal to the Height of the Cone; </
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>
<
s
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xml:space
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">and draw
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the Line Q D H, meeting the Horizontal Line
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in H. </
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">Then, about the Point A as a Center,
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and with the Radius G H, draw the Circle B C E; </
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and from the ſaid Point A, draw a Line to the
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Station Point S: </
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">Biſect A S in R; </
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xml:space
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">and about
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R, as a Center, with the Radius R A, deſcribe
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the Circular Arc B A C, cutting the Circle BEC
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in the Points B and C. </
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<
s
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">Draw the Lines B A F,
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and C A L; </
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<
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xml:space
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">and the viſible Portion, (L I F) </
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