Gravesande, Willem Jacob 's
,
An essay on perspective
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An ESSAY
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viſible Portions of the ſaid Baſes. </
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xml:space
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Method may be demonſtrated without Algebra,
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but it would be very long.</
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<
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IX.</
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">To find the Accidental Point of ſeveral pa-
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rallel Lines, which are inclin’d to the Geome-
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trical Plane.</
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<
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<
s
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">Let A B be the Direction of one of the Lines,
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<
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whoſe accidental Point is ſought; </
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<
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">and ECP, the
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Angle that the ſaid Lines make with the Geo-
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metrical Plane.</
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<
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.</
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<
s
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">Draw a Line, O D, thro’ the Eye O, parallel
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to A B, and thro’ the Point D, wherein it cuts
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the Horizontal Line, and which is the acciden-
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tal Point of the Directions of the given Lines,
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draw D F perpendicular to the ſaid Horizontal
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Line; </
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">in which aſſume D G, equal to DO. </
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<
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nally, thro’ the Point G, draw the Line G F,
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making an Angle with the Horizontal Line, equal
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to E C P; </
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<
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xml:space
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">and then the Point F, (the Interſection
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of this Line) and the Perpendicular D F, is the
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accidental Point ſought.</
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<
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<
s
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">Note, When the Lines are inclin’d towards
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the perſpective Plane, D F and G F muſt be
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drawn below the Horizontal Line: </
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<
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riwiſe, when the ſaid Lines are inclin’d towards
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the oppoſite Part of the perſpective Plane, the
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aforeſaid Lines muſt be drawn above the ſaid
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Horizontal Line, as is done here.</
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