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Plane and solid analytic geometry; an elementary textbook (1901)

Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 178

An illustration from Plane and solid analytic geometry; an elementary textbook, 1901, leaf 178
s the pointPx moves along the line MN, its polar will revolve aboutP2, the pole of MN. Let the student prove the converse theorem, and alsoboth theorems for the hyperbola and parabola. It follows from this theorem that tangents at theextremities of any chord through Px meet on RS. Forthe pole of… … Fig. 86. 160 ANALYTIC GEOMETRY [Ch. XII, | intersection of tangents at the extremities of chordsthrough any fixed point. This property enables us to construct the polar of anypoint; for any number of points on the polar may be

Geometry, Analytic

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