Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 177
EiG. 87. determined by finding the intersections of tangents atthe extremities of chords through the point. 2. The polar of any point P^ tvith respect to a centralconic is parallel to the tayigent at the.point where the diameterthrough P^ cuts the conic. Y … Fig. 88. Ch. XII, § 86] POLES AND rOLARS 161 Let the coordinates of the point P^ where CP^ cuts thehyperbola be (%,y2)- Then the equation of the tangent 2 y^x^x — a^y^y = «^^^^ and the equation of the polar of P^ ish^x^x — aPyiy = oP-i^But since P^ and P^ are on the same line through the yi ^, and…
Geometry, Analytic
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