Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 178
ND 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 these lines are evidently… … We may let the coordinates of P^, be (^2^i)- Thenthe equation of the tangent at P^ is y^y = mx -{- mx^, andthe equation of the polar of Pj is y^y = mx -\- mxy Theseequations are seen at once to represent parallel lines. 162 ANALYTIC GEOMETRY [Ch. XII, § 86 These two theorems show that the polar of…
Geometry, Analytic
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