Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 178
he coordinates of the point P2 where CP1 cuts thehyperbola be (xv ya). Then the equation of the tangent 2 k b2x2x — a2y2y = a2b2, and the equation of the polar of Px isb2xxx — a2yxy = a2b2. But since Px and P2 are on the same line through the x xorigin, — = —-, and these lines are evidently… … Fig. 89. We may let the coordinates of P2 be (xvy-[)> Thenthe equation of the tangent at P2 is yxy = mx + mxv andthe equation of the polar of P1 is yxy = mx + mxv Theseequations are seen at once to represent parallel lines. 162 ANALYTIC GEOMETRY [Ch. XII, § 86 These two theorems show that the…
Geometry, Analytic
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