Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 208
ch movesin such a way that its distance from a fixed point (the focus)is in a constant ratio to its distance from a fixed straightline (the directrix). PF In the ellipse, the ratio -p-^ PFIn the parabola, the ratio -p^ PF In the hyperbola, the ratio -pj: < 1. = 1. > 1. In all cases this ratio… … 192 PLANE ANALYTIC GEOMETRY. The Asymptotes. 183. We have already shown (§159) thit the equationsof the asymptotes when re-ferred to rectangular co-ordi- ^nates are a b Now since the equation ofthe hyperbola referred to apair of conjugate diametersas axes is of the same form as -^^ ^ \^H when…
Geometry, Analytic
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