Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 129
e cos 6 (3) for the polar equation of the ellipse, the left-hand focus beingtaken as the pole. 114 Cor. If If PLANE ANALYTIC GEOMETRY. e = 0, r = a (1 - e) =FA,r = « (1 + e) = FA. e = 90°, r = a{l- e)=a — a cv - b^ = — = FM. a (1 — e^) = a — a a^ — 6^ - = FN.a IfIf If 6 = 180°, r = a (1 + e) = FA,/… … Fig. 38. Let AP, AT be a pair of supplemental chords.The equation of a line through A (a, a) is y = s (x — <x). THE ELLIPSE. 115 The equation of a line through A (— a, o) is y = s{x + a).Where these lines intersect we must have In order that the lines shall intersect 07i the ellipse…
Geometry, Analytic
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