Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 87
/-6)^ = j-2.(&) x2 + y^ = 7-2. The ellipse. X2 ^2_ a2 + ft2 ■ The hyperbola. x^ y2 «2 6-2 - • The parabola. ?/2 = 4:pX. 56. Polar equation of a circle. Let C = (b, a) be the center of acircle of radius a, and P= {r, 0), any point on the circle (Fig. 41).In the triangle COP, we have OC = b,… … Fig. 41 This equation expresses the relation be-tween r and d for any point on thecircle and is, therefore, the-polar equa-tion of the circle. If the initial line passes through thecenter of the circle, a = 0 and (1) re-duces to r^ -I- fe — 2 hr cos 9 = a^. (2) If the pole is taken on the circle,…
Geometry, Analytic
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