Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 87
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,… … Fig. 42 b = a and (2) becomes the im-portant form r = 2a cos 6. (3) This equation is also immedi-ately deduced from Fig. 42,since XPO is a right angle. If the pole is taken at thecenter, b — 0 and (1) becomesr = a, (4) which is the simplest form of the polar equation of a circle. 57. Polar equation…
Geometry, Analytic
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