A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)
Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 103
■»♦■»■ SUCTION IV.Of the Oonic Sections. 107> I^voh,—To produce the Polar Equation of a Conic Section. Solution.—Let P be any point in tlie curve ; EC the edirectrix ; A, the focus and pole ; and AX, the axis ofthe curve ana the polar axis. Let 2p be the latus rectum; e,Boscovichs ratio, whence… … Fig. 80. 108. CoR l.—The JPolar JEquation of the Iarabola. Since in the parabola e = 1, its polar equation is P P 1 — cos 6 , or r == versin 0 109. Cor. %—The JPolar Equation of the Mlipse and Hyperbola in terms of the semi-transverse axis and eccentricity. Since Boscovichs ratio (e) and the…
Geometry, Analytic · Calculus
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