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
is possible only when R <; r, i. e., when the pole is without the circle. When R =r the two tangents become one. OF THE CONIC SECTIONS. 73 Ex. 5. Let the student show from theannexed figure that in the equation r=rcos [d — e)±iVRi—r-^sm^ {6—0^the rational part, rcos {6 — 0), is thechord, A D, of… … ■»♦■»■ 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…
Geometry, Analytic · Calculus
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