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 218
d tan a = a, and tan a = a. Then aa = —: -—, A and B being the semi- axes. The equation of PC isy=a{x-\-A), and of PB y = a{x — A), disregarding the signs of a and a, since PC and PB are, as yet, any lines passing through C, and B. For the intersection of thest lines these equations are… … D Fig. 303. A^^ B-iA- whence combining the two, we have aa=: — -—. q. e. d. 303, CoK. 1.—By a similar courseof reasoning, or by simply changingthe sign of B^*, we have for the hyper- B^ I? bola aa 306, CoK. 2.—In the ellipse, if supplementary chords are drawn to the extremities of the conjugate…
Geometry, Analytic · Calculus
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