Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 173
Fia. 70. 156 THE CONIC SECTIONS [Ch. VIII OM MP OA OB = 1, a property entirely analogous to that of Art. 88 for the ellipse.It enables one to write at once the equation of an hyperbolawith given center and semi-axes, — the axes of the curve beingparallel to the coordinate axes. … \ Y \ « / if. ^x / Xs ^ X A C 1£, B B J ^F ^ \ 0 X \ \ Fio. 71. Fig. a. For example, if the transverse axis is parallel to the avaxis,as in Fig. 71, and the center at the point C = (A, k), and ifP = (x, y) is any point on the curve, then CW MP CA^ CB = 1, I.e., (a>-K)^ (?/-fc)^_l^ [38 a] which…
Geometry, Analytic
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