Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 95
h reduces to 8 x2 + 9 y — 48 x — 72 y — 936 = 0. 41. The hyperbola. An hyperbola is the locus of a point thedifference of the distances of which from two fixed ptoints is constant. 78 CERTAIN CUEVES The two fixed points are called the foci. Let them be F andF (fig. 74), and let FF be taken as the… … Fig. 74 Since in the triangleFPF the difference of thetwo sides FP and FP isless than FF, it followsthat FF >2a. There is therefore at least one point A between 0 and Fwhich satisfies the definition. Then FA-AF=2a, or (F0 + OA)-(OF-OA-)=2a; whence OA = a. We may therefore place .— = e. where…
Geometry, Analytic · Calculus
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