Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 301
2) - 2m - x-,^+ (x.^ + a^) -,=0. One root of this equation is m = -, so that one tangent throughthe given point \^y=:- x, i.e. the asymptote itself. 286 COORDINATE GEOMETRY. 315. Geometrical construction fo7 the asymptotes. Let AA be the transverse axis, and along the conju-gate axis measure off CB… … Clearly the equations of K^CK^ and K^CK^ are h , b y = — x, and y = x, ^ a ^ a and these are therefore the equations of the asymptotes. 316. Let any double ordinate FlSfP of the hyperbolabe produced both ways to meet the asymptotes in Q and Q\and let the abscissa CN be x. Since P lies on the curve,…
Coordinates · Geometry, Analytic
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