Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 126
« 4- 2/ sin a — py. a is the angle which the axis ofthe conic section makes with theX-axis, 1^ the distance from theorigin to the directrix. By assigning to m, n, e, a, p their proper values in anyspecial case, this general eqnation becomes the equation ofany conic section in any position whatever… … a -,e 112 ANAL YTIC GEOMETR Y becomes (ae — .^•)- -\-y- = {ex — a)-. Expanding and collectingterms, / + (1 — e-) X = a- (1 — e-), or ^ + ^ = 1. To obtain the equation of the hyperbola referred to its axisand the tangent at the left-hand vertex, make m — a(l + e),
Geometry, Analytic
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