Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 127
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), … „ = 0, « = 0, p=^Sl+-^, l-e = --- The general eqna- e a- tion becomes (a + ae — a-)- + f = (ex - a — ae)-. Expandingand collecting terms, ?/- = (1 — e-) (2 ax — x), or ?/ ^4(2rtx--x-). Problems. —From the general equation of a conic section referred torectangular axes, obtain: 1. The common…
Geometry, Analytic
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