Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 156
determining the point (xi, y^); by c = 0, b = 0, determining(x.j, 1/3) ; by c = 0, d = 0, determining (a;^, y^). Since k is arbi-trary, ac + kbd = 0 represents any one of an infinite numberof conic sections through the four given points. If the conic section is required to pass through a fifth… … 142 ANALYTIC GEOMETRY for Jc. Therefore five points of wliich no three lie in the samestraight line completely determine a conic section. Problems. — Find the equations of conic sections tlirough the fivepoints. 1. (1,2), (3,5), (-1,4), (-3, -1), (-4, 3). The equations of the sides of the…
Geometry, Analytic
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