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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 158

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 158
of a conic section tangent to the lines x = (),y = 0 lit the i)oints (a, 0), (0, h) is a b Kxy = 0. (1) The points of intersection of this conic section and the line MK - + ^ = 1, lie in them 11 locus of the equation i? + f_5_?Y = A>,. (2)a b m nj This last equation is homo-geneous of the second… … equation (2) coincide, and - + - — 1 = 0 is tangent to when is a perfect square; that is, whei a b I b m - ^ \rt mj \b 71J I \a mj \b nj 2 S 144 ANALYTIC GEOMETRY whence K= if^- lY/^i - ^Y (3) \(i iiij \h nj Similarly, — + - — 1 = 0 is tangent to (1) when Equations (3) and (4) determine the values…

Geometry, Analytic

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