An elementary treatise on coordinate geometry of three dimensions (1912)
Bell, Robert J. T. (Robert John Tainsh), 1877-1963 · London : Macmillan and co., limited · leaf 264
e into a .straight line and a conic orinto three straight lines. Let O and P, (fig. 50), be the points of the commongenerator at which the surfaces touch and let the measureof OP be y. Take OP as s-axis and O as origin. Let OXand PG be the other generators of the conicoid S, whichpass through O and… … Fig. 50. And since the tangent planes at the origin and (0, 0, y)to S2 are y = 0, x = 0 respectively, the equation to So is <L1xi+by+2yz+2g1zx+Milxy-2yy=Q (2) The tangent planes at (0, 0, z) to Sx and S2 are given bygzx -y(y- sf) = 0, ft: x -!/{y-z) = 0,and hence if g=gx the surfaces touch at…
Geometry, Analytic
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