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 122
equation \ffx + \fgy + \fhz — 0 represents a conethat touches the coordinate planes, and that the equation to thereciprocal cone is fyz+gzx+hxy=0. 22. Prove that the equation to the planes through the originperpendicular to the lines of section of the plane lx+my + nz=0 andthe cone ax2 + by2 + cz2… … Pio Z . 29 We have shewn in §9 that the equation (1) representsthe surface generated hy the variable ellipse /,- 100 COORDINATE GEOMETEY [CH. VII. whose centre moves along ZOZ, and passes in turn throughevery point between (0, 0, — c) and (0, 0, + c). The surfaceis the ellipsoid, and is represented…
Geometry, Analytic
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