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 131
int lieon a conicoid. 108 COORDINATE GEOMETRY [ch. vii. Ex. 7. Find the locus of centres of sections of ax2 + by2 + cz2 — lwhich touch <x.v2 +(3y2 + yz2 = l. Am. (ax2 + bf+cz2)2=— + ^¥+ — .a. [3 y 72. Locus of mid-points of a system of parallel chords. It follows from equations (1) and (2) of §… … Fig. 34. Compare the equation to the locus of the mid-points of parallelchords of the ellipse ax2+by2—l. Ex. 1. Find the locus of the mid-points of chords of the conicoidax2 + by2 + cz2 = l which pass through the point (/, g, h).A ns. ax(x —f) + by(y — cj) + cz(z — h) = 0. Ex. 2. Prove that the…
Geometry, Analytic
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