Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 225
ressed in terms of the coordi-nates of the moving point, the resulting equations are called theequations of the curve described by the point. The curve is calledthe locus of the equations. As in plane geometry, two fundamental problems arise: First,given the law (or laws) governing the motion of a… … 208 LOCI AND THEIR EQUATIONS [Chap. XII. 155. The sphere. Let C= (a, b, c) be the center of a sphere whoseradius is r, and P= (x, y, z), anypoint on the sphere. .The lengthof CP is then, r r = V(x - ay -\-{y- hf + {z - cf. Hence, the equation of the sphereis^^ Fxo. 125 (^^ - «) + iV-bf+i^- of =…
Geometry, Analytic
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