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 281
il), we obtain the equation to the conoid. viz., z=f(y/x). Ex. 1. Find the equation to the right conoid generated by lineswhich meet OZ, are parallel to the plane XOY, and intersect thecircle x—a, i/i + s2 = r2. Ans. .r2(:2-r2) + aVJ = 0. b.g. R 258 COOKDINATE GEOMETRY (CH. XIII. Ex. 2. The graph… … Pig. 51 Ex. 4. The curve drawn on the right cylinder x2+y2 = a2 so as tocut all the generators at the same angle is called the right circularhelix. The coordinates of any point on it are easily seen, (fig. 51),to be given by x=acosdi y=asin^ s = a0tana. The conoid generated by lines parallel to the…
Geometry, Analytic
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