Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, b. 1879 · New York : H. Holt and Company · leaf 65
rve describes a circle, whose plane is per-pendicular to the axis of revolution, whose center is on the axisand whose radius is the distance of the point from the axis. To determine the equation of the surface generated by revolvinga given curve about a given axis, take the plane of the given… … Fig. 22. and let P = (a-, ?/, z) be any point on the circle described by Pj.Since the plane of the circle is perpendicular to the X-axis, theequation of this plane is .k = ^,. The coordinates of the center Cof the circle are C = (x^, 0, 0); and the radius CPi is y^. Thedistance from C to P is ,/, =…
Geometry, Analytic
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