Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 226
r is at theorigin and which touch the sphere x2 + y-2 + ^-2 _ 8a;- 6?/ + 242; + 48 = 0. 156. Surfaces of revolution. When a curve in tlie XZ-plane isrotated about the JY-axis, it describes a surface of revolution.Every point on the curve, as Q,describes a circle whose plane isperpendicular to the… … Fig. 126 To find the equation of the sur-face described by MQR, replace z in the equation f(x, z)= 0 by itsvalue ^/z^ + y-. By a similar consideration we may find the eqviation of a sur-face of revolution obtained by rotating a given curve about eitherof the other axes. 210 LOCI AND THEIR EQUATIONS…
Geometry, Analytic
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