Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 229
whose elements are parallel to theX-axis, contain only y and z ; parallel to the Z-axis, onlyx and z. 13. Surfaces of revolution. — Surfaces generated by therevolution of a plane curve about one of the coordinateaxes form another class of surfaces whose equations canbe determined easily. 210… … Fig. 10. point on the surface, and through P pass a plane perpen-dicular to the X-axis. The section of the surface madeby this plane is evidently a circle. Hence LP = LK. But LP = VV2 + z2 and OL = x[. The coordinates of K in the X-!F-plane are, therefore,x and Vy2 + z2, and since K is a point on…
Geometry, Analytic
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