Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 239
elements are parallel to theJT-axis, contain only y and z ; parallel to the !F-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. 222 ANALYTIC… … 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 = V/M^T2 and OL = x\ The coordinates of iT in the X-P-plane are, therefore,x and Vy2 + z2, and since K is a point on the…
Geometry, Analytic
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