Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 239
ose elements are parallel to theJT-axis, contain only ?/ and z ; parallel to the y-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… … Fig. 10. point on the surface, and through P pass a plane perpen-dicular to the X-a^sis. The section of the surface madeby this plane is evidently a circle. Hence LP = LK. But LP = V^2 + ^>2 and OL = x. The coordinates of K in the X-F-plane are, therefore, x and VyM^, and since K is a point on…
Geometry, Analytic
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