Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 312
into the position P, OL is fixed andLPi becomes LP. OL LP _ -. But OL = x, and LP=: Vy + z^. Therefore the required equation is x; _ y- + z- _ or — — 7^—7^ = 1. b- The change from the equation of the hyjjerbola to that ofthe surface is effected by replacing z by Vy + z^. x^ z^3. The hyperbola ^ —… … Fig. 15. But for the point P, ON = z and NP = Vx + f.Hence the equation of the surface isjj2 + y-^ _ z^ _ or x^ y z-a- a- b 1. The change from the equation of the hyperbola to that of thesurface is made by replacing x by Vx- + y-. We thus see that to obtain the equation of a surface of revo-hition…
Geometry, Analytic
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