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Analytic geometry and calculus (1917)

Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 323

An illustration from Analytic geometry and calculus, 1917, leaf 323
nce there is no part of this surface on the negative side of theplane XOY. The surface is called an elliptic paraboloid, and evidently may l>e gener-ated by moving an ellipse of variable magnitude always parallel to theplane XOY, the ends of its axes always lying respectively on the parabolas2 =… … Fig. 189 which is the equation of anhyperbola with its transverseaxis along OX and its conjugate axis along OZ. Placing x = 0, we have = 1, (3) which is the equation of an hyperbola with its transverse axis along OYand its conjugate axis along OZ. If we place z = ± zv and write the resulting…

Geometry, Analytic · Calculus

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