An elementary treatise on coordinate geometry of three dimensions (1912)
Bell, Robert J. T. (Robert John Tainsh), 1877-1963 · London : Macmillan and co., limited · leaf 146
hews the form andposition of the surface for a positive value of c. Thesurface is the elliptic paraboloid. §§7!j,ho1 PROPERTIES OF THE PARABOLOIDS 123 The equation (2) represents the surface generated by the !) ■Ik variable hyperbola ; — /? = —> z—k. The hyperbola Is real for all real values of… … Fio. 39. plane XOY into conjugate hyperbolas whose asymptotes are x2 II2z = 0, -j— r2=0- The sections by planes parallel to YOZ, ZOX are parabolas. The surface is the hyperbolic paraboloid,and tig. 39 shews the form and position of the surface fora negative value of c. 80. Conjugate diametral…
Geometry, Analytic
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