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 145
-b)2 9 1 o \-- s—=U. or yz 2 Ex. 12. If the two cones ax2 + by2 + cz2=0, a.x2 + /3y2 + yz2=0 haveeach sets of three mutually perpendicular generators, any two planeswhich pass through their four common generators are at right angled. THE PARABOLOIDS.79. The locus of the equation x2 . y _2za b2 W… … Fig. 38. ellipse lies on OZ if c>0 and on OZ if c<0. The sectionsof the surface by planes parallel to the coordinate planesYOZ, ZOX are parabolas. Fig. 38 shews the form andposition of the surface for a positive value of c. Thesurface is the elliptic paraboloid. §§7!j,ho1 PROPERTIES OF THE…
Geometry, Analytic
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