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An elementary treatise on solid geometry, by Charles Smith (1886)

Smith, Charles, 1844-1916 · London, Macmillan and co. · leaf 72

An illustration from An elementary treatise on solid geometry, by Charles Smith, 1886, leaf 72
alled an hyperholoid of two sheets. The intercepts on the axis of x are real, those on the othertwo axes are imacjinarv. The sections by the planes 2/ = 0 and ^ = 0 are hyper-bolas. The section by the plane a^ = 0 is imaginary. The parallelplane ijc = h does not meet the surface in real points… … If & = c, the section by any plane parallel to a? = 0 is a circle. Hence the surface is that formed by the revolution x^ ifof the hyperbola -^ — ^ = 1 about its transverse axis. \ 69. The surface whose equation is Ax^ + B\f + Cz^ = 0 isa cone. 4—2 52 THE CONE. A cone is a surface generated by…

Geometry, Analytic -- Solid

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