Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, 1879-, Hill, Theodore Preston. Early American mathematics books. CU-BANC · New York, H. Holt and Company · leaf 90
face is symmetric as tothe planes x = 0 and y = 0, but not as to z = 0. As before, let it be assumed that n > 0. The plane z — k inter.sects the surface in the hyperbola y* ~ * a22nk b* If k > 0, the line x — 0, z = k is the transverse axis and y = 0,z = k is the conjugate axis. If &,<… … FIG. 29. The section of the surface by the planes y = fc are the congruent parabolas The vertices of theseparabolas describe theparabola The sections by theplanes x=k arecongruent parabolaswhose vertices describe the parabola ^ = 2n*, ?/ = 0. a2
Geometry, Analytic
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