Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, 1879-, Hill, Theodore Preston. Early American mathematics books. CU-BANC · New York, H. Holt and Company · leaf 87
not composite for any realvalue of k. The plane y = k intersects the surface in the hyperbolax2 z2 68 FORMS OF QUADRIC SURFACES [CHAP. VI. The transverse axis is z = 0, y = k. The conjugate axis isx = 0, y = k. If k = 0, the lengths of the semi-axes are a and c;they increase without limit as k… … If b = c, the hyperboloid of two sheets is the surface of revolution obtained by revolving the hyperbola about its transverse axis. 59. The imaginary ellipsoid. The surface denned by the equation c2 is called an imaginary ellipsoid, Since the sum of the squares ofthree real numbers cannot be…
Geometry, Analytic
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