Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, b. 1879 · New York : H. Holt and Company · leaf 82
Arts. 57, 58] THE HYPERBOLOID OF TWO SHEETS 67 If a = b, the hyperboloid is the surface of revolution obtainedby revolving the hyperbola --- = 1, y = o about its conjugate axis. 58. The hyperboloid of two sheets. The locus of the equation d? h c^ = 1 is called an hyperboloid of two sheets. It is… … Fig. 27.The plane z = k intersects the surface in the hyperbola ^2 y2 a^fl + l W{1 + A;2 = 1, z = k. The transverse axis is y = 0, z = k, for all values of k. The They are I ^ / k^lengths of the semi-axes are a\/l H—, &\/l + — smallest for A: = 0, namely a and b, and increase without limit asI…
Geometry, Analytic
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