Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 280
e wholly on the surface.* Thehyperbolic paraboloid and the coneare further examples of ruled sur-faces, as may be shown by treatingtheir equations like the above. 161. The hyperboloid and itsasymptotic cone. The hyperboloid a b^ dand the cone are closely related. It is clearthat, since the… … Fig. 108 * See Salmons Geometry of Three Dimensions, Cliap. VI. 264 EQUATIONS OF THE SECOND DEGREE [Cii. XIII relatively nearer. In fact, the hyperboloid may be said to betangent to tlie cone at infinity, and bears to the cone a relationentirely analogous to that between the hyperbola and its…
Geometry, Analytic
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