Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 352
. In the former of these the axis Oj/, inthe latter the axis Ox, does not meet the surface.Every hyperboloid of one sheet extends to infinity. 362. Hyperboloid of Two Sheets. The surface representedby the eciuation 9 o o x^ y 2-^^ is called a hyperboloid of two sheets (Fig. 144). XVI, § 365]… … Fig. lU a-J \ a-, these are imaginary as long as h < a;for h>a they are ellipses with ever-increasing semi-axes as we recede fromthe origin. The cross-sections at right angles to 0*/and Oz are hyperbolas. The hyperboloid of two sheets, like that of one sheet andlike the ellipsoid, has three…
Geometry, Analytic
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