Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 352
358-360. In the former of these the axis Oy, 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 equation a- ¥ c2~is called a hyperboloid of two sheets (Fig. 144). XVI, § 365] QUADRIC… … these are imaginary as long as 7i < a;for h>a they are ellipses with ever-increasing semi-axes as we recede fromthe origin. The cross-sections at right angles to Oyand Oz are hyperbolas. The hyperboloid of two sheets, like that of one sheet andlike the ellipsoid, has three mutually…
Geometry, Analytic
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