Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 268
d for values of xnumerically greater than a the sections are ellipses, in-creasing indefinitely as the cutting plane recedes from theorigin. The sections of the surface made by planes parallel to Ch. V, § 30] QUADRIC SURFACES 251 the X-Y and Z-X-planes are hyperbolas, and it may alsobe shown by the… … Fig. 19. equations __+|--=l and -__| + _ = 1 repre- sent biparted hyperboloids extending along the Y andZ-axes respectively. ■■)■>£ yyw y L If b = c, the equation becomes -- — &- —- = 1, which is a1 c2 <? the equation of a biparted hyperboloid of revolution aboutthe X-axis. The equations,…
Geometry, Analytic
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