Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 268
or 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 iiiid Z-X-planes are liyperbolas, and it may alsobe shown by the… … equations --, + f,-^ sent biparted hyperboloids extending along the Y and Z-axes respectively. If 5 = c, the equation becomes -7; — ^ 1,— ^^ which is the equation of a biparted hyperboloid of revolution aboutthe X-axis. The equations, _±,f_^_^ and -^^-^4-^-1a^ ¥ a^ ¥ ¥ c^ represent biparted…
Geometry, Analytic
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