Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 283
— Cs;^ = — L, a hyperbola with itstransverse axis coinciding with the Z-axis. b =0, which gives Ax^ — Cz^ = —Jj, a, hyperbola with itstransverse axis coinciding with the Z-axis. c = 0, which gives Ax^ -f- By^ = — L, an imaginary ellipse. The semi-axes of the first section are i/jz_andt/_. V B V C… … Fig. C. of the surface. Eepresenting the semi-axes by a, b, and c,the equation of the surface may be reduced to the form „9 1 70 o If we suppose A = B, then a = b, and the equation re-duces to x^ + f _ ^ _ 1the hyperboloid of revolution of two sheets. SURFACES OF THE SECOND ORDER. 269 If A = B = C,…
Geometry, Analytic
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