Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 287
left. When z = 0, By^ = Gx, a parabola with axis to the right. The hyperbolic paraboloid admits of no variety. Now taking up form (C), By + Cs;^ + H?/ + I« + K ^ 0,we see that it is the equation of a cylinder whose elementsare perpendicular to the plane of YZ, and whose base in theplane of YZ will… … Fig. E. parabolas, and having its right-lined elements parallel to theplane XY and to each other, but oblique to the axes of X and Y. The preceding discussion shows that every equation of thesecond degree between three variables represents one or an-other of the following surfaces : 1. The…
Geometry, Analytic
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