Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 361
embers : 0 <: 1= i+- 1- X It is then apparent tliat any point whose coordinates satisfythe two equations ^ + f = A: l+±h c \ a 2-5 = lfl- X a where A: is an arbitrary parameter, lieson the hyperboloid. These two equa-tions represent for every value of A; (:7b 0)a straight line. The hyperboloid… … Fig. 148 Thus every hyperboloid of one sheet contains two sets of recti-linear generators (Fig. 148). XVT. § 379] QUADRIC SURFACES 349 379. Rulings on a Hyperbolic Paraboloid. l\iv liypcibolicparaboloid (Fig. 149) also contains t?vo sets of recti-linear generators, iiamelv, •2! + y = A-.2c-2, f-ll…
Geometry, Analytic
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