Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 254
r (2), Art. 174, containsbut two of the variables,the corresponding locus is acylinder (Art. 157). Thecylinders are therefore de-generate quadrics. 182. Pairs of planes. If an equation of the seconddegree is written with itsright member equal to zero,and its left member is thenthe product of two… … Fig. 137 is the equation of the pair of planes ^ + ?^=Oand ?-?/=0.a b a b EXERCISES 1. Construct the cones whose equations are (rt) 9 x2 - 36 if -I- 4 ^2 = 0, and (5) 16 x^ - 4tf - z^ = 0. 2. If in (1), Art. 174, Z> = 0 and A, B, and C are all of the same sign,what is the locus of the equation ?…
Geometry, Analytic
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
