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Analytic geometry (1914)

Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 253

An illustration from Analytic geometry, 1914, leaf 253
loid(Fig. 136). EXERCISES 1. Construct the following surfaces(a) X- + y^ — 8 z.(c) a;2 — 4 z^ = 16 y. (ft) 2/2+ -2 = 4 a;.(d) y- ~ x^ = 10 z. 236 EQUATIONS AND THEIR LOCI [Chap. XIV. 2. Reduce each of the equations x^ +2y^ — (Jx + 4:y + Sz + 11 = 0 andz^ — Sy^ — 4iX + 2z — 6y + l = 0toa, standard… … Fig. 136 4. Discuss the equations z = xy and z =of these equations ? x^ +xy + y^. What are the loci 180. The quadric cone. If tlie constant term D in (1), Art. 174, is zero and the coefficients A, B, C are not all of the same sign, the locus of the equation is a quadric cone. Suppose that C is…

Geometry, Analytic

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