Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 171
ase, is necessarily aparabola. 154 EQUATIONS NOT IN STANDARD FORM [Chap. VIII. As an example, let us reduce the equation x2 — 2 x?/ + 2/2 — 2 2/ - 1 = 0 to the standard form and thus determine the position of the locus. Since ah — fi^ is here equal to zero and lifis not equal to hg, the locus is… … y-- 2y/2 V2 ■ 4V2/ Comparing with (5), Art. 110, wesee that the vertex of the parab-ola, referred to the new axes, is the point ( ^, ^^V If V 4\/2 2V2/the axes are translated so that thispoint is the new origin, the equa-tion reduces to the standard form 9 v2 y =-7-»^> Fig. 92 where the primes…
Geometry, Analytic
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