Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 177
GEOMETRY. Cor. 2. The equation of the hyperbola conjugate to (1)may be put under the form ^.2 - (x^ + a^) . . . (4) Subtracting (1) from (4), we have y y = PiP = 2 b y + y hence, an hyperbola and its conjugate are curvilinear asymp-totes of each other. CoK. 3. Subtracting (2) from (4), we have b- y… … Fig. 53. The equation of the hyperbola when referred to OY, OX, IS 1 . (1) THE HYPERBOLA. 163 We wish to ascertain what this equation becomes whenOY, OX the rectilinear asymptotes are taken as axes. Let P be any point of the curve; let YOX = XOX = 6.Then (OC, OF) = {x, y); (OD, DP) = {x, ij). Prom…
Geometry, Analytic
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
