Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 327
Fig. 17 308 ANALYTIC GEOMETRY But then W =1% and, according to Th. 5, § 4, the lines D and D are conjugatediameters of a hyperbola, of which the diagonals of the rec-tangle are the asymptotes. The ratio b/a of the axes of thehyperbola equals the ratio of elongation, I: a Finally, let us show that… … lar hyperbola(5) ^ _ 2/^ _ 1 a- a into the hyperbola (6) __ II— 1 a 62 The two hyperbolas have the sameauxiliary circle, and the same eccentricangle, <^i, for points, P:(a;i, y-^) andP: (iCj, 2/i)) with the same abscissa.Hence, according to the method of parametric representation of a hyperbola…
