Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 160
of the other. Taken together, the twohyperbolas form what iscalled a pair of conjugatehyperbolas. The relation-ship between them is per-fect in its duality. Wesay, then, that each is theconjugate of the other. The two hyperbolas to-gether are tangent exter-nally at their vertices to the rectangle… … 142 ANALYTIC GEOMETRY The student should compare these facts with the correspond-ing ones concerning a single ellipse and the circumscribedrectangle. EXERCISES 1. Find the coordinates of the foci, the lengths of the axes,the slopes of the asymptotes, and the value of the eccentricityfor each of the…
