Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 340
f P, be {x,, y,) and those of Qi, {x2, 2/2)-Then the equations of ij and D are, respectively, by § 9, (2),and § 6, (2), 62 ^2 ^ 52 (2) a^ o- a Since P, and Q, are on a line witl^ 0, their coordinates areproportional : Xi:y-, = X2:2/2, and hence so are the left-hand sides ofequations (2).… … 322 ANALYTIC GEOMETRY between the asymptotes not containing a branch of the hyper-bola. In this case, too, the theorem is valid, but the pointsPi and P2, instead of being on the same side of 0, are onopposite sides.* Corollary. The points P^ and P^ are on the same or oppo-site sides of 0, according…
