Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 192
Pl5 which are as yet unknown, be (a^, y^). Theequation of this tangent is then, by (12), § 2, (2) a*r + 2W = 3. There are two conditions on the point P1? to serve as a meansof determining the values of xx and yx. In the first place, thetangent (2) at Px must go through the point (— 1, 2); hence (3)… … Fig. 8 186 ANALYTIC GEOMETRY and substitute its value in (4), we obtain, on simplification, thefollowing equation for y1: (6) 32^-4^ + 1 = 0. The roots of this equation are yx = 1 and yx = \; the corre-sponding values of xx are, from (5), 1 and — J. Hence (xh yx)= (1, 1) and (x1} yi) = (— -J, i)…
Geometry, Analytic
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