Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 194
intwo points, Pj and Pg. If weallow L to move parallel to ^itself toward the tangent, T,the points P^ and P^ will movealong the curve toward P, thepoint of tangency of T\ and if L approach T as its limit, the points P^ and P2 will approachthe one point P as their limit. It is clear that these… … Fig. 5 176 ANALYTIC GEOMETRY in a single point, the limiting position of the line is a tangent tothe conic* In applying Theorem 2 to the problem in hand, let us denotethe intercept of the tangent T on the axis of y by ft. Theequation of T is, then, (3) 2/ = i-a^ + )S. The coordinates of the point…
