Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 182
la intwo points, P1 and P2. If weallow L to move parallel toitself toward the tangent, T,the points Px and P2 will movealong the curve toward P, thepoint of tangency of T; and if L approach T as its limit, the points Px 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) y = -lx + ft. The coordinates of the point P,…
Geometry, Analytic
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