Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 162
CERTAIN GENERAL METHODS 155 Let the coordinates of P be(*i, Vi) 5 those of P, (x, ?/),or (x\ + h, yi + k). Then PQ = h, QP = fc, and we have, for the slope ofthe secant PP. the expression: (2) W=|, … where rthen, (3) £ QPP. The slope of the tangent line, T, at P is, k tan t = lini tan r = linip±p /i=o 7i where t= %. QPT. The sign = is used to mean approaches us its limit. and the expression: lim tan r. is read : the p=p limit of tan/, as P approaches P. Suppose, for example, that P is the point…
Geometry, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
