Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 161
s its limit, the secant rotates about P as a pivotand approaches the tangent, T, as its limiting position. Thusthe tangent appears as the limit of the secant. If, now, in a given case we can find an expression for theslope of the secant, the limit approached by this expressionwill give us the slope… … 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=|,
Geometry, Analytic
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