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Elements of analytical geometry and of the differential and integral calculus (1866)

Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 225

An illustration from Elements of analytical geometry and of the differential and integral calculus, 1866, leaf 225
cannot bediminished, according to the lawof change, without becoming 0. If, in the equation of the curve, y =fix) . . (1.) ic has a particular value OP, ywill denote the ordinate PM, If X be increased by PQ, de-noted by A, PiKf will change toQN, which we will denote by y\ and we shall have,… … Let US suppose, -as before, that the abscis x has increased fromOP to OQ, aud that the cor-responding ordinate y, has be-come 2/. Draw through thepoints iV and 3/, the secantline iV^J/i If, now, we supposethe point iV to approach 3f,till it becomes consecutive withit, then, 1. The secant line will…

Geometry, Analytic · Calculus

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