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Elements of analytical geometry and the differential and integral calculus (1856)

Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 207

An illustration from Elements of analytical geometry and the differential and integral calculus, 1856, leaf 207
198 DIFFERENTIAL CALCULUS. Fig. 3. In every known curve some relation must be given be-tween AF and IM, (fig. 3,)the co-ordinates of the curve.If we represent AP by x,and FMhj y, then y=f(^x).The similar triangles SPM,MQM\ give us the followingproportion: SF : PM :: MQ : QM. Now as we diminish PP…

Geometry, Analytic · Calculus

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