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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 210

An illustration from Elements of analytical geometry and the differential and integral calculus, 1856, leaf 210
we pre-sent the following figure. Let AUD be a curve, and for the sake ofperspicuity we will suppose it to be a circle.Let AC he one semi-diameter, and CD an-other, at right angles to it. Let us commence computation ftom thepoint A, and put AJB=x, and BE=^y. Now the magnitude of y will depend on… … 202 DIFFERENTIAL CALCULUS. by h, the increments of y become less and less as JE approacbesD, and when i5jEbecomes CD, the increment A-becomes nothing.That is, the differential of j is zero when j itself becomes a max-imum. (Art. 28.) The diflferential of an increasing quantity is posi-tive before…

Geometry, Analytic · Calculus

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