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Analytic geometry and calculus (1917)

Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 225

An illustration from Analytic geometry and calculus, 1917, leaf 225
Fig. 155 ure, the ratio —- is the average change of direction per linear Regarding </> as a function of 8 and 208 TRANSCENDENTAL FUNCTIONS taking the limit of have -j-i whichas Acb as As approaches zero as a limit, we is called the curvature of the curve at the … and the circle is a curve of constant point ij. Hence the curvature of a curve is the rate of changeof the direction of the curve with respect to the length of thearc (§92). If ~- is constant, the curva-ds ture is constant or uniform;otherwise the curvature is va-riable. Applying this defini-tion…

Geometry, Analytic · Calculus

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