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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 224

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d* = -Jd/+r*dd\ cos yfr dr sin yjr = dr rd0ds 105. Curvature. If a point describes a curve, the changeof direction of its motion may be measured by the change ofthe angle <£ (§91). For example, in thecurve of tig. loo, if AJ% — sand im = As, and if <f>l and</>„ are the values of… … 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

Geometry, Analytic · Calculus

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