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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 371

An illustration from Analytic geometry and calculus, 1917, leaf 371
4 1 A RTIAL 1) 1F FEI, EN TIATION Now letabe the angle between PR and OX, and 4> the angle between P77and .V. Then 0 = <jt — a and cos 6 — cos «£ cos a + sin <f>-sin a. Therefore X(7 cos <£ eo.s a + 77 sin <f> sin a) ds. But /•cos a is the component of force parallel to OX and… … Ex. 2. Heat. Consider a substance ina given state of pressure p, volume v, andtemperature t. Then p, v, t are connectedby a relation f(p, v, t) = 0, so that anytwo of them may be taken as independentvariables. We shall take t and v as theindependent variables and shall therefore work on the (/, r)…

Geometry, Analytic · Calculus

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