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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 370

An illustration from Analytic geometry and calculus, 1917, leaf 370
nd Ay its projection on OY.That is, Ax = xi+1 — x„ Ay = yi + 1 — ynwhere the values of Ax and Ay arcnot necessarily the same for allvalues of i. Let the value of M foreach of the n points L, Pv P,, • • -, ° pIG 2o7 Pl_1 be multiplied by the correspond-ing value of Ax, and the value of N for the… … / J(C) ( Mdx+Ndy), (C) and is called a line integral along the curve C. The point K maycoincide with the point L, thus making C a closed curve. Ex. 1. Work. Let us assume that at every point of the plane there actsa force which varies from point to point in magnitude and direction. Wewish to find…

Geometry, Analytic · Calculus

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