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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 391

An illustration from Analytic geometry and calculus, 1917, leaf 391
ng, the limit of the double sum X X f(r> ^r Ar Ae = fff(r> e^>r dr de- 0-) If the summation in (1) is made first with respect to r, theresult is a series of terms corresponding to strips such as A1Bl C\Diyand the limits of r are functions of 6 found from the equationof the boundary curve.… … DOUBLE INTEGKALS 375 If, on the other hand, the summation is made first with respectto 0, the result is a series of terms corresponding to strips suchas A2B2C\2D2, and the limits of 6 are functions of r found fromthe equation of the boundary curve. The summation with respectto r will then add all…

Geometry, Analytic · Calculus

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