Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 163
rge. Some other method must be found to determine thelimit of the sum as n increases indefinitely. This method is fur-nished by the discussion in the following sections. 146 SLOPES AND AREAS 79. Differential of area. Let any one of the rectangles offig. 125 be redrawn in fig. 127 and relettered,… … that is,whence MNRP < MNQP < MNQS;yAx < A A < (y -\- Ay) Ax, AA i\X AA dA Now as Ax approaches zero as a limit, — - approaches Ax AA dx y is unchanged, and y + Ay approaches y. Hence , which lies between y and y + A?/, also approaches y; that is, £-»-/<-> a) In the differential…
Geometry, Analytic · Calculus
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