Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 284
ded into n smaller areas by dividing the angle AOB—^ — a into n equal parts, 6 — a each of which equals = A#, n and drawing the lines 0PX, OP^ 0P3, • •-, OPn_v where AOP1 = %OPi=P2OP3= • • •=Pn_105=A^ (In the figure w = 8.) The requiredarea is the sum of the areas of theseelementary areas for all… … 268 APPLICATIONS OF INTEGEATION Then, by geometry, the area of the sector A0/>\ = }2 r^AO,the area of the sectorJ^OB2= ^ r^AO, the area of the sectorB_1OBn = -*rl_xA6.The sum of these areas, namely is an approximation to the required area, and the limit of thissum as n is indefinitely increased…
Geometry, Analytic · Calculus
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