Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 397
f fa ° ydxdy = — f°(- b°-x + dPz)dx Jo Jab-bx CpJo b2a. Therefore 2 6 3(*-2) 8(»-2) Ex. 2. Find the center of gravity of the area bounded by the two circlesr = a cos 0, r = b cos 6. (J> > a) It is evident from the symmetryof the area (fig. 221) that y = 0. As p is constant, the denominatorof… … )r of x be comes Fig 221 fl fhC°Ser2 77 J a cos 0 cos 0d6dr = K^3- a3) f 2cos Odd = J»(8 -a3). Therefore x = b2 + ab + a2 2 (b + a) AREA 381 180. Area of any surface. Let C (fig. 222) be any closedcurve on the surface f(x, y, z) = 0. Let its projection on theplane XOY be C. We shall assume that the…
Geometry, Analytic · Calculus
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