Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 406
ig. 232) it is evident that the required volume iseight times the volume in the first octant b6unded by the Burface and thecoordinate planes. In summing up the rectangu-lar parallelepipeds dxdydz toform a prism with edges paral-lel to OZ, the limits for z are 0 and V. x2 y* the latter being found… … ■ VI limit is determined: = 0 in the equation by solving the equation — 4- — of the ellipsoid; for it is in the plane z = 0 that the ellipsoid has thegreatest extension in the direction <>), corresponding to any value of x.Finally, the limits for x are evidently 0 and o. Therefore Jo t/0 Jo…
Geometry, Analytic · Calculus
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