Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 400
Find the area of the part of the cylinderintercepted by the sphere. Let the equation of thesphere be Xs + f + z* = 1 a\ (1) the center being at theorigin (fig. 224), and letthe equation of the cylin-der be f + ~2 - 2 ay = 0, (2)the elements of the cylin-der being parallel to OX.To find the… … 1 a- = 0. (3) From (2), 0, - ^(iHtr=^§ Jfl! = and dA adydx \ •_ a~y - f itive side of t!u Since the area on the positive side of the plane XOY is symmetrica] ■with respect to the plane YOZ, it is twice the area on the positive side ofthe latter plane. Hence we may find this latter area and multiply…
Geometry, Analytic · Calculus
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