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Analytic geometry and calculus (1917)

Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 287

An illustration from Analytic geometry and calculus, 1917, leaf 287
led an ellipsoid (§ 143, Ex. 5). Ex. 2. The axes of two equal right circular cylinders intersect atright angles. Required the volume common to the cylinders. Let OA and OB (fig. 170) be the axes of thecylinders, OY their common perpendicular attheir point of intersection 0, and a the radiusof the… … NP = -VOP2- ON2 = Va2 - y2.Therefore \ V= FnP* dy = f* (a2 - y8) dy = § a8 Jo t/0 and F=Vl«3- 130. Volume of a solid of revolution. A solid of revolution is asolid generated by the revolution of a plane figure about an axisin its plane. In such a solid a section made by a plane perpen-dicular to…

Geometry, Analytic · Calculus

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