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Plane and solid geometry (1912)

Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 419

An illustration from Plane and solid geometry, 1912, leaf 419
the base so that the lateralarea and the total area of the cone cut off shall be one half that of theoriginal cone ? one third ? one nth ? 888. Def. The volume of a cylinder is the common limitwhich the successive volumes of circumscribed and inscribedprisms approach as the number of sides of the… … Given a cylinder, with its volume denoted by Y, its base byB, and its altitude by H,To prove F= B • H. Argument 1. Circumscribe about the cylinder a prism whose base is a regular poly-gon. Denote its volume by v^ andthe area of its base by B\ 2. Then v^ = B - H. 3. As the number of sides of the…

Geometry, Plane · Geometry, Solid

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