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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 456

An illustration from Plane and solid geometry, 1912, leaf 456
the proof given for I will apply to Figs. 2 and 3. 967. Cor. I. // half of a regular polygon with an evenninnher of sides is circumscribed about a semicircle, thearea of the surface generated by its semiperiineter as itrevolves ah out tlie diameter ofthe semicircle as an axis, is equalto tlie… … 2. .-. area abc- = {af + fo -\ ) 2 ttE = Ae . 2 7ri?. 968. Cor. n. If half of a regular polygon with an evennumber of sides is inscribed in a semicircle, the area oftlve surface generated by its semi-perimeter as it revolves aboutthe diameter of the semicircle asan axis, is equal to the product…

Geometry, Plane · Geometry, Solid

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