Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 458
imitwhich the successive surfaces generated by halves of regularpolygons with the same even number of sides approach, if thesesemipolygons fulfill the following conditions: (1) They must be circumscribed about, and inscribed in, agreat semicircle of the sphere; (2) The number of sides must be… … Given sphere 0 with its radius denoted by R, and the areaof its surface denoted by S, To prove 5 = 4 ttJ^, Argument 1. In the semicircle ACE inscribe ABODE, half of a regular polygon with aneven number of sides. Denote itsapothem by a, and the area of thesurface generated by the semiperime-ter as…
Geometry, Plane · Geometry, Solid
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