Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 457
of sides of these polygons, and making the poly-gons always regular, the surfaces generated by the semi-perimeters of the polygons as they revolve about thediameter of the semicircle as an axis approach a com-mon limit, OcTLixE OF Proof 1. If iS and s denote the areas ofthe surfaces generated by… … (§ 438). 4. 5. 6. AE S s S — s ^^ = ^(§§419, 435).AB a Ra Ra a R - a S R 7. .*. by steps similar to Args. 6-11 (§ 855), S and s ap-proach a common limit. q.e.d. 970. Def. The surface of a sphere is the common limitwhich the successive surfaces generated by halves of regularpolygons with the same…
Geometry, Plane · Geometry, Solid
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