Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 273
262 PLAXE GEOMETRr Propositiox XI. Theorem 546. By repeatedly doubling tlve number of sides ofregular circumscribed and inscribed polygons of thesame number of sides, and making the polygons alwaysregular: I. Their perimeters approach a common limit, 11. Their areas approach a common limit. … Given P and p the perimeters, R and r the apothems, and Kand k the areas respectively of regular circumscribed andinscribed polygons of the same number of sides. To prove that by repeatedly doubling the number of sidesof the polygons, and making the polygons always regular:I. P and p approach a…
Geometry, Plane · Geometry, Solid
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