Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 108
h. xxii). Let us now suppose the arcs which subtend the sides of thopolygons to be bisected, and new polygons of double the num-ber of sides to be formed: their perimeters will still be toeach other as AL to FM, and if the number of sides be in-creased until the perimeters coincide with the… … Let there be two circleswhose diameters are ALand FM: then will theirareas be to each other asthe square of AL to thesquare of FM. For, suppose two similar polygons to be inscribed in thecircles: then will they be to each other as AL2 to FM*(Th xxiii). Let us now suppose the number of sides of the…
Geometry · Plane trigonometry
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