Gore, James Howard, 1856-1939 · New York, Longmans, Green, and co. · leaf 137
BOOK V. REGULAR POLYGONS AND CIRCLES. 278. A Regular Polygon is a polygon which is equilateraland equiangular. PROPOSITION I. THEOREM. 279. A circle may be circumscribed about, or inscribed within,any regular polygon. … Let ABODE be a regular polygon. 1. To prove that a circle may be circumscribed about it. Let A, B, and C be any three vertices, and through thempass (by 194) a circle ; let its centre be at 0. Join OA, OB,OC, OD, and OE. Since the polygon is equiangular, Z ABC = Z BCD, and since OB = OC, Z OBC = Z…
Geometry
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