Gore, James Howard, 1856-1939 · New York, Longmans, Green, and co. · leaf 139
Each angle at the centre of a regular polygon isequal to four right angles divided by the number of sides of thepolygon. Since the triangles OAB, OBC, OCD, etc., are equal, theangles AOB, BOC, COD, etc., are equal. Therefore each angle is equal to four right angles (by 51)divided by the number of… … 286. COR. 3. If a regular inscribed polygon ABCD ••• isgiven, the tangents at the middle points M, N, P, etc., of thearcs AB, BC, CD, etc., form a regular ,circumscribed polygon whose sides are parallel to those of the inscribed polygon,and whose vertices A , 73, C, etc., lie onthe radii OAA, OBB…
Geometry
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