Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 265
a regular polygon is inscribed in a circle, the tangentsdrawn at the mid-points of the arcs subtended by the sides of the in-scribed polygon form a circumscribed regular polygon whose sides areparallel to the sides of the inscribed polygon, and whose vertices lie onthe prolongations of the radii… … Given regular polygon ABCD - • •. To prove: (a) that a circle may be circumscribed about it;(b) that a circle may be inscribed in it. (a) Argument 1. Pass a circumference through points A, B, and C. 2. Connect 0, the center of the circle, with all the vertices of the polygon.Then OB = OC. .. Z1 =…
Geometry, Plane · Geometry, Solid
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