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An elementary treatise on geometry : simplified for beginners not versed in algebra (1833)

Grund, Francis J. (Francis Joseph), 1805-1863 · Boston : Carter, Hendee & Co. · leaf 125

An illustration from An elementary treatise on geometry : simplified for beginners not versed in algebra, 1833, leaf 125
e of the polygonis a tangent to the circle. For if, in the regular polygonABCDEF, you describe with a radius Og the circumfer-ence of a circle, that circumference will touch the middleof the sides AB, EC, CD, DE, EF, FA, of the polygonABCDEF ; because the lines O^, O^, OZ, &c. are allequal to… … What relation do you observe to exist between two regu-lar polygons, abcdef, ABCDEF, of the same number ofsides ? A. They are similar to one another. Q. How can you prove it ? A. By describing a circle around each of the regularpolygons abcdef ABCDEF, and drawing the radii Oa,06, Oc, Od, Oe, Of OA,…

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