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Elements of geometry and trigonometry (1835)

Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 111

An illustration from Elements of geometry and trigonometry, 1835, leaf 111
polygon. BOOK V. Ill Scholium 2. To inscribe a regu-lar polygon of a certain number ofsides in a given circle, we have onlyto divide the cireumterence into asmany equal parts as the p<jlyg<»nlias sides : tor the arcs being equal.the chords AU, BC, CD, &c. willalso be equal ; hence… … PROPOSITION III. PROBLEM. To inscribe a square in a givcji circle. Draw two diometers AC, BD, cut-ling each other at right angles : jointheir extremities A, B, C, 1): the figureAB(JD will be a square. For the an-gles AOB, BOC, &c. being equal, the Achords AB, BC, 6lc. are also equal :and the…

Trigonometry · Geometry

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