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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 106

An illustration from Elements of geometry and trigonometry, 1835, leaf 106
roportional to the threegiven lines, M, N, AB ; uponthe side X, homologous to AB,describe a figure similar to the figure P ; it will also be equiva-lent to the figure Q. For, calling Y the figure described upon the side X, we haveP : Y : : AB2 : X2; but by construction, AB : X : : M : N,or AB^ : X-… … PROBLEM XVL To construct a rectangle equivalent to a given square, and havingthe sum of its adjacent sides equal to a given line. Let C be the square, and AB equal to the sum of the sidesof the required rectangle. Upon AB as a diame-ter, describe a semicir-cle ; draw the line DEparallel to the…

Trigonometry · Geometry

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