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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 107

An illustration from Elements of geometry and trigonometry, 1835, leaf 107
the differenceof the sides. Upon the given line AB as a diame-ter, describe a semicircle : at the ex-tremity of the diameter draw the tan-gent AD, equal to the side of the squareC ; through the point D and the centreO draw the secant DF ; then will DEand DF be the adjacent sides of therectangle… … PROBLEM XVIII. To find the common measure^ if there is one, between the diagonaland the side of a square. Let ABCG be ?ny square what-ever, and AC its diagonal. We must first ap[)ly CB uponCA, as often as it may be containedthere. For this purpose, let thesemicircle DBE be described, fromthe centre…

Trigonometry · Geometry

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