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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 18

An illustration from Elements of geometry and trigonometry, 1835, leaf 18
PROPOSITION IX. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles unequal, the thi^d sides will be unequal ; and the greater side will belong to the triangle which has the greater included angle.v Let BAC and EDF be two… … BOOK I. lî) triangle GAC is equal to DEF, since, by construction, tlieyhave an equa angle in each, contained by equal sides, (Prop.V.) ; therelbre CG is equal to EF. Now, there may be threecases in the proposition, according as the point G talis withoutihe triangle AIjC, or upon its base BC, or…

Trigonometry · Geometry

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