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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 194

An illustration from Elements of geometry and trigonometry, 1835, leaf 194
e CAB, namely, DAB=BAC, DBA=ABC, andADB = ACB; hence the sides and the angles of the triangleADB are equal to the sides and the angles of the triangle ACB. Scholium. The equality of these triangles is not, however,an absolute equality, or one of superposition ; for it would beimpossible to apply… … EOOK IX. 19â PROPOSITION X. THEOREM. Two triangles on the same sphere, or on equal spheres, are equalin all their ^arts, when two sides and the included angle of theone are equal to two sides and the included angle of the other,each to each. Suppose the side AB = EF, the sideAC = EG, and the angle…

Trigonometry · Geometry

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