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A treatise on special or elementary geometry (1877)

Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 149

An illustration from A treatise on special or elementary geometry, 1877, leaf 149
ch to eacJi, are equal. Dem.—In the two triangles ABC and DEF, right angled at B and E, let AC= DF, and BC = EF; then are the triangles equal. For, place BC in its equalQ PC ^^> so that tlie right angles shall be adjacent, the anglesA and D lying on oppositesides of EF. as in {h\ SinceE and B… … EQUALITY OF QUADKILATERALS. 129 triangles will coincide when CAB falls in the plane on the side D. Therefore,the triangles are equal, q. e. d. PROPOSITION xn. 298. TJieorem,—Two right angled triangles liaving the hypo-tenuse and one acute angle of the one equal to the hypotenuse andan acute angle…

Geometry · Trigonometry

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