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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 152

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I. S03. Theorem.—Two polygons of the same number of sides,having all the parts of the one except three angles, known to he respec-tively equal to the corresponding parts of the other^ are equal. Dem.—If the two polygons AE* and AE, have all the parts of the one equalto the corresponding parts of… … Fig. 215. 1st. When the three un-known angles are consecu-tive, as G, F, E, and C, F,E. Draw CE, and GE.Apply polygon AE to AE,beginning with g in itsequal ^r; A = A, and a =a; hence, B falls at B: B= B, and b = b, hence, Cfalls at C; etc. Thus, wemay show that the perime-ters coincide till we…

Geometry · Trigonometry

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