 If two triangles have two sides of one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second...  A Treatise on Algebra - Page 435by George Peacock - 1830 - 685 pagesFull view - About this book
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...points of AB and CD. BFand DE trisect the diagonal A C. 50. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equivalent. 51. The diagonals divide a parallelogram into four equivalent... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...points of AB and CD. BF and DE trisect the diagonal A C. 50. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equivalent. 51. The diagonals divide a parallelogram into four equivalent... | |
 | Richard Wormell - 1876 - 268 pages
...Example. — A similar series of propositions occurs again in Theorems V. and XIII. " When two triangles have two sides of one equal respectively to two sides of the other," and — (a) " The included angle of the one equal to the included angle of the other, the base of one is... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...points of AB and CD. BF and ED trisect the diagonal A G. 104. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equivalent. 105. The diagonals divide a parallelogram into four equivalent... | |
 | George Irving Hopkins - Geometry, Plane - 1891 - 204 pages
...equivalent to the sum of the polygons upon the other two sides. ADVANCE THEOREMS. 435. If two triangles have two sides of one equal respectively to two sides of the other, and their included angles supplementary, the triangles are equivalent. 437. If through the middle point... | |
 | George Irving Hopkins - 1891 - 210 pages
...two of them; or, a method similar to that in 122 may be employed. 123 (a). If two triangles have the two sides of one equal respectively to two sides of the other, but the included angles unequal, then the third side of that triangle having the greater included angle... | |
 | Webster Wells - Geometry - 1894 - 256 pages
...ft. 3 in., what is the homologous altitude of the second ? 21. Two triangles are equivalent when they have two sides of one equal respectively to two sides of the other, and the included angles supplementary. 22. One diagonal of a rhomhus is five-thirds of the other, and the difference of the... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...angles whose sides are perpendicular each to each are either equal or supplementary. 2. If two triangles have two sides of one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, the included angle of the... | |
 | Webster Wells - Geometry - 1894 - 398 pages
...line.] (§ 50.) Whence, the point A falls at D. PROPOSITION XXVIII. THEOKEM. 89. If two triangles ha ve two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, the third side of... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...sides equal, each to each, are they necessarily equal ? PROPOSITION XXV. THEOREM 92. If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side... | |
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