 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...proof is the same when B2 falls above A'JB1. » ^ ^ — ' C? PROPOSITION XI. . A 78. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, but the third sides unequal, then the included angles are unequal, the greater angle being opposite... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...the section and the equal sides are equal angles are equal. equal. PROPOSITION X. 77. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, but the included angles unequal, then the third sides are unequal, the greater side being opposite... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...Theorem. 61. 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 angle opposite the third side of the first is greater than the angle opposite the third side of the... | |
 | Harvard University - Geometry - 1899 - 39 pages
...which has the greater included angle has the greater third side. If two triangles have two sides of one respectively equal to two sides of the other, and the third sides unequal, the triangle which has the greater third side has the greater included angle. THEOREM... | |
 | Education - 1900 - 898 pages
...the side PQ is greater than PI!, prove that the angle PKQ is greater than the angle PQR. 7. 2. If two triangles have two sides of the one respectively equal to two sides of the other, but the contained angles unequal, the l>ase of the triangle which has the greater contained angle shall... | |
 | Edward Brooks - Geometry, Modern - 1901 - 278 pages
...for its equal BD, We have AD + DO BC, or AC> BC. Therefore, etc. PROPOSITION XXV. — THEOREM. // two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third side will be greater in the triangle having the greater included... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 122 pages
...conversely, 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 angle opposite the third side of the first is. greater than the angle opposite the third side of the... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 116 pages
...triangles have two sides of NON-EUCLIDEAN GEOMETRY 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 angle opposite the third side of the first is. greater than the angle opposite the third side of the... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 113 pages
...conversely, if two triangles have two sides of one equal, respectively, to tivo sides of the other, but the third. side of the first greater than the third side of the second, the angle opposite the third side of the first is. greater than the angle opposite the third side of the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...THEOREM 129. If two triangles have two sides of the one equal respectively to two sides of the other, but the third side of the first greater than the third side of the second, then the included angle of the first is greater than the included angle of the second. [Converse of... | |
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... to two sides of the other, but the third side of the first greater than the third side of the second, the angle opposite the third side of the first is. 
