 | Webster Wells - Geometry - 1898 - 264 pages
...THEOREM. 91. 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. :H *'<? Given, in A ABC and DEF, AB = DE, AC=DF, and... | |
 | 1898 - 830 pages
...triangle and the external bisector of the other base angle is equal to half the vertical angle. 6. If two triangles have two sides of the one respectively equal to two sides of the other, but their bases unequal, their vertical angles are unequal. Give a direct proof of this. 7. Prove geometrically... | |
 | Mathematics - 1898 - 228 pages
...PLANE. 1. 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 of the first is greater than the third side of the second. State and prove the... | |
 | Webster Wells - Geometry - 1899 - 450 pages
...THEOREM. 91. 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. ia E1^-\» Given, in A ABC and DEF, AB - DE, AC= DF,... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...Theorem. 60. 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. D Hypothesis. In the A ABC and DEF, AB = DE, AC = DF,... | |
 | 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... | |
 | Harvard University - Geometry - 1899 - 39 pages
...angle is greater than the side opposite the less angle. THEOREM V. If two triangles have two sides of one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side. If two... | |
 | 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... | |
 | Frederick Storrs Turner - Knowledge, Theory of - 1900 - 500 pages
...consider the use of the law of Contradiction by Euclid. He takes two triangles which have two sides of one respectively equal to two sides of the other, and the included angles equal: on these data he argues that the third sides are equal. For supposing that one of the... | |
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If two triangles have two sides of the 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 of the first is greater than the third side of the second.... 
