| 1898 - 844 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 - 224 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 - 382 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... | |
| Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 116 pages
...Theorem. 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; and conversely, if two triangles have two sides of NON-EUCLIDEAN... | |
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