 | 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... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 122 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 one... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 113 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 one... | |
 | 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 angle. Given.—... | |
 | Arthur Schultze - 1901 - 260 pages
...THEOREM 128. 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. Hyp. In & ABC and A'B'C'... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...THEOREM 128. 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. Hyp. In A ABC and A'B'C'... | |
 | Edinburgh Mathematical Society - Electronic journals - 1901 - 232 pages
...and EC. Then we can show that AD" and AD' are each less than BE. First, the triangles AD'B and BEA have two sides of the one respectively equal to two sides of the other, but the included angles A and B unequal (since BC> AC). As the angle A > the angle B, we find BE>AD'.... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...THEOREM 128. 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. B ——- Hyp. In A... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 394 pages
...THEOREM 128. 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. Hyp. In A ABC and A'B'C'... | |
 | 1902 - 482 pages
...right angles, then these two straight lines are in one and the same straight line. SECTION B. 5. If two triangles have two sides of the one respectively equal to two sides of the other and the contained angles supplemental, the triangles are equal in area. 6. Describe a square equal to the difference... | |
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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.... 
