| George Peacock - 1830 - 685 sider
...involving them) and also tor the third jf we should take, therefore, as in Geometry, two triangles which **have two sides of one equal respectively to two sides of the other,** and the included angles equal, then the respective equality of the remaining angles in each triangle... | |
| GEORGE R. PERKINS - 1856
...Conversely. If two triangles have two sides of the one respectively equal to two sides of the other, and **the third side of the first greater than the third side of the second, the** included angle of the first will be greater than the included angle of the second. For, if the included... | |
| George Roberts Perkins - 1860 - 443 sider
...Conversely. If two triangles have two sides of the one respectively equal to two sides of the other, and **the third side of the first greater than the third side of the second, the** included angle of the first will be greater than the included angle of the second. For, if the included... | |
| Richard Wormell - 1876
...second. 2nd. 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... | |
| GEORGE BRUCE HALSTED - 1885
...triangle symmetrical to the first to be greater than the third side of the second triangle, and therefore **the third side of the first greater than the third side of the second.** 690. From 688 and 689, by 33, Rule of Inversion, if two spherical triangles have two sides of the one... | |
| George Bruce Halsted - 1886 - 366 sider
...triangle symmetrical to the first to be greater than the third side of the second triangle, and therefore **the third side of the first greater than the third side of the second.** 690. From 688 and 689, by 33, Rule of Inversion, if two spherical triangles have two sides of the one... | |
| Edward Albert Bowser - 1890 - 393 sider
...BC. .-. BC > EF. QED Proposition 3O. Theorem. 120. Conversely, if two triangles have two sides of the **one equal respectively to two sides of the other, but the third side of the first** triangle greater than the third side of the second, then the included angle of the first triangle is... | |
| George Irving Hopkins - 1891 - 179 sider
...hypothenuse is 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 Albert Wentworth, George Anthony Hill - 1894 - 138 sider
...1890. 1. Two angles whose sides are perpendicular each to each are either equal or supplementary. 2. **If two triangles have two sides of one equal respectively...first greater than the third side of the second, the** included angle of the first is greater than the included angle of the second. 3. If the diagonals of... | |
| Webster Wells - 1894 - 378 sider
...for GH its equal CH, we have EF. PROPOSITION XXIX. THEOREM. 90. (Converse of Prop. XXVIII.) If tivo **triangles have two sides of one equal respectively...first greater than the third side of the second, the** included angle of the first is greater than the included angle of the second. In the triangles ABC... | |
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