 | George Peacock - 1830 - 732 Seiten
...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 Roberts Perkins - 1856 - 460 Seiten
...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 - 472 Seiten
...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 - 268 Seiten
...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 - 389 Seiten
...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 - 394 Seiten
...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 - 418 Seiten
...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 - 210 Seiten
...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 - 150 Seiten
...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 - 400 Seiten
...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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... if two triangles have two sides of one equal, respectively, to two sides of the other... 
