 ... if two triangles have two sides of one equal, respectively, to two sides of the other...  Solid Geometry - Page 298by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1922 - 192 pagesFull view - About this book
 | George Peacock - Algebra - 1830 - 732 pages
...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 to each... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...applicable to either case. COT. Conversely. If two triangles have two sides of the one respectively equal to two sides of the other, and the third side of the...side of the second, the included angle of the first will be greater than the included angle of the second. For, if the included angle of the first is not... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...applicable to either case. Cor. Conversely. If two triangles have two sides of the one respectively equal to two sides of the other, and the third side of the...side of the second, the included angle of the first will be greater than the included angle of the second. For, if the included angle of the first is not... | |
 | Richard Wormell - 1876 - 268 pages
...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 is... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...BC>EF. 74. Proposition XXX.— Theorem. If two triangles have two sides of the one respectively equal to two sides of the other and the third side of the one greater than the third side of the otlier, tlie angle opposite the greater third side is greater... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...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 - Geometry - 1886 - 394 pages
...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... | |
 | 1887 - 644 pages
...than the side opposite the latter. 2. If two triangles have two sides of the one respectively equal to two sides of the other, and the third side of the one greater than the. third side of the other, the angle opposite the former shall be greater than... | |
 | George Irving Hopkins - 1891 - 210 pages
...two of them; or, a method similar to that in 122 may be employed. 123 (a). If two triangles have the two sides of one equal respectively to two sides of the other, but the included angles unequal, then the third side of that triangle having the greater included angle... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...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 to two sides of the other, but the third side of the first greater than the third side of the second, the included angle of the... | |
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