 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.  Plane Geometry - Page 80by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1920 - 305 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 other,... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...right angle of the other. THEOREM XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angle...included angle of the second, the third side of the first will be greater than the third side of the second. FIRST BOOK. In the two triangles ABC and DEF, suppose... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...angle of the other. • THEOREM XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and, the included, angle...first greater than the included angle of the second, th'> third side of the first will be greater than the third side of the second. In the two triangles... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...points of AB and CD. BF and DE trisect the diagonal A C. 50. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equivalent. 51. The diagonals divide a parallelogram into four... | |
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...points of AB and CD. BFand DE trisect the diagonal A C. 50. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equivalent. 51. The diagonals divide a parallelogram into four... | |
 | 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
...shown. 73. Proposition XXIX.— Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angle of the one greater than the included angle of the other, the third side of the one having the greater included... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...two spherical triangles have two sides of the one equal respectively to two sides of the other, hut the included angle of the first greater than the included angle of the second, then the third side of the first will be greater than the third side of the second. 3. To draw an •... | |
 | George Albert Wentworth - 1879 - 196 pages
...two spherical 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 will be greater than the third side of the second. In the spherical... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...points of AB and CD. BF and ED trisect the diagonal A G. 104. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equivalent. 105. The diagonals divide a parallelogram into... | |
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