 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.  Plane Geometry - Page 42by George Albert Wentworth - 1899 - 256 pagesFull view - About this book
 | Webster Wells - Geometry - 1886 - 392 pages
...angle of an equiangular triangle? 31 PROPOSITION XXIII. THEOREM. 86. 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... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...If equals be taken from equals, the remainders are equal.) THEOREM XXIV. 177. If two triangles have two sides of the one equal respectively to two sides of the other, and the angles opposite to one pair of equal sides equal, then the angles opposite to the other pair... | |
 | George Albert Wentworth - Geometry - 1888 - 264 pages
...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. ~'-.c\ A In the triangles ABC and ABE, let AB =... | |
 | Edward Albert Bowser - Geometry - 1890 - 418 pages
...vertex to the middle point of the third side. Proposition 29. Theorem. 119. If tii-o Iriunifle* have two sides of the one equal respectively to two sides of the, other, but the included angle in the first triangle greater than the included angle in the second, then the third side of the first... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...(117). But EH = 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... | |
 | George Irving Hopkins - Geometry, Plane - 1891 - 204 pages
...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 is longer than... | |
 | George Albert Wentworth - Geometry, Plane - 1892 - 266 pages
...points). .'.the two A coincide, and are equal. UED PROPOSITION XXVII. THEOREM. 152. If two triangles have two sides of the one equal respectively to two sides of the other, bufthe included angle of the first greater than the included angle of the second, then the third side... | |
 | George Bruce Halsted - Geometry - 1896 - 208 pages
...angle in one triangle equals the exterior angle in the other. 302. Corollary. If two triangles have two sides of the one equal respectively to two sides of the other, and the angles opposite to one pair of equal sides equal, then, if the angles opposite the other pair... | |
 | George Albert Wentworth - Geometry - 1892 - 468 pages
...points). .-.the two A coincide, and are equal. UED PROPOSITION XXVII. THEOREM. 152. // two triangles have two sides of the one equal respectively to two sides of the oiher, but the included angle of the first greater than thc included angle of the second, then the... | |
 | Webster Wells - Geometry - 1894 - 400 pages
...coincide throughout, and are equal, PROPOSITION XXVIII. THEOREM. 89. If two triangles have two sides of one equal respectively to two sides of the other, but the included angle of tJie first greater than the included angle of the second, the third side of the first is greater than... | |
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