 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 side of the second...  Plane Geometry - Page 56by Jacob William Albert Young, Lambert Lincoln Jackson - 1916 - 312 pagesFull view - About this book
 | Webster Wells - Geometry - 1899 - 424 pages
...— BOOK I. 1'uui-. XXVIII. THEOREM. 91. 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 a,u/le of the second, the third side of the first, is greater than the third side of the second. Given,... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 265 pages
...5. But or ! = MB* MB* > AB2. > Given Step 2 Prop. I Prop. VIII PROPOSITION XI. 78. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, but the third sides unequal, then the included angles are unequal, the greater angle being opposite the greater... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...proof is the same when B2 falls above A'JB1. » ^ ^ — ' C? PROPOSITION XI. . A 78. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, but the third sides unequal, then the included angles are unequal, the greater angle being opposite the greater... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...angles are complemental. For the sum of all three must equal two right angles; therefore, etc. 5. If two triangles have two sides of the one respectively equal to two sides of the other, and the angles opposite one pair of equal sides right angles, or equal obtuse angles, the triangles... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...produced. PROPOSITION XXVIII. THEOREM. 154. If two triangles hace two sides of the one equal, respectively, to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...GEOMETRY. PROPOSITION XXVIII. THEOREM. 154. If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater... | |
 | Education - 1900 - 898 pages
...the side PQ is greater than PI!, prove that the angle PKQ is greater than the angle PQR. 7. 2. If two triangles have two sides of the one respectively equal to two sides of the other, but the contained angles unequal, the l>ase of the triangle which has the greater contained angle shall be... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 120 pages
...opposite the greater side. 4. Theorem. If two triangles have two sides of one equal, respectively, to two sides of the other, but the included angle...first greater than the included angle of the second, the third side of the first is greater than the third side of the second; and conversely, if two triangles... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 116 pages
...opposite the greater side. 4. Theorem. If two triangles have two sides of one equal, respectively, to two sides of the other, but the included angle...first greater than the included angle of the second, the third side of the first is greater than the third side of the second; and conversely, if two triangles... | |
 | Henry Parker Manning - Geometry, Non-Euclidean - 1901 - 122 pages
...opposite the greater side. 4. Theorem. If two triangles have two sides of one equal, respectively, to two sides of the other, but the included angle...first greater than the included angle of the second, the third side of the first is greater than the third side of the second; and conversely, if two triangles... | |
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