 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...BC will coincide with E F. Therefore the two triangles coincide, and are equal in all respects. 41 i If two triangles have two angles and the included side of the one respectively equal to two angles and the included side of the other, the two triangles are equal in... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...consequently equal in all their parts (I., D. 14) ; which was to be proved. PROPOSITION VI. THEOREM. If two triangles have two angles and the included side of the one equal to two angles and the included side of the other, each to each, the triangles will be equal in all... | |
 | B. Marks - 1875 - 176 pages
...fall ? Why does the line de fall exactly upon the line ab? DEMONSTRATION. We wish to prove that, // two triangles have two angles, and the included side of the one equal to two angles and the included side of the other, each to each, the two triangles are equal to each... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...DEF, and the angle ACB to the angle DFE. Therefore, if two triangles, etc. PROPOSITION VII. THEOREM. If two triangles have two angles, and the included side of the one equal to two angles and the included side of the other, each to each, the two triangles will be equal, the... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...included angle of the other, each to each, the triangles will be equal in all their parts. THEOREM V. If two triangles have two angles and the included side of the one equal to two angles and the included side of the other, each to each, the triangles will be equal in all... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...DEF, we have AB = DE, AC = DF, and BC > EF ; then, A > D. If A = D what? If A < D what? THEOREM XVIII. If two triangles have two angles, and the included side of the one equal to two angles and the included side of the other, each to each, they are equal throughout. Let ABC,... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...must be greater than the angle opposite the second. THEOREM XII. 711. Two spherical triangles having two angles and the included side of the one equal...to two angles and the included side of the other, are either congruent or symmetrical. For the first triangle can be moved in the sphere into coincidence... | |
 | Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...consequently equal in all respects (I., D. 15); which was to be proved. il -= PROPOSITION VI. THEOREM. // two triangles have two angles and the included side of the one equal to two angles and th.e included side of the other, each to each, the triangles are equal in all respects.... | |
 | George Bruce Halsted - Geometry - 1886 - 394 pages
...must be greater than the angle opposite the second THEOREM XII. 711. Two spherical triangles having two angles and the included side of the one equal...to two angles and the included side of the other, are either congruent or symmetrical. For the first triangle can be moved in the sphere into coincidence... | |
 | New York (State). Department of Public Instruction - 1887 - 268 pages
...founded ? Define postulate. 2. State the conditions under which two triangles are equal. Prove that if two triangles have two angles and the included side of the one equal to two angles and the included side of the other, each to each, the triangles will be equal in all... | |
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If two triangles have two angles and the included side of one equal respectively to two angles and the included side of the other, the triangles are congruent. 
