 | Eli Todd Tappan - Geometry - 1868 - 432 pages
...angle A given, there are two triangles, ABC andABD. " ~5~ ~v UNEQUAL TRIANGLES. Theorem. — When two triangles have two sides of the one respectively equal to two sides of the other, and the induded angles unequal, the third side in that triangle which has the greater angle, is greater than... | |
 | Robert Potts - 1868 - 434 pages
...then the angle of one triangle is supplemental to the other. Hence the following property : — If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal. A distinction ought to be made between... | |
 | Richard Wormell - Geometry, Modern - 1868 - 286 pages
...respectively equal to the three angles of another, while the triangles are unequal (fig. 79). When two triangles have two sides of the one respectively equal to two sides of the other, but the included angle of the one greater than the included angle of the other, the base of that which... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...radius, describe a circumference in the plane MN, cutting CD at D. N Then the triangles ACD and ACB have two sides of the one respectively equal to two sides of the other. But the third side AD is longer than the third side AB (530). Therefore, the angle ACD is greater than... | |
 | Horatio Nelson Robinson - 1869 - 276 pages
...THEOREM XXII. If two triangles have two sides of the one equal to two fides of the other, each to each, and the included angles unequal, the third sides will be unequal, and the greater third side will belong to the triangle which has the greater included angle. In the two A's, ABC and... | |
 | Charles Henry Winston, Richard M. Smith, D. Lee Powell, John Meredith Strother, H. H. Harris, John Patrick McGuire, Rodes Massie, William Fayette Fox, Harry Fishburne Estill (F.), Richard Ratcliffe Farr, John Lee Buchanan, George R. Pace - Education - 1882 - 580 pages
...abstraction. Now make the same statement in geometrical language. If two triangles have hvo sides of the one equal to two sides of the other and the included angles unequal, the third sides will be unequal also, and the greater third side will be in that triangle which has the greater included angle. Many... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...angles in each, or opposite one of them, the triangles are equal in all respects. (§ &&b). 14. When two triangles have two sides of the one respectively equal to two sides of the other, but the angle contained by the two sides of the one greater than the angle contained by the two sides... | |
 | Adrien Marie Legendre - Geometry - 1871 - 490 pages
...triangles have two sides of the one equal to two sides of the other, each to each, and the ind1lded angles unequal, the third sides will be unequal ;...belong to the. triangle which has the greater included anale. In the triangles BA C and DEF, let AB be equal to DE, AC to DF, and the angle A greater than... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...THEOREM. If two triangles have two sides of tJ1e one equal to two sides of the other, each to each, and the included angles unequal, the third sides will...the triangle which has the greater included angle. In the triangles BAC and DEF, let AB be equal to . DE, AC to DF, and the angle A greater than the angle... | |
 | Edward Olney - 1872 - 270 pages
...secured by bringing together the two greatest sides. PROPOSITION X. Fio. 210. 295. Theorem.—If two triangles have two sides of the one respectively equal...other, and the included angles unequal, the third sides are unequal, and the greater third side belongs to the triangle having the greater included angle.... | |
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If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side. 
