| 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... | |
| 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... | |
| 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 - 436 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... | |
| 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... | |
| 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 to two sides of the other,** and the included angles unequal, the third sides are unequal, and the greater third side belongs to... | |
| Edward Olney - Geometry - 1872 - 566 pages
...bringing together the two greatest sides. Fia. 210. PROPOSITION X. 295. Theorem. — If two triangles hare **two sides of the one respectively equal to two sides of the other,** and the included angles unequal, the third sides are unequal, and the greater third side Iclongs to... | |
| 1873 - 192 pages
...Prove that the area of a circle of which r is the radius is equal to if t 2 . VII. 1. Prove that if two **triangles have two sides of the one respectively equal to two sides of the other,** while the included angles are unequal, the third sides will be unequal, and the greater third side... | |
| Richard Wormell - 1876 - 268 pages
...consequently Л A = Л D, and the triar gles are equal in Ątil respects (Theorem V.). THEOREM XV. When two **triangles have two sides of the one respectively equal to two sides of the other,** 'and an angle opposite a side of the one equal to the angle opposite the equal side of the other, then... | |
| Robert Potts - Geometry, Plane - 1876 - 446 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... | |
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