| 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 the triangle... | |
| Edward Olney - Geometry - 1872 - 562 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 the triangle... | |
| Eli Todd Tappan - Geometry - 1873 - 288 pages
...a radius, describe a circumference in the plane MN, cutting CD at D. 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... | |
| 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... | |
| Benjamin Greenleaf - Geometry - 1873 - 202 pages
...XII. 57. If two triangles have two sides of the one equal to two sides of the other, each to each, but the third side of the one greater than the third side of the other, the angle contained by the sides of that which has the greater third side will be greater than... | |
| Benjamin Greenleaf - Geometry - 1874 - 206 pages
...XII. 57. If two triangles have two sides of the one equal to two sides of the other, each to each, but the third side of the one greater than the third side of the other, the angle contained by the sides of that which lias the greater third side will be greater than... | |
| Robert Potts - Geometry - 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 between... | |
| Richard Wormell - 1876 - 268 pages
...a similar set. It may, for instance, be used to prove the converse of (6), namely : — " When two triangles have two sides of the one respectively equal to two sides of the other, but the base of one greater than the base of the other, the vertical angle which is opposite the greater... | |
| Edward Olney - Geometry - 1877 - 272 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 the triangle... | |
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