| Robert Potts - 1865 - 528 páginas
...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... | |
| Euclides - 1865 - 402 páginas
...I. 41. * ' The 4th, 8th, 24th, and,<25th propositions may be announced together thus : — ' if two triangles have two sides of the one respectively equal to two sides of the other, the remaining side of the one will be greater or less than, or equal to, the remaining side of the... | |
| Eli Todd Tappan - 1868 - 432 páginas
...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 páginas
...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 - 1868 - 286 páginas
...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 - 1868 - 444 páginas
...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 - 1870 - 304 páginas
...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 páginas
...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 - 1872 - 562 páginas
...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 - 1873 - 288 páginas
...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... | |
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