| Euclides - 1856 - 168 pages
...than EF, the side opposite EFG; but EG is equal to BC, therefore BC is greater thanEF. XXIV. If two **triangles have two sides of the one respectively equal to two sides of the other,** but the base of the one greater than the base of the other, the angle also contained by the sides of... | |
| George Roberts Perkins - Geometry - 1856 - 460 pages
...here represented, still our demonstration is alike applicable to either case. COT. Conversely. If two **triangles have two sides of the one respectively equal to two sides of the other,** and the third side of the first greater than the third side of the second, the included angle of the... | |
| George Roberts Perkins - Geometry - 1860 - 470 pages
...here represented, still our demonstration is alike applicable to either case. Cor. Conversely. If two **triangles have two sides of the one respectively equal to two sides of the other,** and the third side of the first greater than the third side of the second, the included angle of the... | |
| Eucleides - 1860 - 396 pages
...(t/~), therefore EG is greater than EF. PROPOSITION XXV. THEOREM. — If two triangles (ABC and DEF) hme **two sides of the one respectively equal to two sides of the other** (BA and AC to ED and DF), and if the third side (BC) of the one be greater than the third side (EF)... | |
| Euclides - 1861 - 464 pages
...vertical angle, ACB. РДRЬППЯАRY THEOREM, that may be demonstrated by superposition, " If two Дз **have two sides of the one respectively equal to two sides of the other,** and the ¿. opp. one of the sides in the firstequal to the /.opp. to the equal side in the second,... | |
| Euclides - 1864 - 448 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... | |
| Euclides - 1864 - 262 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... | |
| Eli Todd Tappan - Geometry, Modern - 1864 - 292 pages
...parts alone are never enough to determine a triangle. UNEQUAL TRIANGLES. 293. Theorem — When two **triangles have two sides of the one respectively equal to two sides of the other,** and the included angles unequal, the third side in that triangle which has the greater angle, is greater... | |
| Euclides - 1865 - 402 pages
...triangle . ....... I. 41. * ' The 4th, 8th, 24th, and,<25th propositions may be announced together **thus : — ' if two triangles have two sides of the...angle opposed to it in the one is greater or less** tliau or equal to the angle opposed to it in the other, or vice versd.' — Lardner, 4. The complements... | |
| Robert Potts - 1865 - 528 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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