 | 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 - 472 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 - 288 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... | |
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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. 
