| Euclides - 1856
...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... | |
| Euclides - 1858
...have the same relation to each other as Props. 4 and 8, and the four may be combined 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... | |
| George Roberts Perkins - Geometry - 1860 - 443 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 first... | |
| 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)... | |
| Robert Potts - Geometry, Plane - 1860 - 361 pages
...triangle is supplemental to the other. Hence the following property : — If two triangles have two si-les **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 - 1861
...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, these Дs... | |
| 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 between... | |
| 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 between... | |
| Eli Todd Tappan - Geometry, Modern - 1864 - 292 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... | |
| 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 between... | |
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