 If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the triangle which has the greater included angle has the greater third side.  Elements of Plane Geometry - Page 44by Franklin Ibach - 1882 - 196 pagesFull view - About this book
 | Euclides - 1855 - 270 pages
...the angle BAС is greater than the angle EDF. Wherefore, if two triangles, &o. QED Corollary. If two triangles have two sides of the one respectively equal to two sides of the other, the base of the one is greater than, equal to, or leas than the base of the ether, according as the... | |
 | 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 first... | |
 | 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... | |
 | Euclides - 1858 - 248 pages
...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 - 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 first... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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... | |
 | 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, 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... | |
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