 | Euclides - 1862 - Liczba stron: 140
...4. Therefore AK is equal to C. (ax. 1.) Conclusion. — Therefore, from AB, the greater of two given straight lines, a part AE has been cut off, equal to C, the less. <?. E. F* PROPOSITION 4.— THEOREM. If two triangles have two sides of the one equal to two sides... | |
 | University of Oxford - 1863 - Liczba stron: 316
...equal to the square on the straight line which is made up of the half and the part produced. 4. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two... | |
 | Isaac Todhunter - 1863 - Liczba stron: 182
...are equal so as to admit of superposition they are said to be absolutely equal. 58. If two spherical triangles have two sides of the one equal to two sides of the other, each to each, but the angle which is contained by the two sides of the one greater than the angle which is contained... | |
 | Benjamin Greenleaf - 1863 - Liczba stron: 504
...been shown to be equal to BC ; hence BC is greater than E F. PROPOSITION XVII. — THEOREM. 79. If two triangles have two sides of the one equal to two sides of the other, each to each, but the third side of the one greater than the third side of the other, the angle contained by the... | |
 | Euclides - 1863 - Liczba stron: 122
...AD. Wherefore the straight line AE is equal (Ax. 1) to C. Therefore from AB the greater of two given straight lines, a part AE has been cut off equal to C the less. QEF PEOP. IV. (THEOHEM.)-.J/ tu:o triangles (ABC, DEF) have two sides of tbe one (AB, AC) equal to... | |
 | Evan Wilhelm Evans - 1862 - Liczba stron: 116
...two angles of a triangle are equal, the sides opposite to them can not be unequal. THEOREM X. If two triangles have two sides of the one equal to two sides of the other, but the included angles unequal, the base of that which has the greater angle is greater than... | |
 | Euclides - 1864 - Liczba stron: 448
...straight line AB, the angle FAG is made equal to the given rectilineal angle DCE. QEF PROPOSITION XXIV. THEOREM. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two... | |
 | Eli Todd Tappan - 1864 - Liczba stron: 288
...BCD or on the line CD, the demonstration would not be changed. 394. Theorem — Conversely, if two triangles have two sides of the one equal to two sides of the other, and the third sides unequal, then the angles opposite the third sides are unequal, and that... | |
 | John Gibson - 1881 - Liczba stron: 64
...point in a given straight line make a rectilineal angle equal to a given rectilineal angle. 4. If two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two... | |
 | Euclides - 1881 - Liczba stron: 236
...AD. Wherefore the straight line AE is equal (Ax. 1) to C. Therefore from AB the greater of two given straight lines, a part AE has been cut off equal to C the less. QEF Kzerdve. To produce the smaller of two given straight lines, BO that with the part produced, it... | |
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If two triangles have two sides of the one equal to two sides of the other, each to each, but the... 
