 | Adrien Marie Legendre - 1819 - عدد الصفحات: 574
...on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. . 230. Demonstration. Let the side AB = EF (Jig. 23O), the side AC = EG, and the angle BAC = FEG, the... | |
 | Adrien Marie Legendre - 1825 - عدد الصفحات: 276
...-vertical angles. 36. Two triangles arc. equal, -when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Demonstration. In the two triangles ABC, DEF (fig. 23), let Fig. 23. the angle A be equal to the angle... | |
 | Adrien Marie Legendre, John Farrar - 1825 - عدد الصفحات: 280
...on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Fig. 230. Demonstration. Let the side AB = EF (fig. 230), the side AC = EG, and the angle BAC = PEG,... | |
 | James Hayward - 1829 - عدد الصفحات: 218
...triangles have a side and the two adjacent angles of the one, equal to a side and the two adjacent angles of the other, each to each, the two triangles will be equal in all their parts ; that is, the third angle of the one will be equal to the third angle of the other,... | |
 | Pierce Morton - 1830 - عدد الصفحات: 584
...said to be right, when oblique 127 When said to be regular (its axis) 127 (a) Triangular prisms, which have two sides and the included angle of the one equal to two sides and the included angle of the other, are equal to one another . . . 138 (i) If the upper part of a triangular prism be cut... | |
 | 1835 - عدد الصفحات: 684
...be right, when oblique 127 Л\ hen said to be regular (its axis) 127 («) Triangular prisms, which have two sides and the included angle of the one equal to two sides and the included angle of the other, are equal to one another . . . 138 (V) If the upper part of a triangular prism be cut... | |
 | Robert Mudie - 1836 - عدد الصفحات: 542
...given, there are sufficient data for constructing the triangle ; 416 CONSTRUCTION OF TRIANGLE?. and if two triangles have two sides and the included angle...the one equal to two sides and the included angle of the other — it being understood that it is not the sum of the sides which is equal, but that each... | |
 | Robert Mudie - 1836 - عدد الصفحات: 524
...angle included between them, are given, there are sufficient data for constructing the triangle ; and if two triangles have two sides and the included angle...the one equal to two sides and the included angle of the other — it being understood that it is not the sum of the sides which is equal, hut that each... | |
 | Adrien Marie Legendre - 1836 - عدد الصفحات: 394
...on equal spheres, are equal in all their parts, when two sides and the included angle of the one are equal to two sides and the included angle of the other, each to each. Suppose the side AB=EF, the side J\- . JJ AC =EG, and the angle BAC=FEG ; then will the two triangles... | |
 | Eugenius Nulty - 1836 - عدد الصفحات: 242
...conditions which determine such equality are comprised in the four following theorems. THEOREM VI. 38. If two triangles have two sides, and the included angle of the one respectively equal to two sides and the included angle of the other, the remaining sides and angles... | |
| |
If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal. 
