| Adrien Marie Legendre - Geometry - 1819 - 574 pages
...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 - Geometry - 1825 - 276 pages
...-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 - Geometry - 1825 - 280 pages
...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 - Geometry - 1829 - 218 pages
...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 - Geometry - 1830 - 584 pages
...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... | |
| Mathematics - 1835 - 684 pages
...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 - Mathematics - 1836 - 542 pages
...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 - Mathematics - 1836 - 524 pages
...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 - Geometry - 1836 - 394 pages
...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 - Geometry - 1836 - 242 pages
...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... | |
| |