 | 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, 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,... | |
 | 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... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...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
...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... | |
 | 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... | |
 | Robert Mudie - Mathematics - 1836 - 524 pages
...there are sufficient data for constructing the triangle ; and if two triangles have two sides and the included angle of 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... | |
 | Robert Mudie - Mathematics - 1836 - 542 pages
...constructing the triangle ; 416 CONSTRUCTION OF TRIANGLE?. and if two triangles have two sides and the included angle of 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... | |
 | Adrien Marie Legendre - Geometry - 1838 - 372 pages
...successive angles ACB, BCD, DCE, ECF, FCA. B PROPOSITION V. THEOREM. 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 eac/i, the two triangles will be equal. Let the side ED be equal to the side BA, the side DF to the... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...angles. THEOREM. 36. Two triangles are 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), Fig. 23 let the angle A be equal to the angle... | |
| |
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 in all their parts." Axiom 1. "Things which are equal to the same thing, are equal... 
