 | Adrien Marie Legendre - 1819 - 574 σελίδες
...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 - 1825 - 280 σελίδες
...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 - 1825 - 276 σελίδες
...-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 - 1830 - 584 σελίδες
...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 - 684 σελίδες
...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 - 524 σελίδες
...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... | |
 | Robert Mudie - 1836 - 542 σελίδες
...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... | |
 | Adrien Marie Legendre - 1836 - 394 σελίδες
...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 - 242 σελίδες
...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... | |
 | Adrien Marie Legendre - 1838 - 372 σελίδες
...the four right angles, as by the successive angles ACB, BCD, DCE, ECF, FCA. B PROPOSITION V. THEOREM. If two triangles have two sides and the included angle...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... | |
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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. 
