 | 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
...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
...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... | |
 | Adrien Marie Legendre - 1836 - 394 σελίδες
...the successive angles ACB, BCD, DCE, ECF, FCA. PROPOSITION V. THEOREM. ' If two triangles have two sides and the included angle of the one, equal to...and the included angle of the other, each to each, the two triangles will be equal. Let the side ED be equal to the side BA, the side DF to the side AC,... | |
 | Robert Mudie - 1836 - 542 σελίδες
...sufficient data for 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... | |
 | Robert Mudie - 1836 - 524 σελίδες
...are given, 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... | |
 | Adrien Marie Legendre - 1838 - 372 σελίδες
...the 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...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... | |
 | Charles Davies - 1840 - 264 σελίδες
...of the Triangle. SECTION VI. PROPERTIES OF THE TRIANGLE. 1. If two triangles have two sides, and an included angle of the one, equal to two sides and the included angle of the other, each to each, the remaining parts will also be equal. That is, if we have the two triangles, .ABC and DEF, having... | |
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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 in all their parts." Axiom 1. "Things which are equal to the same thing, are equal... 
