 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...triangles situated on the same sphere, or 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,... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...triangles situated on the same sphere, or 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 (Jig. 230), the side AC=EG,... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...same space as the successive angles, ACB, BCD, &c. 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), let Fig. 23the... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...THEOREM. Two triangles on the same sphere, or 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... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...triangles situated on the same sphere, or 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. Demonstration. Let the side AB—EF (fig. 230), the side AC = EG, and the... | |
 | Charles Waterhouse - Arithmetic - 1842 - 178 pages
...ASSUMED. The following Propositions are Demonstrably true: — 1. 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. 2. In an isosceles triangle, the angles opposite to the equal sides are... | |
 | Charles WATERHOUSE - Arithmetic - 1844 - 228 pages
...triangle, that is the greater, which is opposite the longer aids. 6. Two triangles ore 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. 7. Every triangle is half of a parallelogram of the same base and altitude.... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...THEOREM. triangles on the same sphere, or 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. For, the triangle EFG may be placed on the triangle ABCi or on ABD symmetrical... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...THEOEEM. Two triangles on the same sphere, or 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. Let ABC, EFG, be two triangles having the side AB=UF, the side AC— EG,... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...THEOREM. Two triangles on the same sphere, or 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. Let ABC, EFG, be two triangles having the side AB=EF, the side AC=EG, and... | |
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Two triangles are equal if two sides and the included angle of the one are equal, respectively, to two sides and the included angle of the other... 
