| Adrien Marie Legendre - Geometry - 1819 - 574 pages
...triangle symmetrical with it ABD, in the same manner as two plane triangles are applied, when they **have two sides and the included angle of the one respectively equal to two sides and the included angle** of the other (36). Therefore all the parts of the triangle EFG will be equal to those of the triangle... | |
| Adrien Marie Legendre - Geometry - 1825 - 276 pages
...triangle symmetrical with it ABD, in the same manner as two plane triangles are applied, when they **have two sides and the included angle of the one respectively equal to two sides and the included angle** of the other (36). Therefore all the parts of the triangle EFG will be equal to those of the triangle... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...triangle symmetrical with it ABD, in the same manner as two plane triangles are applied, when they **have two sides and the included angle of the one respectively equal to two sides and the included angle** of the other (36). Therefore all the parts of the triangle EFG will be equal to those of the triangle... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...AC : DF, and, by construction, AG = DE ; therefore AH = DF. The two triangles AGH, DEF, have the two **sides and the included angle of the one respectively equal to two sides and the included angle** of the other ; they are consequently equal. But the triangle AGH is similar to ABC; therefore DEF is... | |
| 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...two sides and the included angle of the other, the** remaining sides and angles are respectively equal. This theorem appears to be self-evident (IjP)..... | |
| 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 of the one** equal to two sides and the included angle of the other — it being understood that it is not the sum... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...the four right angles, as by 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 two sides and the included angle of the other, each to each, the two triangles will be equal.... | |
| 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 of the one** equal to two sides and the included angle of the other — it being understood that it is not the sum... | |
| Benjamin Peirce - Geometry - 1837 - 216 pages
...triangle ABC, symmetrical to ABC. 452. Theorem. If two triangles on the same sphere, or on equal spheres, **have two sides, and the included angle of the one respectively equal to** the two sides and the included angle of the other, they are equal, or else they are symmetrical. Isosceles... | |
| Adrien Marie Legendre - Geometry - 1841 - 288 pages
...triangle symmetrical with it ABD, in the same manner as two plane triangles are applied, when they **have two sides and the included angle of the one respectively equal to two sides and the included angle** of the other (36). Therefore all the parts of the triangle EFG will be equal to those of the triangle... | |
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