 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 are equal in all respects.  An Elementary Geometry - Σελίδα 11των William Frothingham Bradbury - 1872 - 110 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Adrien Marie Legendre - 1819 - 574 σελίδες
...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 - 1825 - 280 σελίδες
...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 - 1825 - 276 σελίδες
...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 - 1825 - 294 σελίδες
...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 - 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...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 - 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 of the one equal to two sides and the included angle of the other — it being understood that it is not the sum... | |
 | 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 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 - 1836 - 394 σελίδες
...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.... | |
 | Benjamin Peirce - 1837 - 216 σελίδες
...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 - 1841 - 288 σελίδες
...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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