 | John Playfair - 1837 - 332 páginas
...point A in the given straight line AB, the angle FAG is made equal to the given rectilineal angle DCE. PROP. XXIV. THEOR. If two triangles have two sides...angle shall be greater than the base of the other. 25 DF; but the angle BAG greater than the angle EDF ; the base BC is also greater than the base EF.... | |
 | Euclides - 1837 - 112 páginas
...contained by two sides of one of them greater than the angle contained by the two sides equal to them, of the other; the base of that which has the greater...angle shall be greater than the base of the » other. Steps of the Demonstration. 1. Prove that (in As ABC, DEC) base BC = base EG, 2. that Z DFG = Z DGF,... | |
 | Euclid, James Thomson - 1837 - 410 páginas
...(3.) their other angles are equal, each to each, viz., those to which the equal sides are opposite. || Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides, DE, DF, each to each, viz., AB to DE, and AC to DF ; and the angle BAC equal to the angle EDF:... | |
 | Andrew Bell - 1837 - 290 páginas
...THEOREM. the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle shall he greater than the hase of the other. Let ABC, DEF, be two triangles which have the two sides AB,... | |
 | Euclides - 1838 - 264 páginas
...shall the other sides be equal, each to each, and also the third angle of the one to tlie third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, each to each, viz. ABC to DEF, and BCA to EFD ; also... | |
 | Euclides - 1841 - 378 páginas
...shall the other sides be equal, each to each; and the third angle of the one equal to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, each to each, viz. ABC to DEF, and BCA to EFD; also one... | |
 | Chambers W. and R., ltd - 1842 - 744 páginas
...be respectively equal to those of another, the triangles are equal in every respect. Let ABC, DEI1', be two triangles, which have the two sides AB, AC, equal to the two sides I > K, DF, neb to each, namely, All to DE, and A AC to DF, and the angle l\ t I \ BACequal to... | |
 | John Playfair - 1842 - 332 páginas
...shall the other side be equal, each to each ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz. ABC to DEF, and BCA to EFD, also one side equal... | |
 | Euclides - 1842 - 316 páginas
...shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, each to each, viz. ABC to DEF; and BCA to EFD; also one... | |
 | Euclid - 1845 - 218 páginas
...that which has the greater base, shall be greater than the angle contained by the sides equal to them of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB equal to DE, and AC to DF; but the base CB greater than the base... | |
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IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has... 
