 The sides about the equal angles of equiangular triangles are proportionals ; and those which are opposite to the equal angles are homologous sides, that is, are the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles, having...  Manual of Euclid: Books IV, V, VI. - Página 72por Euclid - 1868Vista completa - Acerca de este libro
 | Robert Simson - 1806 - 546 páginas
...equal angles are homologous sides, that is, are the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC...and consequently» the angle BAC equal to the angle a 32. 1. CDE. The sides about the equal angles of the triangles ABC, DCE are proportionals ; and those... | |
 | John Playfair - 1806 - 320 páginas
...equal angles are homologous sides, that is, are the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC...ACB to the angle DEC, and consequently" the angle BAG equal to the a 32. 1., angle CDE. The sides about the equal angles of the triangles ABC, DCE are... | |
 | Euclid - 1810 - 554 páginas
...equal angles are homologous sides, that is, are the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC...and the angle ACB to the angle DEC, and consequently a the angle BAC equal to the angle a 32. 1 CDE. The sides about the equal angles of the triangles ABC,... | |
 | Euclides - 1814 - 560 páginas
...are tiie antecedents or consequents of the ratios. Let ABC, DCE he equiangular triangles, havingthe angle ABC equal to the angle DCE, and the angle ACB...consequently- ' the angle BAC equal to the ' angle CDE. The sides about the equal angles of live triangles ABC, DCE are proportionals ; and those arc the homologous... | |
 | Euclides - 1816 - 588 páginas
...is, are the antecedents or consequents of the ratios. LetABC,DCEbeequiangulartriangles,havingtheangle ABC equal to the angle DCE, and the angle ACB to the angle DEC; and consequently* the angle BAG equal to the • 3t. 1. angle CDE. The sides about the equal angles of the triangles ABC, DCE are... | |
 | John Playfair - 1819 - 354 páginas
...antecedents or consequents of the ratios. Let ABC. DCE be equiangular triangles, having the angle ABC eqtial to the angle DCE, and the angle ACB to the angle. DEC, and consequently (32. 1.) the angle EAC equal to the angle CDE. The sides about the equal angles of the triangles ABC,... | |
 | Peter Nicholson - 1825 - 1046 páginas
...consequents of the ratios. Let ABC, DCE be equiangular tringles, having the angle ABC equal to tbe angle DCE, and the angle ACB to the angle DEC, and consequently (31. l.) the angle ВАС equal to the angle CDE. The sides ahuut the equal ansies of the triangles... | |
 | Euclid, John Playfair - 1826 - 326 páginas
...equal angles are homologous sides, that is, are the anteeedents or eonsequents of the ratios. Let ABC, DCE, be equiangular triangles, having the angle ABC...angle DCE, and the angle ACB to the angle DEC, and eonsequently (32. 1.) the angle BAC equal to the angle CDE. The sides about the equal angles of the... | |
 | George Lees - 1826 - 276 páginas
...equal angles are homologous sides, that is, on the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC equal to the angle DCE, ACB equal to DEC, and, consequentlya, B AC equal to CDE, then will the sides about these » 12. i.... | |
 | Robert Simson - 1827 - 546 páginas
...equal angles are homologous sides, that is, are the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles having the angle ABC...angle ACB to the angle DEC; and consequently * the * ^2- '• & angle BAC equal to the angle CDE. The sides about the equal angles of the triangles ABC,... | |
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