 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
 | John Playfair - 1829 - 210 páginas
...homologous sides, that is, they are the antecedents or the consequents of the ratios. Let ABC, DCB be equiangular triangles, having the angle ABC equal...consequently the angle BAC equal to the angle CDE (2 Cor. 32. 1). The sides about the equal angles of the triangles ABC, DCE are proportional; and those... | |
 | John Playfair - 1832 - 358 páginas
...angles are homologous sides, that is, are the antecedents or con' sequents of the ratios. Let ABC, DCE, be equiangular triangles, having the angle ABC...and the angle ACB to the angle DEC, and consequently (32. 1. ) the angle BAG equal to the angle CDE. The sides about the equal angles of the triangles ABC,... | |
 | Robert Simson - 1835 - 544 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...DEC, and consequently * the angle BAC equal to the a 32. l. angle CDE. The sides about the equal angles of the triangles ABC, DCE are proportionals; and... | |
 | Euclid - 1835 - 540 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 BAG equal to the a 32. 1. angle CDE. The sides about the equal angles of the triangles... | |
 | John Playfair - 1836 - 148 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 (5. 2.) the angle BAC equal to the angle CDE. The sides about the equal angles of the triangles ABC,... | |
 | John Playfair - 1837 - 332 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 (4. Cor. 32. 1.) the angle BAG equal to the angle CDE. The sides about the equal angles of the triangles... | |
 | Andrew Bell - 1837 - 290 páginas
...are the antecedents or consequents of the ratios. Let ABC, DCE, be equiangular triangles, having die angle ABC equal to the angle DCE, and the angle ACB to the angle DEC, and consequently the angle BAG equal to the angle CDE (I. 32). The sides about the equal angles of the triangles ABC, DCE, are... | |
 | Euclides - 1838 - 264 páginas
...angles are homologous sides ; that is, are the antecedents or consequents of the proportions. Let ABC, DCE be equiangular triangles, having the angle ABC...to the angle DEC; and consequently* the angle BAC *mtt- equal to tne angIe CDE. The sides about the 3*AX. equal angles of the triangles ABC, DCE shall... | |
 | Robert Simson - 1838 - 434 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 (32. 1.) the angle BAC equal to the angle CDE. The sides about the equal angles of the triangles ABC,... | |
 | Euclides - 1841 - 378 páginas
...angles are homologous sides, that is, are the antecedents or consequents of the ratios. u 2 Let ABC, DCE be equiangular triangles, having the angle ABC equal to the angle DCE, and the angle * 32.1. ACB to the angle DEC, and consequently* the angle BAC equal to the angle CDE: the sides about... | |
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