 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 - 1842 - 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 BAC equal to the angle CDE. The sides about the equal angles of the triangles... | |
 | Euclides - 1842 - 316 páginas
...equal angles are homologous sides, that is, 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 - 1845 - 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...sides about the equal angles of the triangles ABC, DCE shall be proportionals; and those shall be the homologous sides which are opposite to the equal... | |
 | Euclid - 1845 - 218 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...equal to the angle DCE, and the angle ACB to the angle • 32. i. and DEC; and consequently* the angle 3 Ax. BAC equal to the angle CDE : the sides about... | |
 | Euclides - 1846 - 292 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...consequently the angle BAC equal to the angle CDE : then the sides about the equal angles of the triangles, ABC, DCE, shall be proportionals, those being... | |
 | Euclid, John Playfair - 1846 - 334 páginas
...angles are homologous sides, that is, are the antecedents or consequents of the ratios Let ABC, DCE,be equiangular triangles, having the angle ABC equal...and the angle ACB to the angle DEC, and consequently (4. Cor. 32. 1.) the angle BAC equal to the angle CDE. The sides about the equal angles of the triangles... | |
 | John Playfair - 1849 - 332 páginas
...angles are homologous sides, that is, are the antecedents or consequents of the ratios Let ABC, DCE,be equiangular triangles, having the angle ABC equal...and the angle ACB to the angle DEC, and consequently (4. Cor. 32. 1.) the angle BAC equal to the angle CDE. The sides about the equal angles of the triangles... | |
 | Euclides - 1853 - 176 páginas
...angles are homologous sides, that is, are the antecedents or consequents oftlie ratios. LET abc, dce he equiangular triangles, having the angle abc equal...and the angle acb to the angle dec, and consequently (i. 32) the angle bac equal to the angle cd e. The sides about the equal angles of the triangles abc,... | |
 | Royal Military Academy, Woolwich - 1853 - 400 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 equal to the angle DCE, and the angle ACB F to the angle DEC ; and consequently (32. i. and 3 Ax.) the angle BAC equal to the angle CDE : the... | |
 | Euclid, John Playfair - 1853 - 336 páginas
...or consequents of the ratios Let ABC, DCE, be equiangular triangles, having the angle ABC equal (o the angle DCE, and the angle ACB to the angle DEC, and consequently (4. Cor. 32. 1.) the angle BAC equal to the angle CDE. The aides about the equal angles of the triangles... | |
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