 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. - Pàgina 72per Euclid - 1868Visualització completa - Sobre aquest llibre
 | John Keill - 1723 - 444 pàgines
...Sides which are fubtended under the equal Angles, are homologous, or of like Ratio. . -• ' ' TETABC. DCE, be equiangular Triangles, •*-' having the Angle ABC equal to the Angle DCE; the Angle A CB equal to the Angle DEC, and the Angle BAC equal to the Angle CDE. I fay, the Sides that... | |
 | Robert Simson - 1762 - 488 pàgines
...equal angles are homologous fides, that is, are the antecedents or confequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC...angle DCE, and the angle ACB to the angle DEC, and confequently " the angle BAC equal to the angle CDE. The fides "• 3*- 1• about the equal angles... | |
 | John Keill - 1772 - 462 pàgines
...Sides, which are fubtended under the equal Angles, are homologous ', or of like Ratio. TET ABC, DEC, be equiangular Triangles, -*~' having the Angle ABC equal to the Angle DCE, the Angle. ACB equal to the Angle D EC, >„ and the Angle BAC equal to the Angle CD £. I fay, the... | |
 | Robert Simson - 1775 - 534 pàgines
...equal angles are homologous fides, that is, are the antecedents or confequents of the ratios. Let AEC, DCE be equiangular triangles, having the angle ABC...angle DCE, and the angle ACB to the angle DEC, and confequently * the angle BAC equal to the angle » 3*. '• CDE. The fides about the equal angles of... | |
 | Euclid - 1781 - 552 pàgines
...angles are homologous fides, that is, e the antecedents or confequents of the ratios. po ar Let ABC, DCE be equiangular triangles, having the angle ABC...angle DCE, and the angle ACB to the angle DEC, and confequently' the angle BAC equal to the angle » 3». ». CDE. The fides about the equal angles of... | |
 | Euclid, James Williamson - 1781 - 324 pàgines
...proportionals; and thofe fides are of like fatio which are extended under the equal angles. Let ABC, DCE be equiangular triangles, having the angle ABC equal to the angle DCE; and the angle ACB equal to the angle DEC; and befides the angle BAC equal to the angle CDE : I fay that the fides about... | |
 | Euclid, John Playfair - 1795 - 462 pàgines
...equal angles are homologous fides, that is, are the antecedents or corifequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC equal to the angle DCE, and the angle ACB to the a"gle DEC, and ronfequently » the angle BAC equal to the a yi.i. angle CDE. The fides about the equal... | |
 | Alexander Ingram - 1799 - 374 pàgines
...equal angles, are homologous fides, that is, are the antecedents or confequents 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 a 3»- l• DEC, and confequently • the angle BAC equal to the angle CDE. The fides about the equal... | |
 | John Playfair, Euclid - 1804 - 468 pàgines
...equal angles are homologous fides, that is, are the antecedents or confequcnts of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC...angle DCE, and the angle ACB to the angle DEC, and confequently a the angle BAG equal to the » 34. i» angle CDE. Ths fides about the equal angles of... | |
 | Robert Simson - 1804 - 530 pàgines
...equal angles are homologous fides, that is, are the antecedents or confequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC equal to the angle DC1 ., and the angle ACB to the angle DEC, and confequently a the angle BAC equal to the angle CDE.... | |
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