 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. - Side 72av Euclid - 1868Uten tilgangsbegrensning - Om denne boken
 | John Keill - 1723 - 444 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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 sider
...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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