| John Playfair - Euclid's Elements - 1806 - 320 pages
...to the angle CAD. Wherefore, if the exterior, &c. QED i * PROP. IV. THEOR. THE sides about the equal **angles of equiangular triangles are proportional ;...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... | |
| Robert Simson - Trigonometry - 1806 - 518 pages
...QED PROP. IV. THEOR. THE sides about the equal angles of equiangular triangles are proportionals ; **and those which are opposite to the equal angles are...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... | |
| John Mason Good - 1813 - 722 pages
...angles. Prop. IV. Theor. The sides about the equal angle« of equiangular triangles are proportionals ; **and those which are opposite to the equal angles are...ratios. Prop. V. Theor. If the sides of two triangles,** about each of their angles, be proportionals, the triangles shall be equiangular, and have their equal... | |
| Euclides - 1814 - 558 pages
...PROP. IV. THEOR. • X 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** tiie antecedents or consequents of the ratios. Let ABC, DCE he equiangular triangles, havingthe angle... | |
| Euclides - 1816 - 528 pages
...QED PROP. IV. THEOR. THE sides about the equal angles of equiangular triangles are proportionals ; **and those which are opposite to the equal angles are...are the antecedents or consequents of the ratios.** LetABC,DCEbeequiangulartriangles,havingtheangle ABC equal to the angle DCE, and the angle ACB to the... | |
| Daniel Cresswell - Geometry - 1816 - 294 pages
...to the three angles of the other, each to each, the sides about the equal angles are proportionals ; **and those, which are opposite to the equal angles, are homologous sides.** Let the spherical triangles ABC, EDF, be on unequal spheres ; and let the angles A, B, C of the one,... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...Q,. ED PROP. IV. THEOR. The sides about the equal angles of equiangular triangles are proportionals ; **and those which are opposite to the equal angles are...are the antecedents or consequents of the ratios.** Let ABC, DCE be equiangular triangles, having the angle ABC wjual to the angle DCE, imd the angle ACB... | |
| John Playfair - 1819 - 317 pages
...Q, ED PROP. IV. THEQR. 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,** arf the antecedents or consequents of the ratios. Let ABC. DCE be equiangular triangles, having the... | |
| George Lees - 1826 - 266 pages
...GEOMETRY. PROP. IV. THEOREM. 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,** on the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles, having the... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...THEOR, The sides about the equal angles of equiangular triangles are proportionals ; and those whieh **are opposite to the equal angles are homologous sides, that is, are the** anteeedents or eonsequents of the ratios. Let ABC, DCE, be equiangular triangles, having the angle... | |
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