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" 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, and Propositions 1-21 of Book XI - Página 72
por Euclid - 1868 - 141 páginas
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 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 consequently» the angle BAC equal to the angle a 32. 1. CDE. The sides about the equal angles of the triangles ABC, DCE are proportionals ; and those...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 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...ACB to the angle DEC, and consequently" the angle BAG equal to the a 32. 1., angle CDE. The sides about the equal angles of the triangles ABC, DCE are...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 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 BAC equal to the angle a 32. 1 CDE. The sides about the equal angles of the triangles ABC,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...are tiie antecedents or consequents of the ratios. Let ABC, DCE he equiangular triangles, havingthe angle ABC equal to the angle DCE, and the angle ACB...consequently- ' the angle BAC equal to the ' angle CDE. The sides about the equal angles of live triangles ABC, DCE are proportionals ; and those arc the homologous...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 páginas
...is, are the antecedents or consequents of the ratios. LetABC,DCEbeequiangulartriangles,havingtheangle ABC equal to the angle DCE, and the angle ACB to the angle DEC; and consequently* the angle BAG equal to the • 3t. 1. angle CDE. The sides about the equal angles of the triangles ABC, DCE are...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 páginas
...antecedents or consequents of the ratios. Let ABC. DCE be equiangular triangles, having the angle ABC eqtial to the angle DCE, and the angle ACB to the angle. DEC, and consequently (32. 1.) the angle EAC equal to the angle CDE. The sides about the equal angles of the triangles ABC,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 páginas
...consequents of the ratios. Let ABC, DCE be equiangular tringles, having the angle ABC equal to tbe angle DCE, and the angle ACB to the angle DEC, and consequently (31. l.) the angle ВАС equal to the angle CDE. The sides ahuut the equal ansies of the triangles...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 páginas
...equal angles are homologous sides, that is, are the anteeedents or eonsequents of the ratios. Let ABC, DCE, be equiangular triangles, having the angle ABC...angle DCE, and the angle ACB to the angle DEC, and eonsequently (32. 1.) the angle BAC equal to the angle CDE. The sides about the equal angles of the...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826
...equal angles are homologous sides, that is, on the antecedents or consequents of the ratios. Let ABC, DCE be equiangular triangles, having the angle ABC equal to the angle DCE, ACB equal to DEC, and, consequentlya, B AC equal to CDE, then will the sides about these » 12. i....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 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...angle ACB to the angle DEC; and consequently * the * ^2- '• & angle BAC equal to the angle CDE. The sides about the equal angles of the triangles ABC,...
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