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Libros Libros 1 - 10 de 40 sobre DE, and between the same parallels DE, BC; but ADE is another triangle ; and equal...
" DE, and between the same parallels DE, BC; but ADE is another triangle ; and equal magnitudes have the same ratio to the same magnitude; (v. 7.) therefore, as the triangle BDE is to the triangle ADE... "
Manual of Euclid: Books IV, V, VI, and Propositions 1-21 of Book XI - Página 69
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
...triangle, and equal magnitudes have to the same the same ratiob; therefore, as the b 7. 5. triangle BDE to the triangle ADE, so is the triangle CDE to the triangle ADE; but as the triangle BDIi to the triangle ADE, so isc BD to DA, because having the same altitude, viz. c1....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 páginas
...triangle BDE is equal to the triangle CDEa. But ADE is another triangle, therefore as the triangle BDE to the triangle ADE, so is the triangle CDE to the triangle ADEb. But, as the triangle BDE to the triangle ADE, so isc BD to DA; and as the triangle CDE to the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 páginas
...triangle, and equal magnitudes have, to the same, the same ratio (7. 5.) ; therefore, as the triangle BDE to the triangle ADE, so is the triangle CDE to the triangle ADE ; but as the triangle BDE to the triangle ADE, so is (1. 6.) BD to DA, because having the same altitude,...
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Euclid's Elements of geometry, transl. To which are added ..., Libros 1-6

Euclides - 1826
...to the triangle ADE," but as CE is to < i. 6. «A so is the triangle CDE to the triangle ADE ; and therefore as the triangle BDE is to the triangle ADE so is the triangle CDE to the triangle ADE. Hence eaph of the triangles BDE, CDE, has the same ratio to the triangle ADE. Therefore the triangle...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid, Phillips - 1826 - 180 páginas
...to the triangle ADE,C but as CE is to • i. 6. EA so is the triangle CDE to the triangle ADE; and therefore as the triangle BDE is to the triangle ADE so is the triangle CDE to the triangle ADE. Hence each of the triangles BDE, CDE, has the same ratio to the triangle ADE. Therefore the triangle...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 páginas
...parallels DE, BC : ADE is another triangle; and equal magnitudes have to the * 7- 5. same* the same ratio ; therefore, as the triangle BDE •is to the triangle...ADE, so is the triangle CDE to the triangle ADE: but as the triangle BDE to the triangle * 1• 6, ADE so is* BD to DA, because, having the same altitude,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...DE, BC: ADE is another triangle ; and equal magni• 7. 5. tudes have to the same * the same ratio ; therefore, as the triangle BDE is to the triangle...ADE, so is the triangle CDE to the triangle ADE : but as the triangle BDE • 1. 6. to the triangle ADE, so is * BD to DA, because, having the same altitude,...
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The Element of Geometry

John Playfair - 1836 - 114 páginas
...triangle, and equal magnitudes have to the same, the same ratio (13. 4.) ; therefore as the triangle BDE to the triangle ADE, so is the triangle CDE to the triangle ADE ; but as the triangle BDE to the triangle ADE, so is (Cor. 2. 2. 5.) BD to DA, because having the same altitude,...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 páginas
...triangle, and equal magnitudes have, to the same, the same ratio (7. 5.) ; therefore, as the triangle BDE to the triangle ADE, so is the triangle CDE to the triangle ADE ; but as the triangle BDE to the triangle ADE, so is (1. 6.) BD to DA, because, having the same altitude,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...triangle, and equal magnitudes have to the same the same ratio (V. 7) ; therefore, as the triangle BDE to the triangle ADE, so is the triangle CDE to the triangle ADE; but as the triangle BDE to the triangle ADE, so is BD to DA (VI. 1) ; because, having the same altitude,...
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