| 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.... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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,... | |
| 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,... | |
| 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,... | |
| 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,... | |
| 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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