 | Euclides - 1855 - 270 páginas
...37), because they are on the same base DE, and between the same parallels DE, and B С. But ADE is another triangle ; and equal magnitudes have the same...triangle BDE is to the triangle ADE, so is the triangle С DE to the triangle AD E. But the triangle BDE is to the triangle ADE, as BD is to DA (VI. 1), because... | |
 | Robert Potts - 1860 - 380 páginas
...CDE, (I. 37.) because they are on the same base DE, and between the same parallels DE, BC; but ADE is another triangle ; and equal magnitudes have the same...ADE, so is the triangle CDE to the triangle ADE: but as the triangle BDEto the triangle ADE, so is BD to DA, (vi. 1.) because, having the same altitude,... | |
 | Euclides - 1860 - 288 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,... | |
 | Euclides - 1863 - 122 páginas
...another triangle, and equal magnitndes have the same ratio to the same magnitude (V. 7). Therefors, as the triangle BDE is to the triangle ADE so is the...CDE to the triangle ADE. But the triangle BDE is to tho triangle ADE as BD is to DA (VI. 1), because their altitude is the perpendicular drawn from the... | |
 | Euclides - 1864 - 448 páginas
...CDE, (I. 37.) because they are on the same base DE, and between the same parallels DE, BC; but ADE is another triangle ; and equal magnitudes have the same...ADE, so is the triangle CDE to the triangle ADE: but as the triangle BDEto the triangle ADE, so is BD to DA, (vI. 1.) because, having the same altitude,... | |
 | Robert Potts - 1865 - 528 páginas
...CDE, (i. 37.) because they are on the same base DE, and between the same parallels DE, BC; but A DE is another triangle ; and equal magnitudes have the same...ADE, so is the triangle CDE to the triangle ADE: but as the triangle BDE to the triangle ADE, so is BDtoDA, (vi. 1.) because, having the same altitude,... | |
 | Euclides - 1865 - 402 páginas
...CDE, because they are on the same base DE, and between the same parallels BE, BC ; (i. 37.) but ABE is another triangle ; and equal magnitudes have the same...therefore, as the triangle BDE is to the triangle ABE, so is the triangle CDE to the triangle ADE; but, because the triangles BDE, ABE have the same... | |
 | Euclid, Isaac Todhunter - 1867 - 426 páginas
...CDE, because they are on the same base DE and between "the same parallels DE, BC. [I. 37. And ADE is another triangle ; and equal magnitudes have the same ratio to the same magnitude ; [V. 7. therefore the triangle BDE is to the triangle ADE as the triangle CDE is to the triangle ADE. But the triangle... | |
 | Euclid, Isaac Todhunter - 1867 - 424 páginas
...CDE, because they are on the same base DE and between 'the same parallels DE, BC. [I. 37. And ADE is another triangle ; and equal magnitudes have the same ratio to the same magnitude ; [V. 7. therefore the triangle BDE is to the triangle ADE as the triangle CDE is to the triangle ADE. But the triangle... | |
 | Robert Potts - 1868 - 434 páginas
...CDE, (I. 37.) because they are on the same base DE, and between the same parallels DE, BC; but ADE is another triangle ; and equal magnitudes have the same...therefore, as the triangle BDE is to the triangle A DE, so is the triangle CDE to the triangle ADE: but as the triangle BDE to the triangle ADE, so is... | |
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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... 
