 CF; and because it has been shewn, that, as the base BC is to the base CD, so is the triangle ABC to the triangle ACD; and as the triangle ABC is to the triangle ACD, so is the parallelogram EC to the parallelogram CF; therefore, as the base BC is to...  Manual of Euclid. Books IV. V. VI. - Page 68by Euclid - 1859Full view - About this book
 | Robert Simson - Trigonometry - 1806 - 546 pages
...greater than the triangle ALC ; fa S.rlef. 5. and if equal, equal ; and if less, less : therefore b, as the base BC is to the base CD, so is the triangle ABC to the tri«ngle ACD. And because the parallelogram CE is double of the triangle ABC', and the parallelogram... | |
 | John Playfair - Mathematics - 1806 - 320 pages
...if the base HC be greater than the base CL, the triangle AHC is greater than the triangle ALC ; and if equal, equal ; and if less, less. Therefore as the base >BC is to the base Book VI. CD, so is the triangle ABC to the triangle ACDb. . s-*^^^/ Because the parallelogram CE is... | |
 | Euclid - Geometry - 1810 - 554 pages
...ACD; and as the triangle ABC to the triangle ACD, so is the parallelogram EC to the parallelogram CF; therefore as the base BC is to the base CD, so is « the parallelogram EC to the parallelogram CF. Where- e 11. 5. fore triangles, &c. QED Coa. From this it... | |
 | Euclides - 1814 - 560 pages
...and as the triangle ABC is to the triangle ACD, so is the parallelogram EC to the parallelogram CF; therefore, as the base BC is to the base CD, so is e the parallelogram EC to the parallelogram CF. Where- * "• *• fore, triangles, &c. QED Let their... | |
 | Euclides - 1816 - 588 pages
...triangle ACD, so is the parallelogram EC to the parallelogram CF : Arid because it has been shown, that, as the base BC is to the base CD, so is the triangle ABC to the triangle ACD ; and as the triangle ABC is to the triangle ACD, so is the parallelogram EC to the parallelogram CF... | |
 | John Playfair - 1819 - 354 pages
...is greater than die triangle ALC ; and if equal, equal ; and if less, less : Therefore (def. 5. 5.), as the base BC is to the base CD, so is the triangle ABC to the triangle ACD. And because the parallelogram CE is double of the triangle ABC (41. 1.), and the parallelogram CF double... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...; and as the triangle ABC to the triangle ACD, so is the parallelogram EC to the parallelogram CF ; therefore, as the base BC is to the base CD, so is (11. 5.) the parallelogram E£ to the parallelogram CF. Wherefore triangles, &c. Q, ED COR. From this... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...and as the triangle ABC is to the triangle ACD, so is the parallelogram EC to the parallelogram CF ; therefore, as the base BC is to the base CD, so is (1!. 5.) the parallelogram EC to the parallelogram CF. Wherefore triangles, &c. QED Сок. From this... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...parallelograms EC, CF have the same altitude, viz. the perpendieular drawn from the point A .to BD : Then, as the base BC, is to the base CD, so is the triangle ABC to the triangle ACT), and the parallelogram EC to the parallelogram CF. Produee BD hoth ways to the points H, L, and... | |
 | Euclides - 1826 - 226 pages
...have the same altitude, viz. the perpendicular drawn from the point A to BD. Then as the base вс is to the base CD, so is the triangle ABC to the triangle ACD, and the parallelogram EC to the parallelogram CF. Produce в D both ways to the points н, L, and take... | |
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