| Euclides - 1838 - 264 pages
...their sum and difference. PROP. VI. THEOR. If a straight line be bisected, and produced to any point ; **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
| Euclides - 1840 - 82 pages
...may be equal to a given area, not exceeding the square of half the line. / / L. MK PROP. XXIX. PROB. **To produce a given straight line, so that the rectangle contained by the** segments between the extremities of the given line and the point to which it is produced, may be equal... | |
| Euclides - 1841 - 378 pages
...segments shall be equal to a given rectangle, not exceeding the square upon half the given line. 44. **To produce a given straight line, so that the rectangle...contained by the whole line thus produced, and the part** produced, shall be equal to a given rectangle. 45. In a given circle to inscribe three equal circles,... | |
| Euclides - 1842
...their sum and difference. PROP. VI. THEOR. IF a straight line be bisected, and produced to any point : **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected, is equivalent to the square of the straight line... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...contained by the segments AG, GB is equal to the square upon the given straight line C. PROP. XXIX. PROB. **To produce a given straight line, so that the rectangle contained by the** segments between the extremities of the given line, and the points to which it is produced, may be... | |
| Euclid, James Thomson - Geometry - 1845 - 382 pages
...hypotenuse and the other. PROP. VI. THEOR. — If a straight line be bisected, and be produced to any point; **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
| Euclides - 1845 - 544 pages
...chord in the interior circle be produced either way to meet the circumference of the exterior circle, **the rectangle contained by the whole line thus produced and the part** produced, is a constant quantity. 103. If there be two concentric circles, and any chord of the greater... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...— &)«=a 2 ; or be + (c—a)> = a e . 62 Prop. Prop. HypProp. Prop. Cor. Prop. GEOMETRY. any point; **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
| Euclides - 1846 - 292 pages
...their sum and difference. PROP. VI. THEOR. If a straight line be bisected and produced to any point, **the rectangle contained by the whole line thus produced and the part of it produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...be bisected, and produced to Prop. 33. Prop. 29. Hyp. Prop. 35. Prop. 37. Cor. Prop. 43. any point; **the rectangle contained by the whole line thus produced, and the part of it produced,** together with the square of half the line bisected, is equal to the square of the straight line which... | |
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