 | Euclides - 1840 - 82 sider
...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 sider
...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 - 316 sider
...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 - 1842 - 332 sider
...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... | |
 | Euclides, James Thomson - 1845 - 382 sider
...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 - 546 sider
...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 - 1846 - 128 sider
...— &)«=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 sider
...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 - 1846 - 128 sider
...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... | |
 | Euclid, John Playfair - 1846 - 334 sider
...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... | |
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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... 
