 | Euclides - Geometry - 1841 - 378 pages
...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,... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...difference of their squares PROP. VI THEOR. If a straight line be bisected, and producedto any point ; the rectangle contained by the whole line thus produced,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
 | Euclides - 1842 - 316 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,...the part of it produced, together with the square of half the line bisected, is equivalent to the square of the straight line which is made up of the... | |
 | 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,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
 | Euclides - 1845 - 546 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 - 128 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,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...£ / it M r"3> ' '•• * PROP. VI THEOR. Ifastraightlinebe bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
 | 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...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 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,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
 | Euclides - 1848 - 52 pages
...line. EUCLID S ELEMENTS. PROP. VI. THEOREM. If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced,...the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half... | |
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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 on... 
