 | James Ryan, Robert Adrain - 1824 - عدد الصفحات: 542
...sought. Ans. II, or 3], Prob. 22. It is required to divide 20 into two such parts, that the product of the whole and one of the parts, shall be equal to the square of the other. Ans. lOv/5 — 10, and 30— 10^/5, Prob. 23. A labourer dug two trenches, one of which was 6 yards... | |
 | James Ryan - 1824 - عدد الصفحات: 550
...sought. Ans. 1 1 , or 3] . Prob. 22. It is required to divide 20 into two such parts, that the product of the whole and one of the parts, shall be equal to the square of the other. Ans. lOv/5— 10, and 30— lOy/5. Prob. 23. A labourer dug two trenches, one of which was 6 yards... | |
 | John Bonnycastle - 1825 - عدد الصفحات: 336
...is required to divide a line, of 20 inches in length, into two such parts that the rectangle of (he whole and one of the parts shall be equal to the square of the other. Ans. 10^5-10, and 30—10^/5 6. It is required to divide the number 60 into two such parts that their... | |
 | Daniel Cresswell - 1825 - عدد الصفحات: 616
...whole tine and out; of Us parts, shall have a given ratio to the square of the other part *. Let Jli be the given straight line : It is required to divide it into two parts, such that the rectangle contained by AB and one of the parts shall have to the square of the other... | |
 | Euclid, John Playfair - 1826 - عدد الصفحات: 326
...into two parts, so that the reetangle eontained by the whole, and one of the parts, may be equal to the square of the other part. Let AB be the given...required to divide it into two parts, so that the reetangle eontained by the whole, and one of tb.e parts, shall be equal to the square of the other... | |
 | Miles Bland - 1827 - عدد الصفحات: 462
...whole line produced and the part produced may be equal to a given square. 9. To divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square of a given line, which is less than the line to be divided. 10. To divide... | |
 | Robert Simson - 1827 - عدد الصفحات: 546
...PROP. X. PROB. To bisect a given Jinite straight line, that is, to divide it into two equal parts. Let AB be the given straight line ; it is required to divide it into two equal parts. Describe* upon it an equilateral triangle ABC, and * 1. 1. bisect* the angle ACB by the... | |
 | John Playfair - 1829 - عدد الصفحات: 210
...PROPOSITION IX. PROBLEM. To divide a given straight line into two parts which shall be in any given ratio. Let AB be the given straight line; it is required to divide AB into two parts which shall be in a given ratio. From the point A draw a line AC, making any angle... | |
 | John Playfair - 1832 - عدد الصفحات: 358
...into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. Let AB be the given...that the rectangle contained by the whole, and one of the_parts, sha'l be equal to the square of the other part. Upon AB describe (40. 1.) the square ABDC;... | |
 | Euclides - 1834 - عدد الصفحات: 518
...PROBLEM. — To divide a given straight line into two parts, to that the rectangle contained by the wholc and one of the parts, shall be equal to the square of the other part. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle... | |
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AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. 
