 | James Ryan, Robert Adrain - 1824 - 542 pagine
...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 - 550 pagine
...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... | |
 | Peter Nicholson - 1825 - 1046 pagine
...Wherefore, if a straight line, &c. QED Proposition Xf. Problem. To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal 'o the square of the other part. Let AB be the given straight line ; it is required to divide it into... | |
 | John Bonnycastle - 1825 - 336 pagine
...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... | |
 | Robert Simson - 1827 - 546 pagine
...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 contained by the whole,...parts, shall be equal to the square of the other part. Upon AB describe* the square ABDC; bisect* AC in E, ahd join BE : produce CA to F, and make* EF equal... | |
 | John Playfair - 1829 - 210 pagine
...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 - 358 pagine
...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 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;... | |
 | Euclid - 1835 - 540 pagine
...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 contained by the whole,...parts, shall be equal to the square of the other part. e 47. 1. Upon AB describe » the square ABDC ; bisect5 AC in E, Book ir. and join BE ; produce CA to... | |
 | Robert Simson - 1835 - 544 pagine
...square of the other part. Let AB be the given straight Hue; it is required to divide it into two part", so that the rectangle contained by the whole, and...parts, shall be equal to the square of the other part. c 3. ']. ' e 47. 1. Upon AB describe * the square ABDC ; bisect b AC in E, Book II and join BE ; produce... | |
 | John Playfair - 1836 - 148 pagine
...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 contained by the whole...parts shall be equal to the square of the other part. Upon AB describe (16. 2.) the square ABDC; bisect (8. 1.) AC in E, and join BE ; produce CA to F, and... | |
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To divide a given 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 the other part. 
