 | John Playfair - 1806 - 320 σελίδες
...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, e 47. 1. Upon AB describe" the square ABDC ; bisectb AC in E, Book II. and join BE ; produce... | |
 | Robert Simson - 1806 - 546 σελίδες
...PROP. XI. PROB. TO clivjde a given straight line 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. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle... | |
 | John Bonnycastle - 1813 - 456 σελίδες
...4. It is required to divide a line, of 20 inches in length, into two such parts, that the rectangle of the whole and one of the parts shall be equal to the square of the other. Ans. 10/5 — 10 5. It is required to divide the number 60 into two such parts, that their product shall be to the sum... | |
 | John Mason Good - 1813 - 714 σελίδες
...Prop. XI. Prob. To divide a given straight line into two parts, so that thé rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. Prop. XII. Theor. In obtuse angled triangles, if a perpendicular be drawn from any of the acute... | |
 | Euclides - 1816 - 588 σελίδες
...PROP. XI. PROB. 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 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... | |
 | John Bonnycastle - 1818 - 326 σελίδες
...4. It is required to divide a line, of 20 inches in length, into two such jiarts that the rectangle of the whole and one of the parts shall be equal to the square of the other. Ans. lOv/6-10 5. It is required to divide the number 60 into two such parts, that their product shall be... | |
 | John Playfair - 1819 - 354 σελίδες
...given straight line ; it is required to divide it into two parts, so that the rectangle contaiaed by the whole, and o'ne of the parts, shall be equal to the square of the other part. Upon AB describe (46. 1.) the square ABDC ; bisect (10. 1.) AC in E, and join BE ; produce CA... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...line: it is required to divide it into two parts, so that the rectangle contained by the whole and dne of the parts shall be equal to the square of the other part. Upon AB describe (46. 1.) the square ABDC; bisect (10. 1.) AC in E, and join BE; produce CA to... | |
 | James Ryan, Robert Adrain - 1824 - 542 σελίδες
...remainder, minus 1, will be 9 times the number sought. Ans. II, or 3], Prob. 22. It is required to divide 20 into two such parts, that the product of...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 longer... | |
 | James Ryan - 1824 - 550 σελίδες
...remainder, minus 1, will be 9 times the number sought. Ans. 1 1 , or 3] . Prob. 22. It is required to divide 20 into two such parts, that the product of...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 longer... | |
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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. 
