| Peter Nicholson - 1825 - 1046 pàgines
...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. Upon AB describe (46. I.) the square ABDC; bisect (10. 1.) AC in E, and join BE ; produce С A to F,... | |
| John Bonnycastle - 1825 - 336 pàgines
...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 pàgines
...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... | |
| Euclid - 1835 - 540 pàgines
...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 Playfair - 1836 - 148 pàgines
...PROB. ff To divide a given straight line into two partx, so that the rectangle con tained 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... | |
| Euclides - 1837 - 112 pàgines
...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 to the square of c KT~i the other part. Steps of the Demonstration. 1. Prove that CF x FA + AE* = EF*, and that this... | |
| Euclides - 1838 - 264 pàgines
...PROS. 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 D. Williams - 1840 - 634 pàgines
...required to divide a line of 20 inches in length, into two such parts that the rectangle of the whple and one- of the parts shall be equal to the square of the other. Let one part — x ; then the other will be 20 — x. And by the question 20(20 — х)=з?, or ^+20^=400... | |
| Euclides - 1841 - 378 pàgines
...PROB. 1 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 Playfair - 1842 - 332 pàgines
...; it is required to divide it into two parts, so that the rectangle contained by Ji ft. the whole, and one 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 F,... | |
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