| University of Oxford - 1907 - 152 páginas
...meet AB produced in 0. If CG is joined, prove that the triangles ABF &nd CFG are equal in area. 6. (b) **Divide a given straight line into two parts so that the rectangle contained by** those parts may be equal to the square on a given straight line, the length of the second given line... | |
| United States. Office of Education - 1907
...with twice the rectangle contained by the two parts. 8. Divide a given straight line into two parta, **so that the rectangle contained by the whole and one of the parts** may be equal to the square on the other part. The following is a list of the names of the Rhodes scholars... | |
| United States. Bureau of Education - 1907
...with twice the rectangle contained by the two parts. 8. Divide a given straight line into two parte, **so that the rectangle contained by the whole and one of the** parte may be equal to the square on the other part. The following is a list of the names of the Rhodes... | |
| Euclid - 1908
...Pythagoreans. The construction of this triangle depends upon n. n, or the problem of dividing a straight line **so that the rectangle contained by the whole and one of the parts** is equal to the square on the other part. This problem of course appears again in Eucl. vi. 30 as the... | |
| Great Britain. Education Department. Department of Science and Art - 1908
...will be allowed to pass who fails to obtain marks in any one of the three sections. A. 21. Show how **to divide a given straight line into two parts, so that the rectangle** under the whole line and one part mar be equal to the square on the other part. Draw a line, say about... | |
| Euclid - 1908
...square on the remaining segment. Let AB be the given straight line ; thus it is required to cut AB **so that the rectangle contained by the whole and one of the** segments is equal to the square on the remaining segment. For let the square ABDC be described on AB... | |
| Trinity College (Dublin, Ireland) - 1911
...another the angle subtended by the first is greater than that subtended by the second. 5. Divide a **line into two parts so that the rectangle contained by the whole** line and one part shall be equal to the square of the other part. 6. Prove that the rectangle contained... | |
| Florian Cajori - 1915
...geometric construction. In proposition 11, of Book II, of the Elements, Euclid solved by drawing lines the **problem : To divide a given straight line into two...parts, so that the rectangle contained by the whole** line and one part of it may be equal to the square on the other part. In algebra, this problem demands... | |
| Muḥammad ibn Mūsá Khuwārizmī, Muhammad ibn Mūsa (al-Khuwārazmī) - 1915 - 164 páginas
...square on the remaining segment. " Let AB be the given straight line ; thus it is required to cut AB **so that the rectangle contained by the whole and one of the** segments is equal to the square on the remaining segment. 1 References and citations from the Elements... | |
| Jay Hambidge - 1920 - 161 páginas
...(who flourished about 300 BC), the following propositions occur: (i) "To cut a given straight line **so that the rectangle contained by the whole and one of the** segments is equal to the square on the remaining segment" (Book II, proposition II); (2) "To cut a... | |
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