| University of Calcutta - 1910 - 684 pages
...rectangle. 6 Hence show how to construct on a given base a rectangle equal 3 to a given square. Or, **Divide a given straight line into two parts so that the rectangle** 6 contained by the whole and one of the parts may be equal to the square on the other part. Show that... | |
| Education - 1911 - 1334 pages
...morning; I mil K°ing to send for the doctor. GEOMETRY.— XI. 9 TO 11 AM, WEDNESDAY, STH JULY, 1911. 1. **Divide a given straight line into two parts so that the rectangle contained by the whole and one** part may be equal to the square on the other part. 2. If a straight line is divided internally in medial... | |
| Alberta. Department of Education - Education - 1911 - 226 pages
...of any two straight lines is equal to the difference of the squares on the two straight lines. 9 8. **To divide a given straight line into two parts so that the rectangle contained by the whole** line and one part may be equal to the square on the other part. 11 — II. Values. 8 10. If any two... | |
| Trinity College (Dublin, Ireland) - 1911 - 614 pages
...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... | |
| Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...used.) 1. Prove that the diagonals of a parallelogram bisect one another. 2. Divide a straight line **so that the rectangle contained by the whole and one of the parts shall be equal to the square on the** remaining part. Prove that the difference of the squares on the whole and on the remaining part is... | |
| Great Britain. Board of Education - Education - 1912 - 1044 pages
...middle points of BC, B'C', respectively, prove that AU is less than A'O1. 2. Divide a straight line **so that the rectangle contained by the whole and one of the parts shall be equal to the square on the** remaining part. Prove that the difference of the squares on the whole and on the remaining part is... | |
| Newfoundland Council of Higher Education - 1912 - 300 pages
...sides, prove that the angle contained by those two sides is a right angle. Show, without proof, how **to divide a given straight line into two parts, so that the** sum of the squares on the two parts may be to the square on the whole line as 9 is to 16. (12) 7. Prove... | |
| Florian Cajori, Letitia Rebekah Odell - Algebra - 1915 - 240 pages
...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 - Literature, Medieval - 1915 - 206 pages
...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 - Decoration and ornament - 1920 - 212 pages
...(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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