| 1911 - 1330 sider
...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 - 1911 - 226 sider
...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 - 616 sider
...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 - 1912 - 1048 sider
...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... | |
| Great Britain. Board of Education - 1912 - 632 sider
...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... | |
| Florian Cajori, Letitia Rebekah Odell - 1915 - 240 sider
...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 - 1915 - 206 sider
...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 - 212 sider
...(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... | |
| David E. Smith - 1958 - 756 sider
...also gives in the Elements such geometric problems as the following : To cut a given straight line **so that the rectangle contained by the whole and one of the** segments shall be equal to the square on the remaining segment.3 This may be represented algebraically... | |
| Saskatchewan. Department of Education - 1910 - 260 sider
...the square on the longer diagonal is three times the square on the shorter. 4. (a) To divide a given **straight line into two parts, so that the rectangle...parts may be equal to the square on the other part.** II. 11. (6) Divide a given straight line externally in medial section. 5. Enunciate and demonstrate... | |
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