 | 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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AB be the 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. 
