 | Alberta. Department of Education - 1911 - 226 σελίδες
...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 σελίδες
...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 - 1044 σελίδες
...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... | |
 | Great Britain. Board of Education - 1912 - 632 σελίδες
...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... | |
 | F. A. Brining, D. N. Avasia - 1913 - 282 σελίδες
...required number of equal parts a given straight line which is too short to admit of distinct divisions. Let AB be the given straight line. It is required to divide it into 5 equal parts. At A erect a perpendicular AC, and on AC set off as many equal distances as there are... | |
 | Muḥammad ibn Mūsá Khuwārizmī - 1915 - 206 σελίδες
...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... | |
 | Florian Cajori, Letitia Rebekah Odell - 1915 - 240 σελίδες
...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... | |
 | Jay Hambidge - 1920 - 212 σελίδες
...(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 σελίδες
...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 σελίδες
...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 contained by the whole and one of the parts may be equal to the square on the other part. II. 11. (6) Divide a given straight line externally in... | |
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To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. 
