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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, shall be equal to the square of the other part. "
A companion to Euclid: being a help to the understanding and remembering of ... - Página 45
por Euclides - 1837 - 88 páginas
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Responsions: Papers in Stated Subjects-exclusive of Books-, 1901-1906

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...
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Report of the Commissioner of Education, Volumen1

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...
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Report of the Commissioner of Education Made to the Secretary of the ...

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...
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Books 3-9

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...
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Science Examination Papers

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...
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Introduction and books 1,2

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...
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The Dublin University Calendar, Volumen1

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...
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Elementary Algebra: First[-second] Year Course, Volumen1

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...
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Robert of Chester's Latin translation of the Algebra of al-Khowarizmi

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...
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Dynamic Symmetry: The Greek Vase

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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