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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. "
Elements of geometry, based on Euclid, books i-iii - Page 71
by Edward Atkins - 1876 - 119 pages
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Annual Report of the Commissioners ..., Volume 73

1907 - 608 pages
...with the square of the line between the poiuts of section, is equal to the square of half the line. 4. To divide a given straight line into two parts, so...rectangle contained by the whole and one of the parts, may be equal to the square of the other. SECTION B. 5. Jf one angle of a triangle be equal to the sum...
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Report of the Commissioner of Education Made to the Secretary of ..., Volume 1

United States. Bureau of Education - Education - 1907 - 724 pages
...to the squares on the two parts, together with twice the rectangle contained by (lie two parts. 8. Divide a given straight line into two parts, so that...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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Responsions: Papers in Stated Subjects-exclusive of Books-, 1901-1906

University of Oxford - 1907 - 160 pages
...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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Annual Report of the Association of Ontario Land Surveyors, Issue 22

Association of Ontario Land Surveyors - Surveying - 1907 - 218 pages
...two right angles. 4. Inscribe an equilateral triangle in a given circle; trisect a right angle. 5. To divide a given straight line into two parts so that the rectangle contained under the whole and one of the parts shall be equal to the square on the other part. 6. The sum of...
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Annual Report, Volume 1

United States. Office of Education - Education - 1907 - 720 pages
...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 ..., Volume 1

United States. Bureau of Education - Education - 1907 - 732 pages
...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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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1908 - 328 pages
...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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Books 3-9

Euclid - Mathematics, Greek - 1908 - 456 pages
...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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Introduction and books 1,2

Euclid - Mathematics, Greek - 1908 - 550 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. For let the square ABDC be described on AB...
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Mathematical Papers for Admission Into the Royal Military Academy and the ...

Royal Military Academy, Woolwich - Mathematics - 1909 - 456 pages
...described on a given base, and having a given area, that which has the least perimeter it isosceles. 3. 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. If the line be divided so that nine times the rectangle...
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