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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. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 64
av Robert Simson - 1806 - 518 sider
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Report of the Commissioner of Education Made to the Secretary of ..., Volum 1

United States. Bureau of Education - 1907 - 724 sider
...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 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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Annual Report of the Commissioners ..., Volum 73

1907 - 608 sider
...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 that the...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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Annual Report, Volum 1

United States. Office of Education - 1907 - 720 sider
...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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Responsions: Papers in Stated Subjects-exclusive of Books-, 1901-1906

University of Oxford - 1907 - 160 sider
...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, Utgave 22

Association of Ontario Land Surveyors - 1907 - 218 sider
...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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Report of the Commissioner of Education Made to the Secretary of ..., Volum 1

United States. Bureau of Education - 1907 - 732 sider
...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 - 456 sider
...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 - 1908 - 550 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. 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 - 1909 - 456 sider
...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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Journal of Education

1911 - 1334 sider
...mil 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...
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