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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. "
Military examinations. Mathematical examination papers, set for entrance to ... - Seite 34
von Woolwich roy. military acad, Walter Ferrier Austin - 1880
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Report of the Commissioner of Education Made to the Secretary of the ..., Band 1

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

Great Britain. Education Department. Department of Science and Art - 1908 - 328 Seiten
...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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Mathematical Papers for Admission Into the Royal Military Academy and the ...

Royal Military Academy, Woolwich - 1909 - 456 Seiten
...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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Calendar, Teil 3

University of Calcutta - 1910 - 684 Seiten
...rectangle. 6 Hence show how to construct on a given base a rectangle equal 3 to a given square. Or, Divide a given straight line into two parts so that the rectangle 6 contained by the whole and one of the parts may be equal to the square on the other part. Show that...
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Journal of Education

1911 - 1334 Seiten
...morning; I 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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Annual Report of the Department of Education of the Province of Alberta, Band 5

Alberta. Department of Education - 1911 - 226 Seiten
...any two 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...
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The Dublin University Calendar, Band 1

Trinity College (Dublin, Ireland) - 1911 - 614 Seiten
...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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Special Reports on Educational Subjects, Bände 26-27

Great Britain. Board of Education - 1912 - 1044 Seiten
...BD. If the sides AB, AC are 2'8, 9'6 centimetres respectively, calculate the lengths of BD, DC, AD. 4. Divide a given straight line into two parts so that the square on one part may be equal to the rectangle contained by the whole line and the other part. Prove...
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