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" AB be the given straight line ; it is required to divide it 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. "
The First Six Books: Together with the Eleventh and Twelfth - Page 62
by Euclid - 1781 - 520 pages
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...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...
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Annual Report

Saskatchewan. Department of Education - Education - 1910 - 260 pages
...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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The Dream of the West, Pt II, Part 2

Brian Lasater - History - 2008 - 600 pages
...which is a variation on (a + b)(a - b) = a2 -- b2. Theorem 7 (II, 11) To cut a given straight line so that the rectangle contained by the whole and one of the parts is equal to the square of the other. Let the given line be AB. The problem is to find a point H on...
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...between the same parallels, are equal to one another. 9. 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. 10. In a circle the angle in a semicircle is a right...
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Calendar

University of Cambridge - 1853 - 650 pages
...a line gin in position an equilateral triangle. 3. 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 the other part. In the figure, if H be the point of division of the...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...square of the line between the points of section. 6. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts ehall be equal to the square of the other part. 7. To draw a straight line from a given point, either...
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Examination,Midsummer,1879

Education Department - 1879 - 1136 pages
...proposition and state it algebraically. SECTION III. 1. 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 on the other part. If the straight line AB be divided in C so that the...
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The Thirteen Books of Euclid's Elements

Euclid - 452 pages
...The construction of this triangle depends upon u. 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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Parliamentary Papers, Volume 30

Great Britain. Parliament. House of Commons - Bills, Legislative - 1853 - 520 pages
...proposition included in any more general one? (2.) 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. Can this be solved arithmetically.? If so, find approximately...
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