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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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Pàgina 54
per Robert Simson - 1762 - 466 pàgines
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Annual Report

Saskatchewan. Department of Education - 1910 - 260 pàgines
...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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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pàgines
...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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The Thirteen Books of Euclid's Elements

Euclid - 452 pàgines
...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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Examination,Midsummer,1879

Education Department - 1879 - 1118 pàgines
...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 Dream of the West, Pt II, Part 2

Brian Lasater - 2008 - 600 pàgines
...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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Parliamentary Papers, Volum 30

Great Britain. Parliament. House of Commons - 1853 - 520 pàgines
...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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Calendar

University of Cambridge - 1853 - 650 pàgines
...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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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pàgines
...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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