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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
The student's guide to the University of Durham, with information respecting ... - Página 136
1880 - 144 páginas
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## Report of the examination held (Dec. 1859)-73

...described on the other two sides of it,the angle contained by these two sides is a right angle. 8. If a straight line be divided into any two parts,...contained by the two parts, together with the square of the aforesaid part. 9. If a straight line be divided into two equal parts, and also into two unequal...
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## The Thirteen Books of Euclid's Elements

Euclid
...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 problem of cutting...
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## The Dream of the West, Pt II, Parte2

Brian Lasater - 2008 - 600 páginas
...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 it so that AB x...
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## Examination,Midsummer,1879

Education Department - 1879
...together greater than the triangle ABD. 12. To find a mean proportional between two given straight lines. If a straight line be divided into any two parts, the rectangle contained by the two parts is greatest, when the parts are equal. i:j. Show that a regular hexagon ABCDEF inscribed...
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## Parliamentary Papers, Volumen19

...perpendicular let fall upon it from the opposite angle and the angle aforesaid. 7. If a straight lino be divided into any two parts the rectangle contained by the whole line and one of the parts together with the square of the other part is equal to the rectangle contained...
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