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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 Elements of Euclid; viz. the first six books, together with the eleventh ... - Strona 39
autor: Euclides - 1834
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The Dream of the West, Pt II, Część 2

Brian Lasater - 2008 - Liczba stron: 600
...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 - Liczba stron: 1118
...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, Tom 19

Great Britain. Parliament. House of Commons - 1861 - Liczba stron: 588
...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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