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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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Calendar

University of Cambridge - 1863 - 664 pages
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Calendar

University of Cambridge - 1859 - 312 pages
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Sessional Papers, Volume 22, Issue 12

Canada - 1889 - 924 pages
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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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The Melbourne University Calendar

University of Melbourne - 1868 - 460 pages
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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 - 1118 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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The Elements of Geometry: Or, The First Six Books, with the Eleventh and ...

Euclid - Euclid's Elements - 1859 - 254 pages
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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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