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 Βιβλία Βιβλία
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 - Σελίδα 62
των Euclid - 1781 - 520 σελίδες
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University of Cambridge - 1853
...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...

Report of the examination held (Dec. 1859)-73

...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...

Examination,Midsummer,1879

Education Department - 1879
...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...

The Thirteen Books of Euclid's Elements

Euclid
...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, Τόμος 30

...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...