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" IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. "
The first and second books of Euclid explained to beginners, by C.P. Mason - Page 152
by Euclid, Charles Peter Mason - 1872
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The Aberdeen University Calendar

University of Aberdeen - 1912 - 890 pages
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Annual Report of the Commissioners ..., Volume 48

1882 - 350 pages
...segments of one of them is equal to the rectangle contained by the segments of the other 8 marks. 7. If a straight line be divided into two equal, and...the squares on the two unequal parts are together double of the squares on half the line and the line between the points of section. Prove this proposition...
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Solutions of the Exercises in Tyler's Euclid

268 pages
....: 4 sq. on AC+2 sq. on DC=2 sq. on ^C + sqs on AD, DB; or 2 sqs on AC, DC = sqs on AD, DB. 153, 3. If a straight line be divided into two equal and also...unequal parts, the squares on the two unequal parts are equal to twice the rectangle contained by the two unequal parts together with four times the square...
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Examinations Papers

1875 - 380 pages
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 5. If a straight line be divided into two equal, and also into two unequal parts, the squares of the two unequal parts are together double of the square of half the line, and of the square of the...
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Calendar

University of Cambridge - 1855 - 682 pages
...lines are together equal to the squares of the hypothenuse and of the line drawn parallel to it. 3. If a straight line be divided into two equal, and also into two unequal parts, the squares of the unequal parts are together double of the square of half the line and of the square of the line...
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Parliamentary Papers, Volume 19

Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...angles ; and the three interior angles of every triangle are together equal to two right angles. 11. If a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the...
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The Glasgow University Calendar

University of Glasgow - 1904 - 840 pages
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Calendar

University of St. Andrews - 1904 - 790 pages
...point outside the straight line BAG such that'AB2+ PC2=AC° + PB2, PA will be at right angles to BC. 8. If a straight line be divided into two equal and also into two unequal parts, the sum of the squares on the two unequal parts is -equal to twice the sum of the squares on the part between...
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The Aberdeen University Calendar

University of Aberdeen - 1904 - 884 pages
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