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" If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 86
by Euclides - 1871
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Annual Report of the Commissioners ..., Volume 74

1908 - 650 pages
...line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 4: In an obtuse-angled triangle, the square on the greatest side exceeds...
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Elementary Algebra

Charles Godfrey - Algebra - 1918 - 574 pages
...inscribed in a circle of diameter 1 3 units ; find its sides. 27. Divide a line 1 foot long so that the rectangle contained by the whole line and one of the parts may be equal to twice the square on the other part. 28. Divide a line 10 inches long eo that the rectangle...
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Mathematics

David Eugene Smith - Mathematics - 1923 - 200 pages
...two lines or two numbers. He also seems to have been able to divide a line into two parts such that the rectangle contained by the whole line and one of the parts is equal to the square on the other part. Expressed algebraically, if a is the length of the line and...
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Parliamentary Papers, Volume 19

Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...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 by the whole line and the latter part together...
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Parliamentary Papers, Volume 16

Great Britain. Parliament. House of Commons - Great Britain - 1874 - 820 pages
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 4. If a straight line drawn through the centre of a circle bisect a straight...
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Journal, Volume 13

Industrial arts - 1865 - 564 pages
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the halt and the part produced. 5. Draw a straight line from a given point either without or iu the circumference,...
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...whole line thus produced, and the part produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 10. Draw a straight line from a given point, either without or in the circumference,...
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Examination,Midsummer,1879

Education Department - 1879 - 1136 pages
...line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. Construct a parallelogram equal to the difference of two given squares...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 18

1874 - 748 pages
...line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 4. If a straight line drawn through the centre of a circle bisect a straight...
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The Bombay University Calendar, Volume 2

University of Bombay - 1907 - 328 pages
...equal area, their sides are equal and conversely. 3. Divide a straight line into two parts such that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. Divide a given straight line into two parts such that...
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