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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... "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 161
by Euclides - 1858
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...and each of the parts. (Draw a figure.) Ex. 1O92. If a straight line is divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. (Draw a...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...the figure and the leading points of Euclid-s proof. PROPOSITION 8. THEOREM. If a straight line is divided into any two parts, four times the rectangle...line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and the...
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Science Examinations ... Reports, Etc

1906 - 502 pages
...answers to Q.'s 24, 2f,, 26. Q. 21. Show how to divide a given straight lino into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. If A, B, C be three given straight lines, show how to...
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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...with the square of the other part is equal to the rectangle contained by the whole line and the latter part together with the square of the former part....
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1919 - 180 pages
...Morning, 9 to 12. Attempt ten questions only. 1. Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 2. Angles in the same segment of a circle are equal....
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Elementary Geometry Plane (Classic Reprint)

James McMahon - 2018 - 244 pages
...and each of the parts. (Draw a figure.) Ex. 1O92. If a straight line is divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. (Draw a...
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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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The Calendar of Owens college, Manchester

Manchester univ - 1877 - 544 pages
...line will be greatest when the parts are equal. 7. To divide a straight line into two parts such that the rectangle contained by the whole line, and one of the parts may be equal to the square on the other part. If AB bo the straight line, ABCD the square on it, H...
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