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" 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. "
Elements of Euclid [selections from book 1-6] adapted to modern methods in ... - Page 89
by Euclides - 1874
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The School World, Volume 3

Education - 1901 - 548 pages
...a given circleHow many such triangles can be drawn as a rule? When is the problem impossible? (10) Divide a straight line into two parts so that the rectangle contained by the two parts may be equal to a given square. Algebra. (Pass Paper) (1) (i.) Simplify 2(a-3┐)- [2a-3J4e+(2┐...
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Annual Report of the Commissioners ..., Volume 68

1902 - 482 pages
...parallelogram, equal to a given, rectilineal figureand having an angle equal to a given angle. 2. Divide a given straight line into two parts, so that the rectangle contained by the whole and onę of the parts may bo equal to the square of the other part.- •- --- Appendix. Section HI.,...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 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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Calendar, for the Year ...

1904 - 226 pages
...possible order : how many of the numbers so formed will be greater than 23,000? 7. (a) Divide a given straight line into two parts, so that the rectangle...line and one of the parts may be equal to the square on the other part. (6) If an angle of a triangle be bisected by a straight line which cuts the base,...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 484 pages
...7. = 2AQ . QB + 4PB2 n. 4, Cor. 2. 150 EUCLID-S ELEMENTS. PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. Let AB be the given straight line. It is...
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Science Examinations ... Reports, Etc

1906 - 502 pages
...there were a good many 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...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 construct a line JC, such...
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Report of the Commissioner of Education Made to the Secretary of ..., Volume 1

United States. Bureau of Education - Education - 1907 - 722 pages
...on the two parts, together with twice the rectangle contained by (lie two parts. 8. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. The following is a list of the names...
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Mathematical Papers for Admission Into the Royal Military Academy and the ...

Royal Military Academy, Woolwich - Mathematics - 1909 - 444 pages
...given base, and having a given area, that which has the least perimeter it isosceles. 3. Divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part. If the line be divided so that nine times...
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Annual Report of the Department of Education of the Province of ..., Volume 5

Alberta. Department of Education - Education - 1911 - 226 pages
...straight lines is equal to the difference of the squares on the two straight lines. 9 8. To divide a given straight line into two parts so that the rectangle contained by the whole line and one part may be equal to the square on the other part. 11 — II. Values. 8 10. If any two points be taken...
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1911 - 614 pages
...another the angle subtended by the first is greater than that subtended by the second. 5. Divide a line into two parts so that the rectangle contained by the whole line and one part shall be equal to the square of the other part. 6. Prove that the rectangle contained by the segments...
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