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" 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 Educational Record of the Province of Quebec: The Medium Through which ... - Side 186
1891
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 sider
...method of proof must be geometrical. Great importance will be attached to accuracy I\ i. 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. If the straight line PQ is...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890 - 526 sider
...on the two parts, together with twice the rectangle contained by the two parts. 7. To divide a given straight line into two parts, so that the rectangle contained by the whola and one of the parts may be equal to the square on the other part. For Admission as Teacher of...
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Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 428 sider
...that the sum of their squares may equal a given square, and their rectangle, a given rectangle. 19. Divide a straight line into two parts, so that the...rectangle contained by the whole and one of the parts may equal the square of a line given less than the line to be divided. 20. Divide a given line into two...
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Annual Report of the Chief Superintendent of Education

1891 - 718 sider
...be equal to a given triangle, and have one of its angles equal to a given angle. 4. Divide a given 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. 5. Find a line the square on which shall be equal to...
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 sider
...line and of the square on the line made up of the half and the part produced. 11. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part shall be equal to the square on the other. 12. In obtuse-angled triangles, if a perpendicular...
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Examinations Papers

1891 - 718 sider
...contained by the whole line and that part together with the square on the other part. 6. 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. 7. Given a circle, find its centre....
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A Higher Algebra

George Albert Wentworth - 1891 - 550 sider
...area of which would be doubled by increasing its radius by 1 inch. 14. Divide a line 20 inches long into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part. 16. A can do some work in 9 hours less time than...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Bog 2

James Andrew Blaikie, William Thomson - 1892 - 74 sider
...squares on half the line bisected, and on the line made up of the half and the part produced. 11. To divide a straight line into two parts so that the rectangle contained by the whole line and one part shall be equal to the square on the other part. 12. In an obtuse-angled triangle,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 460 sider
...squares on half their sum and on half their difference. 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 required...
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A Text-book of Geometrical Deductions: Corresponding to Euclid, book ..., Bog 2

James Blaikie - 1892 - 74 sider
...CHAPTER II. PROBLEMS. § 39. Problems which follow directly from known propositions. 1. Divide a given straight line into two parts so that the rectangle contained by the parts shall be equal to a given square. This is a converse problem to Euc. II. 1 4, and the following...
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