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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. "
A complete set of male pupil teachers' examination questions in Euclid [book ... - Side 19
av W J. Dickinson - 1879 - 36 sider
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...construction only, necessary in each of the following problems: — (a) 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. (6) To describe a square that shall...
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Mathematical Papers for Admission Into the Royal Military College for the ...

Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 sider
...whole and one of the parts may be equal to the square on the other part. Divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the rectangle contained by the other part and another given straight line....
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A Higher Algebra

George Albert Wentworth - 1891 - 521 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...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 sider
...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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The Educational Record of the Province of Quebec: The Medium ..., Volum 11

1891
...part together with the square on the other part. Prove this proposition. 8. Divide a 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. 9. If a straight line be divided into...
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Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 sider
...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...
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Exercises in Stewart's Plane and Solid Geometry: With Solutions for Teachers

Seth Thayer Stewart - 1893 - 225 sider
...draw .L to diameter. Segments of diameter are sides of required CD. (P. x.) i9. 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. I. Erect a...
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Euclid's Elements of Geometry, Bøker 1-6

Henry Martyn Taylor - 1893 - 504 sider
...square on BD and three times the square on AD. 156 PROPOSITION 11. 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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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893
...opposite sides is equal to the sum of squares on the other pair. 4. (a) 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 part, (b) Show that when a line is divided as in...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894
...square yards ; find the dimensions of the room. (25.) B. 27. Show how to 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. Given a line AB, show how to produce...
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