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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 of the other part. "
A companion to Euclid: being a help to the understanding and remembering of ... - Página 45
por Euclides - 1837 - 88 páginas
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 páginas
...Show that the locus of D is a circle. Produce AC to B so that CB=AC, and use Ex. 203. PROPOSITION 11. PROBLEM. To divide a given straight line into two...that the rectangle contained by the whole and one part shall be equal to the square on the other. Let AB be the given st. line ; it is required to divide...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1890
...equal to the squares 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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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 132 páginas
...employed, but the 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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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - 1890 - 393 páginas
...OBC, OCA are equal. 59. Construct a square that shall be one-third of a given square. 60. Divide a straight line into two parts so that the rectangle contained by the whole and one part may be equal to a given square. 61. Produce AB to C so that the rectangle of AB and AC may be...
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The Educational Record of the Province of Quebec: The Medium ..., Volumen11

1891
...whole and that 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 any two parts,...
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Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 406 páginas
...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...
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Annual Report of the Chief Superintendent of Education

1891
...sum of squares on one pair of 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 5. If a straight line be divided into any two parts, the squares on the whole line andón one of the...
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A Higher Algebra

George Albert Wentworth - 1891 - 521 páginas
...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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Examinations Papers

1891
...the squares on half the line bisected and on the line made up of the half and the part produced. 6. Divide a given straight line into two parts so that the rectangle contained bv the whole and one of the parts may be equal to the square on the other part. 7. If a diameter of...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 páginas
...parallel to BC meeting AB and AC in D and E. Prove that DE is equal to the sum of BD and CE. 4. Show how to divide a given straight line into two parts so that the square of one part may be equal to three times the square of the other part. 5. In the figure of Prop....
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