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" AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part. "
First Steps in Geometry: A Series of Hints for the Solution of Geometrical ... - Page 136
by Richard Anthony Proctor - 1887 - 180 pages
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...Ex., p. 129.] PROPOSITION 7. THEOREM. If a straight line is divided into any two parts, tlie sum of the squares on the whole line and on one of the parts is equal to twice the rectangle contained by the whole and that part, together with the square on the...
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Sessional Papers, Volume 26, Issue 8

Canada - 1893 - 1092 pages
...triangles are as AC to D E. 1. To find a mean proportional between two given straight lines. 8. Divide u given straight line into two parts so that the squares...whole line and on one of the parts may be together double of the square on the other part. 9. To cut off from a given line (AB) a part, whose square shall...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...the square on UK are equal to the 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...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 806 pages
...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 the whole and one part shall be equal to the square on the other part, (b) Show...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 800 pages
...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 the whole and one part shall be equal to the square on the other part, (b) Show...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
...the four walls "would be 116 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....
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...the square on BE are eqnal to the 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...
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The Manitoba School Question

Frederick Coate Wade - Catholic Church Education Manitoba - 1895 - 168 pages
...square on half the line. Construct a rectangle equal to the difference between two given squares. 5. 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....
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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - Examinations - 1899 - 348 pages
...altogether. No student can he passed who fails to obtain marks in any one section. A. 21. Show how 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 of the other part. Show how...
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Calendar, for the Year ...

1900 - 166 pages
...- 1) shew that the series is a GP Sum to ten terms the series -i._,.— + , 2 2* 2* 2* 6. Shew how to divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal (i.) to the square, (ii.)...
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