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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, may be equal to the square of the other part. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 60
by Robert Simson - 1806 - 518 pages
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 504 pages
...chord, one of whose segments shall be four times as long as the other. When is this possible? 4. Divide a given straight line into two parts, so that the rectangle contained by the parts may be equal to a given rectangle. 5. A, B, C are three points on a circle, D is the middle point...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894
...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. Given a line AB, show how to produce it to a point P,...
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The Manitoba School Question

Frederick Coate Wade - Church and state - 1895 - 122 pages
...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. If one side of a triangle be bisected, the sum of the...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - 1895 - 657 pages
...chord, one of whose segments shall be four times as long as the other. When is this possible? 4. Divide a given straight line into two parts, so that the rectangle contained by the parts may be equal to a given rectangle. 5. A, B, C are three points on a circle, D is the middle point...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897
...the squares on the two parts, together with twice the rectangle contained by the parts. 5. 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. 6. In every triangle, the square on the side subtending...
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Calendar, for the Year ...

1896
...double the sum of the squares on half the line, and on the line between the points of section. Divide a given straight line into two parts, so that the rectangle contained by them may be equal to the square described on a given straight line, which is less than half the straight...
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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897
...contained by the two parts. II. 4. (6) Deduce II. 7. from propositions II. 4. and II. 3. 6. 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. II. 11. 7. (a) Prove that if two circles touch one another...
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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - Examinations - 1899
...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 to describe a right-angled triangle such...
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Calendar

University of Sydney - 1900
...order, a parallelogram will be formed whose area is half that of the given quadrilateral. 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. 4. In equal circles the arcs which subtend equal...
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Calendar, for the Year ...

1900
...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.) to double of the square on the other...
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