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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; viz. the first six books, together with the eleventh ... - Side 52
av Euclides - 1814
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 800 sider
...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 this...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 804 sider
...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 this...
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Euclid's Elements of Geometry, Bøker 1-6

Henry Martyn Taylor - 1893 - 486 sider
...parallelograms ,fec. EXERCISE. PROPOSITION 30. To divide a given straight line in extreme and mean ratio. Let AB be the given straight line: it is required to divide it in extreme and mean ratio. CONSTRUCTION. Divide AB at the point C into two parts so that the rectangle...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 892 sider
...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 - 1895 - 168 sider
...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, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 706 sider
...parallelograms &c. EXERCISE. PROPOSITION 30. To divide a given straight line in extreme and mean ratio. Let AB be the given straight line: it is required to divide it in extreme and mean ratio. CONSTRUCTION. Divide AB at the point C into two parts so that the rectangle...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1897 - 446 sider
...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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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 sider
...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 - 1899 - 348 sider
...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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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Bok 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...equal to the square on the other part. K Let AB be the given straight line. It is required to divide AB into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. Construction. On AB describe the square ACDB. I....
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