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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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Calendar, for the Year ...

1896
...together 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
...rectangle 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...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
...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
...joined in 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
...- 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.) to double of the square on the other...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Libro 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 páginas
...its parallel sides. PROBLEMS. 37. Construct a rectangle equal to the difference of two squares. 38. 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 Department of Education for the Year ...

Manitoba. Department of Education - 1900
...contained by BA, AE is equal to the rectangle contained by CA, AD. 4. Define a rectangle. Divide a straight line 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. Prove that, when a straight...
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Examination Papers

University of Toronto - 1901
...parallelogram ADBE be completed so that E is on the side of AB remote from D, then CE is bisected by AB.\ 3. To divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the |>art8 may be equal to the square on the other part. (II. 11.)If ABC be any triangle,...
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Annual Report of the Commissioners ..., Volumen67

1901
...together with twice the square on the line drawn from the vertex to the middle point of the basj. 10. Divide a given straight line into two parts so that the rectangle contained by them may be equal to the square on a given straight line which is less than half the line to be divided....
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...Show that this includes some of Euclid's propositions, in Book II., as particular cases. 5. Show how to divide a given straight line into two parts, so that the square on one part may be equal to the rectangle contained by the whole line and the other part. 6....
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