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" To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. "
The First Six Books with Notes - Page 28
by Euclid - 1822 - 179 pages
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877
...equal to one another, and the diameter divides it into two equal parts. (9). 9. Show how to describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilinear angle, and prove your construction. (10). 10. In a right-angled...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...(ax. 3.) Therefore, the complements, &c. QED — I PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let AB be the given st. line, C the given A,...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...triangle LMN, and the base ST is three times as great as the base MN. QEF 2. To a given straight line to apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. To one of the sides of an equilateral triangle...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...KD (Ax. 3). Therefore, the complements, etc. QED Proposition XLIV. Problem. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its sides equal to a given rectilineal angle. Let AB be the given straight line, and C the given...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 36 pages
...are about the diameter of any parallelogram, are equal to one another. 44. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 45. Show how to describe a parallelogram equal...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879
...from the vertex to the point of section shall bisect the vertical angle. 8. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 9. In obtuse-angled triangles, if a perpendicular...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...towards the same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 6. In any right-angled triangle, the square which...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...triangle equal to a given triangle and having a base three times as great. 2. To a given straight line to apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. To one of the sides of an equilateral triangle...
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Papers for teachers

1880
...figure if the sum of its interior is double that of its exterior angles ? 3. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Is this a problem or theorem ? Why ? Algebra....
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880
...enunciations of Euc. I. 29, I. 41, and Axioms i and 12. General Enunciation. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Particular Enunciation. Given.— The straight...
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