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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 and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Side 40
av Euclid, James Thomson - 1837 - 390 sider
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...proportionals, compound ratio, triplicate ratio. Explain the terms — alternando, ex aequali. 8. Describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 9. Divide a given straight line into two parts, so that the rectangle contained...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...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 apply an equal parallelogram having...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 sider
...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 to a given rectilineal figure, and...
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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 is described on the side subtending...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

Euclides, James Hamblin Smith - 1879 - 349 sider
...together half of the parallelogram. PROPOSITION XLII. PROBLEM. To describe a parallelogram that shall le equal to a given triangle, and have one of its angles equal to a given angle. Let ABC be the given A , and D the given L . It is required to describe a EH equal to A ABC, having one...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...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 triangle,...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...3. Wherefore, the complementt &c. QED PROPOSITION 44. 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 straight line, and C the given triangle, and D the given rectilineal...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...the semi-circle will be parallel to the diameter. SECTION III. 1. 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. On the base of a given triangle to construct an oblong equal to one-fourth of the...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880
...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 line AB, the triangle C, and the...
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Papers for teachers

1880
...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. — I. Simplify 9 (31 — a) (32:...
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