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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 Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Side 36
av Robert Simson - 1804
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...parallelogram and a triangle, etc. QED Proposition XLII. Problem. To describe a parallelogram that shall be equal to a given triangle, and have one of its...and D the given rectilineal angle. It is required to describe a parallelogram that shall be equal to the given triangle ABC, and have one of its angles...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...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 the right angle...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...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 be drawn from either of the acute angles to the opposite...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 sider
...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 having an angle equal...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...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 one of its angles...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...shall be between the same parallels. PROPOSITION XLII. PROBLEM. To describe a parallelogram that shall be 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 £_ . It is required to describe a / — 7 = the given...
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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,...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 sider
...E ; prove that ABCD is a parallelogram. PROP. XLII. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its...and D the given rectilineal angle. It is required to describe a parallelogram=the triangle ABC, and having one of its angles=the angle D. AFG CONSTRUCTION....
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...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 angle: it is required...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...of the parallelogram. Propositions XLH-XLVHI. (inclusive). 42.To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Same proposition. If in the figure the triangle be equilateral, and the given angle two-thirds of a...
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