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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. "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Seite 50
von Euclides - 1838
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877
...Therefore, if a parallelogram, <ic. QED Proposition 42. — Problem. To describe a parallelogram that shall be equal to a given triangle, and have one of its anrjles equal to a giceu rectilineal angle. Let ABC be the given triangle, and D the given rectilineal...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879
...equal to the 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...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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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 Seiten
...parallelograms, which are about the diameter of any parallelogram, are equal to one another. 44. To a given straight line to apply a parallelogram, which shall...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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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 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...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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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,...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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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...remaining complement 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 triangle,...
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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - 1879 - 349 Seiten
...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, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...Therefore, the i — 7 KFLM has been described as required. QEF Cor. From this it is manifest how to a given straight line to apply a parallelogram which shall be equal to a given rectilineal figure, and shall have an angle equal to a given rectilineal angle; namely by applying...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 Seiten
...Proposition 24. Problem.— Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C the given rectilineal angle; it is required to describe upon AB a segment of a circle...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...QEF Proposition XXIII. Problem. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle. Let AB be the given straight line, A the given point in it, and DCE the given rectilineal angle. It is required, at the point A in the...
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