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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 synoptical Euclid; being the first four books of Euclid's Elements of ... - Página 41
por Euclides - 1853
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 páginas
...triangle RST is 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...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...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 páginas
...the remaining complement KD (Ax. 3). Therefore, the complements, etc. QED Proposition XLIV. Problem. To a given straight line to apply a parallelogram,...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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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 páginas
...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...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...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 páginas
...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,...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...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 páginas
...ABCD. 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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Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - 1879 - 378 páginas
...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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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 páginas
...remainder, the complement KD. [Axiom 3. Wherefore, the complementt &c. QED PROPOSITION 44. PROBLEM. To a given straight line to apply a parallelogram,...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:...
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Papers for teachers

1880 - 594 páginas
...2. How many sides has a figure if the sum of its interior is double that of its exterior angles ? 3. To a given straight line to apply a parallelogram,...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: + a) - 7 (ix?...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 páginas
...are equal. Construct a triangle equal to a given triangle and having a base three times as great. 2. To a given straight line to apply a parallelogram...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...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 páginas
...by the whole and that part, together with the square on the other part. 6. To a given straight line apply a parallelogram, which shall be equal to a given...have one of its angles equal to a given rectilineal angle. 7. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to...
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