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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. "
Pure mathematics - Page 128
by Edward Atkins - 1874
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Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...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,...angles equal to D. CONSTRUCTION. — Bisect BC in E (T. 10), and join AE. At the point E, in the straight line . .„ CE, make the angle CEF equal to I)...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 pages
...have one of its sides 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 to apply to the straight line AB a parallelogram equal to the triangle C, and having an angle equal to...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...and have one of its angle* equal to a given rectilineal angle. Let AB be the given straight line ; C the given triangle ; and D the given rectilineal angle. It is required to apply to the straight line AB a parallelogram = the triangle C, and containing ai: angle = the angle...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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 to apply to the straight line AB a parallelogram equal to the triangle C, and having an angle equal to...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...the trapezold. PROP. XLII. PROBLEM. To describe a parallelogram equal to a given triangle, and having one of its angles equal to a given rectilineal angle....angle. It is required to describe a parallelogram equal to the given triangle ABC, and having one of its angles equal to D. Bisect BC in E (I. 10), and...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...PROPOSITION XLII., PROBLEM 11. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let ABC be the given A, and D the given Z. : it is required to describe a ||gr"m equal to A ABC, and having one of its Z....
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volume 3

Moffatt and Paige - 1883 - 514 pages
...Problem. To describe a parallelogram equal to a given rectilineal figure, andhaving an angle equal to a given rectilineal angle. It is required to describe a parallelogram that shall be equal to the figure ABCD, and have an angle equal to E. 1-t M Join D B. Describe the parallelogram FH equal to the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...Wherefore, the complements &c. QBD PROPOSITION 44. PROBLEM. Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle : it is required to apply to the straight line AB a parallelogram equal to the triangle C, and having an angle equal to...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...double of EBC. XLII. — To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle....given triangle, and D the given rectilineal angle. Bisect BC in E, join AE, and at the point E in the straight line EC make the angle CEF equal to D;...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...— PROBLEM. To describe a parallelogram that shall be equal to a given triangle and have an angle equal to a given rectilineal angle. Let ABC be the...and D the given rectilineal angle. It is required to descr,be a parallelogram that shall be equal to ABC, and have an angle equal to D. Bisect BC in E (I....
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