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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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...Therefore, the complements, &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, C the given triangle, and D the given angle....
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major
...sum of its interior is donble 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 a theorem ? Why ? Algebra.— I. Simplify 9 (3*— a) (3z +...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 sider
...parallelogram and a triangle, &c. QED PROPOSITION XLU. PROBLEM. To describe a parallelogram that skull he equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle. It is required...
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Elements of Geometry Containing Books I. to VI. and Portions of Books XI ...

James Hamblin Smith - 1876
...triangle MEN is equal to the triangle MDC. PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of it» angles equal to a given angle. D S Let AB be the given at. line, C the given A, Z> the given L...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 sider
...triangle MDC. PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram, which thall be equal to a given triangle, and have one of its angles to a given angle. A. £ Let AB be the given st. line, C the given A, D the given L . It is required...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877
...equal to one another, and the diameter divides it into two equal parts. (9). 9. Show how to describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilinear angle, and prove your construction. (10). 10. In a right-angled triangle, show that the...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1877 - 443 sider
...Cor.) from the given point A. • PROBI.EM iv. At a given point in a straight line, to make an angle equal to a given angle. Let AB be the given straight line, A the given point in it, and C the given angle ; it is required to make an angle at the point A, in...
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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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879
...equal; the point 0 is in the diagonal AC. PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given triangle,...angles equal to a given angle. Let AB be the given st. line, C the given A, D the given / . It is required to apply to AB a Z37 = A C and having one of...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...Therefore, the complements, &c. QED — I 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 angles equal to a given rectilineal angle. Let AB be the given st. line, C the given A, and D the given Z. . It is required...
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