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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. "
An Easy Introduction to the Mathematics: In which the Theory and Practice ... - Page 287
by Charles Butler - 1814
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...&c. QED Proposition 44. — Problem. To a given straight line to apply a parallelogram, which thall be equal to a, given triangle, and have one of its angles equal to a given rectilineal angle. GEOMETRY. Make paralleloI.Tam BEFG = A < ', and / at li = i D, and EBAa straight line. HBandFE meet....
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...and between the fcame parallels are equal. 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. 3. If a straight line he divided into any two parts, the square on the whole line is equal to the squares...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 pages
...equal to one another. .. .. .. .. 141 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 16s 45. To describe a parallelogram equal to a given rectilineal figure, and having an angle equal...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...Therefore, if a parallelogram, &c. QED Proposition 42.— Problem. 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 triangle, and D the given rectilineal angle; It is required to describe a parallelogram...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 446 pages
...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 to describe a parallelogram...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...parallelogram, the other sides will also be parallel. • .. . i .. 3. To describe a parallelogram that shall be equal to a giVen triangle, and have one of its angles equal to a given rectillineal angle. Algebra.— 1 . Simplify (1 - a) + (a - 1 ) (6 *-B}, -(],— a) (6 + c — )...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 382 pages
...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 - 562 pages
...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, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...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 - 120 pages
...three 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 equal...
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