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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 Books with Notes - Page 28
by Euclid - 1822 - 179 pages
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...the triangle MBN 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 its angles equal to a given angle. Jl Let A3 be the given st. line, C the given A, D the given...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...(Ax. 3). Wherefore, the complements, &c. QED PKOPOSITION 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. HAL Let AB be the given straight line, and C...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874
...parallelogram EH is equiangular to the parallelogram BD. 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, and C the...
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Pure mathematics, Volume 1

Edward Atkins - 1874
...(An. 3). KD' 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. It is required to apply to the straight line...
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Recent military, naval, and civil service examination papers in mathematics ...

Braithwaite Arnett - 1874
...the same base, and between the same parallels, are equal to one another. 4. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 5. Define a rhombus, and show that its opposite...
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Annual Report of the Commissioners ..., Volume 40

1874
...and of the square on the line made up of the half and the part produced. 2. To a given straight line apply a parallelogram which shall be equal to a given triangle, and hare one of its angles equal to a given rectilineal angle. 3. Given the area of a circle equal to 5...
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Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876
...diagonal of any parallelogram are 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...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876
...straight line through a given point parallel to a given straight line. 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. Divide a right-angled triangle into two isosceles...
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Examination Christmas,1875

Education Department,London - 1876
...Triangles upon the same base 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...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 pages
...(Ax. 3). 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...
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