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" To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 37
των Robert Simson - 1762 - 466 σελίδες
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 σελίδες
...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...

Examination Christmas,1875

Education Department,London - 1876 - 1010 σελίδες
...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...

Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 σελίδες
...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...

The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 σελίδες
...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 — )...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 382 σελίδες
...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...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...J.BC. 105. To a given straight line apply a triangle which shall be equal to a given parallelogram and have one of its angles equal to a given rectilineal angle. 106. .Transform a given rectilineal figure into a triangle whose vertex shall be in a given angle of...

Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877 - 562 σελίδες
...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...

Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 σελίδες
...itc. QED Proposition 44. — Problem. To a given straight line to apply a parallelogram, which slaill be equal to a given triangle, and have one of its angles tqual to a given rectilineal angle. Let AB be the given straight line, C the given triangle, and D...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 474 σελίδες
...parallelogram and a triangle, etc. QED Proposition XLII. 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...

Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 σελίδες
...also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall be equal to a given triangle, and 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 angle...




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