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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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The student's guide to the University of Durham, with information respecting ...

1880 - 144 sider
...Triangles on the same base and between the same parallels are equal. 7. Describe a parallelogram that shall be equal to a given triangle and have one of its angles equal to a given rectilineal angle. FIRST YEAE EXAMINATION IN AETS. For Students not Candidates for Honours. • . I....
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 sider
...complements of the parallelograms, &c. QED PROP. XLIV. PROBLEM. To a given straight line to apply a parallelogram which shall be equal to a given triangle, and have one of its angle* equal to a given rectilineal angle. Let AB be the given straight line ; C the given triangle...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...the diameter of any parallelogram, are equal to one another. 44.To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one oi its angles equal to a given rectilineal angle. 45.Show how to describe a parallelogram equal to...
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The Cambridge Examiner, Volum 4

1884
...than the angle contained by the sides equal to them, of the other. 5. 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. 6. Divide the area of a circle into three equal parts, which shall also have equal...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 sider
...sum of its interior is double that of its exterior angles 1 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. 1. Simplify 9 (3x - a) (3x + a)...
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Guide to preliminary army examination

John Gibson - 1881
...shall be parallel. This is the twenty -seventh proposition. IV. Describe a parallelogram which shall bo equal to a given triangle and have one of its angles equal to a given rectilineal angle. This is the forty-second proposition. V. ABC is an isosceles triangle, having the...
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Elements of Geometry

Simon Newcomb - 1881 - 399 sider
...to the original polygon. PKOULBM II. 318. To describe a parallelogram which shall' be equal in area to a given triangle, and have one of its angles equal to a given angle. Given. A triangle, ABC; an angle, X. Required. To construct a parallelogram having one of its angles...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...parallelogram, equat to a given triangle, and having one of its angles eyual Co a given rectilineal angle. Let AB be the given straight line, C the given triangle, and I) the given rectilineal angle, it is required to apply to (that is, to describe upon) the straight...
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Class lessons on Euclid

Marianne Nops - 1882
...Wherefore the complements, &c. — QED PROPOSITION XLTV., PROBLEM 12. 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 A, and D the given £_' it is required...
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The Cambridge Examiner, Volum 2

1882
...direct demonstration, indirect demonstration. Give examples of each. 2. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 3. If two exterior angles of a triangle be bisected, and from the point of intersection...
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