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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. "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Seite 50
von Euclides - 1838
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Papers for teachers

1880
...sides has a figure if the sum of its interior is double that of its exterior angles ? 3. To a given straight line to apply a parallelogram, which shall...of its angles equal to a given rectilineal angle. Is this a problem or theorem ? Why ? Algebra. — I. Simplify 9 (31 — a) (32: + a) - 7 (ix? + a)'...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...by the whole and that part, together with the square on the other part. 6. To a given straight line apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle. 7. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880
...towards the same parts, are also themselves equal and parallel. 5. What is a parallelogram ? Describe a parallelogram which shall be equal to a given triangle,...have one of its angles equal to a given rectilineal triangle. 6. In any right-angled triangle, the square which is described on the side subtending the...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 Seiten
...complement HKFD. Wherefore, The 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 student's guide to the University of Durham, with information respecting ...

1880 - 144 Seiten
...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. HOMER, OD. I.—...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 Seiten
...Wherefore, if a parallelogram &c. QBD PROPOSITION 42. PROBLEM. To describe a parallelogram that thall 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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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880
...enunciations of Euc. I. 38, I. 41, and Axiom 6. General Enunciation. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given angle. Particular Enunciation. Given. — The triangle ABC, and the angle D. Required. — To describe...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...parallelograms, which are about 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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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 Seiten
...EUCLID. 1. To draw a straight line through a given point parallel to a given straight line. 2. To a given straight line to apply a parallelogram, which shall...of its angles equal to a given rectilineal angle. 3. Divide a right-angled triangle into two isosceles triangles. ALGEBRA. 1. Find the continued product...
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The Cambridge Examiner, Band 4

1884
...greater 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...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 perimeters. , ....
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