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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 book of Euclid's Elements, simplified, explained and illustrated ... - Page 99
by Euclides - 1847
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 pages
...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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The student's guide to the University of Durham, with information respecting ...

1880 - 160 pages
...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 pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1486 pages
...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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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 pages
...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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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...quarters. " 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,...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, Volume 4

Education, Higher - 1884 - 538 pages
...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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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...similar limitation necessary with respect to the three angles? 3. On a given straight line describe a parallelogram, which shall be equal to a given triangle,...of its angles equal to a given rectilineal angle. Describe a parallelogram, the area and perimeter of which shall be respectively equal to the area and...
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Guide to preliminary army examination

John Gibson - 1881 - 302 pages
...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 sides AC and BC equal....
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Elements of Geometry

Simon Newcomb - Geometry - 1881 - 418 pages
...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...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...which the two perpendiculars meet the semi-circle will be parallel to the diameter. SECTION III. 1. To a given straight line to apply a parallelogram,...of its angles equal to a given rectilineal angle. On the base of a given triangle to construct an oblong equal to one-fourth of the given triangle. 2....
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