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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 Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ... - Side 36
av Robert Simson - 1804
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1486 sider
...of the parallelogram. Propositions XLH-XLVHI. (inclusive). 42.To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Same proposition. If in the figure the triangle be equilateral, and the given angle two-thirds of a...
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The student's guide to the University of Durham, with information respecting ...

1880 - 160 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. HOMER, OD. I.—...
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Papers for teachers

1880 - 594 sider
...double that of its exterior angles ? 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 theorem ? Why ? Algebra. — I. Simplify 9 (31 — a) (32: + a) - 7 (ix? + a)'...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 sider
...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 triangle. 6. In any right-angled triangle, the square which is described on the side subtending the...
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First principles of Euclid: an introduction to the study of the first book ...

T S. Taylor - 1880 - 152 sider
...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 Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 sider
...the trapezold. PROP. XLII. PROBLEM. To describe a parallelogram equal to a given triangle, and having one of its angles equal to a given rectilineal angle....and D the given rectilineal angle. It is required to describe a parallelogram equal to the given triangle ABC, and having one of its angles equal to D....
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 sider
...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) - 7 (2x + a)2 + 3 (2x...
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Guide to preliminary army examination

John Gibson - 1881 - 302 sider
...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 - 1881 - 418 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...
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The Cambridge Examiner, Volum 2

1882 - 498 sider
...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 of the bisecting...
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