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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 Books with Notes - Page 28
by Euclid - 1822 - 179 pages
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885
...of AC, BD, EF are collinear. AC, BD, EF of y 6:', PEOP. XLIV.— PKOBLEM. To a given right line (AB) to apply a parallelogram which shall be equal to a given triangle (C), and have one of its angles equal to a given angle (D). Sol. — Construct the parallelogram BEFG...
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The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 312 pages
...c/AC, BD, EF are collinear. \ / /' \ /.-- S ^7 \ PROP. XLIV.— PROBLEM. To a given right line (AB) to apply a parallelogram which shall be equal to a given triangle (C), and have one of its angles equal to a given angle (D). Sol. — Construct the parallelogram BEFG...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1886
...that AC is equal and parallel to DP. (14.) 10. Show how to describe a parallelogram, which shall Le equal to a given triangle, and have an angle equal to a given angle. A triangle ABC is equal to a rectangle DEFG; the side DE equals half the base BC : show that...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...diameter may be equivalent as well as the complements ? PROPOSITION 44. PROBLEM. 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 st. line, C the given A,...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890
...given the three linen drawn from the angles to bisect the sides opposite. 5. 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. G. If a straight line be divided into any two...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 400 pages
...But a ABPQ is double A PAB. . a ABPQ is also double A RAB. 44 Proposition 42. PROBLEM — To describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given angle. Let ABC be a given A ; and O a given A . Bisect BC in M ;...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to Euclid ...

James Blaikie, William Thomson - Geometry - 1891
...base and between the same parallels, the parallelogram shall be double the triangle. 42. To construct a parallelogram which shall be equal to a given triangle and have an angle equal to a given angle. 43. The complements of the parallelograms which are about a diagonal of a parallelogram are...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - Euclid's Elements - 1891 - 79 pages
...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 of its angles equal to a given rectilineal angle. 45. To describe a parallelogram equal to a given...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893
...triangle and have one of ite angles equal to a given rectilineal angle. 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. 4. In a right angled triangle what is the square...
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Proceedings of the Edinburgh Mathematical Society, Volumes 11-12

Edinburgh Mathematical Society - Mathematics - 1893
...30Ci+11G, The construction may be effected by 8Ri + 4R2+15Ci + 9C2 I. 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 angle. To describe a parallelogram equal to a given rectilineal...
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