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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 - Page 50
by Euclides - 1838
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Annual Report

Canada. Department of the Interior - 1888 - 756 pages
...another, and likewise those which are terminated in the other extremity. 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. Divide a given straight line into two parts, so that the rectangle contained by the whole and one...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - Education - 1889 - 1006 pages
...given straight lines, any two of which are greater than the third. 3. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles, equal to a given angle. 4. Divide a given line into two parts, so that the rectangle contained by the whole and one...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 354 pages
...upon the opposite sides intersect in F. Show that FE is equal to EC. 3. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given angle. 4. If a straight line be divided into any two parts, the rectangle contained by the whole and...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...triangle, having 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...of its angles equal to a given rectilineal angle. G. If a straight line be divided into any two parts, the square on the whole line is equal to the squares...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...parallels and the other of concurrent lines. PROPOSITION 42. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of...its angles equal to a given rectilineal angle. Let ABC be the given A and D the given rectilineal angle; it is required to describe a ||gm that shall...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 442 pages
...Whence, by reason of the two former lines, we get a AP = a CP: 46 Proposition 44. PROBLEM — To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have an angle equal to a given angle. DC Let AB be the given line ; P given A ; and O given A . FA Construct...
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - Euclid's Elements - 1891 - 102 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...of its angles equal to a given rectilineal angle. 45. To describe a parallelogram equal to a given rectilineal figure, and Laving an angle equal to a...
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Annual Report of the Chief Superintendent of Education

1891 - 718 pages
...given straight lines, any two of which are greater than the third. 3. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given angle. 4. Divide a given line into two parts, so that the rectangle contained by the whole and one...
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A Text-book of Geometrical Deductions

James Blaikie, William Thomson - Geometry - 1891 - 160 pages
...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...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 506 pages
...parallelogram shall be double of the triangle. G. To a given straight line to apply a parallelogram 25 which shall be equal to a given triangle, and have one of its angles equal to a giveĽ rectilineal angle. For Admission as Pupil-Teacher of the Fourth Class. (One hour and a-half...
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