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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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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...the parallelograms which are about the diameter of any parallelogram are equal to one another. 44. To a given straight line to apply a parallelogram...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 Andrew 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 - 508 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 giveĀ» rectilineal angle. For Admission as Pupil-Teacher of the Fourth Class. (One hour and a-half...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...equal to half the parallelogram. PROPOSITION 42. PROFILUM. To describe a parallelogram tlinf sludl be equal to a given triangle, and have one of its angles equal to n given nngl.e,. Let ABC be the given triangle, and D the given angle. It is required to describe a...
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Yale Examination Papers

Yale University - 1892 - 200 pages
...angles, the two straight lines shall be parallel to one another. 2. To describe a parallelogram that shall be equal to a given triangle, and have one of its augles equal to a given rectilineal angle. 3. If a straight line be divided into any two parts, the...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 806 pages
...shall be equal to a given triangle and have one of ite angles equal to a given rectilineal angle. 3. To a given straight line to apply a parallelogram...of its angles equal to a given rectilineal angle. 4. In a right angled triangle what is the square of the side opposite the right angle equal to 1 In...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 800 pages
...shall be equal to a given triangle and have one of its angles equal to a given rectilineal angle. 3. To a given straight line to apply a parallelogram...of its angles equal to a given rectilineal angle. 4. In a right angled triangle what is the square of the side opposite the right angls equal tot In...
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Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - Mathematics - 1893 - 352 pages
...the triangle. 10Ri + 6R2 + 30Ci+11G, The construction may be effected by 8Ri + 4R2+15Ci + 9C2 I. 44. To a given straight line to apply a parallelogram...triangle and have one of its angles equal to a given angle. To describe a parallelogram equal to a given rectilineal figure and having an angle equal to...
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Annual Report of the Chief Superintendent of Education

1894 - 832 pages
...shall be equal to a give,n triangle and have one of its angles equal to a given rectilineal angle. 3. To a given straight line to apply a parallelogram...of its angles equal to a given rectilineal angle. 4. In a right angled triangle what is the square of the side opposite the right angle equal to 1 In...
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