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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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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 - 800 pages
...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 which shall...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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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 806 pages
...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 which shall...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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Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - Mathematics - 1893 - 352 pages
...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 which shall...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
...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 which shall...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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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
...of the angles F, G, H, K, L is two right angles. (14.) 10. Show how to describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given angle. ABCD is a parallelogram, and the side BCis produced to E, so that CE may equal BC; if AE is...
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Annual Report

1894 - 1136 pages
...to two right tingles, the two straight lines shall be parallel. 12. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to а given angle. 13. Show without producing the side of a triangle that the sura of its three interior...
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Treatise on Conic Sections

Apollonius (of Perga.) - Conic sections - 1896 - 444 pages
...properties aa presented by him. The problem in Euclid i. 44 is " to apply to a given straight line a parallelogram which shall be equal to a given triangle...of its angles equal to a given rectilineal angle." The solution of this clearly gives the means of adding together or subtracting any triangles, parallelograms,...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...— (i.) (a + b)* = (a + b)a + (a + b)b. (ii.) (a + b) a = o1 + ab. 20 4. To a given straight line apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to n given angle. 20 5. If a straight line is divided into any two parts, the sum of the squares on the...
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