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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. "
An Easy Introduction to the Mathematics: In which the Theory and Practice ... - Page 287
by Charles Butler - 1814
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Proceedings of the Edinburgh Mathematical Society

Edinburgh Mathematical Society - Mathematics - 1893 - 352 pages
...AD describe a circle to cut the previous one at F. Join AF. I. 42. To describe a parallelogram that shall be equal to a given triangle and have one of its angles equal to a given angle. Euclid constructs his parallelogram on the half of one of the sides of the triangle. 10Ri +...
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Annual Report of the Chief Superintendent of Education

1894 - 832 pages
...the equal sides is equal to unity find the length of the hypotenuse. 2. Describe a parallelogram that 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 which shall be equal to a given triangle, and...
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Annual Report

1894 - 1192 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
...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 and have one 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
...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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Report of the Council of Public Instruction of the North-West Territories of ...

Northwest Territories Council of Public Instruction - 1897 - 628 pages
...of the triangle thus formed with the original one. 6. (a) 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. I. 42. (b) If the angle be 90 what kind of parallelogram would be described ? (c) Describe...
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Sessional Papers, Volume 32, Issue 10

Canada - 1899 - 1072 pages
...1. How to bisect a given rectilineal angle, give demonstration. 2. To 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 the bisectrix of two angles of a triangle are equal show that the triangle is isosceles. 4. The...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...complements ? Lesson No. 20 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 straight line, and C the given triangle, and D the given rectilineal angle : it...
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A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...the triangle AKD. 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 angle. Let AB be the given straight line, C the given triangle, and D the given angle. It is required...
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Examination Papers

University of Toronto - 1900 - 1160 pages
...EUCLID. [AC McKAY, BA Examiners :-! A. ODELL. [W. PBENDERGAST, BA 1. Describe a parallelogram that shall be equal to a given triangle and have one of its angles equal to a given angle. (Euclid, Book I, Prop. 42.) 2. Prove that the square described on the hypotenuse of a right...
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