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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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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 - 1174 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 - 456 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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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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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...other parallelograms are equal besides the pair of complements ? Lesson No. 20 PROPOSITION 44. PROBLEM To a given straight line to apply a parallelogram,...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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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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Annual Report of the Commissioners ..., Volume 65

1899 - 972 pages
...accepted. Dr. MORAN, Head Inspector. Mr. PEDLOW, District Inspector. A. 1. To a given straight line apply a parallelogram which shall be equal to a given triangle, and have an angle equal to a given one. 2. Prove that the square on the difference of two lines is less than...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...(ii) If KB, KD are joined, the triangle AKB is equal to the triangle AKD. PROPOSITION 44. PROBLEM. To a given straight line to apply a parallelogram...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 - 1158 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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