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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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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
...parallel to the third side. Lesson No. 19 PROPOSITION 42. PROBLEM To describe a parallelogram that shatt be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle: 'it is required to describe a parallelogram...
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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
...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 which shall...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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Calendar of the University of Sydney

University of Sydney - 1900 - 646 pages
...logarithms to base 10 of 5, 6, 7, 8, 9. GEOMETRY. 1. Describe a parallelogram that shall be equal in area to a given triangle, and have one of its angles equal to a given angle. 2. The side AB of a triangle ABC is greater than the side AC ; shew that the median AX makes...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 580 pages
...equal to a given square. 8. To a given straight line to apply a parallelogram which shall be eqiial to a given triangle and have one of its angles equal to a given angle. 9. The square on a straight line is four times the square on half the line. PQE is a triangle...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...EFH, FHG, HGE ; show that the quadrilaterals are equal in every respect. 3. To a given straight line apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle. 4. Enunciate the two propositions represented by AB is bisected at C and produced to D ; AE, which...
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Report of the Committee of Council on Education in Scotland...[without Appendix]

Education - 1902 - 942 pages
...produced to E, show that BAE is equal to the angle of an equiangular polygon of twelve sides. 4. Descrilw a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given angle.' Describe a parallelogram which shall bo equal to a given triangle, "• and have one of its...
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