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" To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. "
The first six books of the Elements of Euclid, with numerous exercises - Seite 29
von Euclides - 1853 - 147 Seiten
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1892
...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 give» 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 - 1892 - 518 Seiten
...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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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - 1893
...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 have one 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 - 1893
...equal sides is equal to unity find the length of the hypotenuse. 2. Describe a parallelogram that 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 which shall be equal to a given triangle, and...
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Proceedings of the Edinburgh Mathematical Society, Bände 11-12

Edinburgh Mathematical Society - 1893
...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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Euclid's Elements of Geometry, Bücher 1-6

Henry Martyn Taylor - 1893 - 504 Seiten
...To describe on a given finite straight line an arc of a circle containing an angle equal to a given angle. Let AB be the given straight line, and C the given angle : it is required to describe on AB an arc of a circle containing an angle equal to the angle...
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Annual Report of the Chief Superintendent of Education

1894
...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
...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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Euclid's Elements of Geometry, Bücher 1-6;Bücher 11

Henry Martyn Taylor - 1895 - 657 Seiten
...To describe on a given finite straight line an arc of a circle containing an angle equal to a given angle. Let AB be the given straight line, and C the given angle : it is required to describe on AB an arc of a circle containing an angle equal to the angle...
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Treatise on Conic Sections

Apollonius (of Perga.) - 1896 - 254 Seiten
...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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