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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 - Σελίδα 29
των Euclides - 1853 - 147 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 σελίδες
...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...

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...

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...

Proceedings of the Edinburgh Mathematical Society, Τόμοι 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 +...

Euclid's Elements of Geometry, Βιβλία 1-6

Henry Martyn Taylor - 1893 - 504 σελίδες
...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...

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...

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...

Euclid's Elements of Geometry, Βιβλία 1-6;Βιβλίο 11

Henry Martyn Taylor - 1895 - 657 σελίδες
...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...

Treatise on Conic Sections

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