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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 Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Side 40
av Euclid, James Thomson - 1837 - 390 sider
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Manual

1903
..... X — yo /o •*-/ - y • 2 2a? y — 1 * + y -.- 4 3 2 7 ' ' 3. Describe a parallelogram that shall be equal to a given triangle,. and have one of its angles equal to a given rectilineal angle. 4. Two quadrilaterals, A BCD, EFGH, are such that AB is equal and parallel to EF,...
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Interim Report of the Commissioners on Certain Parts of Primary Education ...

New South Wales. Commission on primary, secondary, technical, and other branches of education - 1903 - 619 sider
...which shall be equal to a given triangle, and have one of its angles equal to a given angle. Describe a parallelogram which shall be equal to a given triangle, and have one of its sides equal to naif the base of the triangle, and another side equal to a given straight line. Explain...
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The Elements of Plane Geometry

Association for the Improvement of Geometrical Teaching - 1903
...finding the centre. PROB. 3. X)na given straight line to describe a segment of a circle containing a given angle. Let AB be the given straight line, C the given angle : it is required to describe on AB a segment of a circle containing an angle equal to C. o*Make...
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 456 sider
...the triangles AXB, BYC are equal in area. PROPOSITION 42. PROBLEM. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given angle. BEC Let ABC be the given triangle, and D the given angle. It is required to describe a parallelogram...
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Annual Report of the Commissioners ..., Volum 71

1905
...angles upon the same side together equal to two right angles. 4. 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. 5. The straight lines which join the extremities of two equal and parallel straight...
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School Science and Mathematics, Volum 20

1920
...avoiding thus any discussion of incommensurable magnitudes. The demonstration as given by Euclid1 follows: "Let AB be the given straight line, C the given triangle and D the given rectilineal angle; thus it is required to apply to the 'Quotations which follow are from Heath. The...
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Annual Report of the Commissioners ..., Volum 73

1907
...Senior Inspector. Mr. J. CHAMBERS, District Inspector. SECTION A. 1. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of ita angles equal to a given angle. 2. Two straight lines are parallel to one another, (L) it a straight...
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Introduction and books 1,2

Euclid - 1908
...given straight line to apply, in a given rectilineal angle, a parallelogram equal to a given triangle. Let AB be the given straight line, C the given triangle and D the given rectilineal angle ; 5 thus it is required to apply to the given straight line AB, in an angle equal...
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The Irish Law Times and Solicitors' Journal, Volum 38

1904
...themselves equal and parallel. 3. To a given right line apply a parallelogram which sluill l>e equal to ii given triangle and have- one of its angles equal to a given angle. 4. Prove that the, sum of the squares on any two lines is equal to twice the square on half the sum...
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