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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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The papers set at the professional preliminary examination

College of preceptors - 1882
...is formed by joining their extremities. 5. On a given straight line to describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 6. The squares described on the sides containing the right angle of a right-angled...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...having a base three times as great. 2. To a given straight line to apply a parallelogram which shall bo equal to a given triangle, and have one of its angles equal to a given rectilineal angle. To one of the sides of an equilateral triangle apply an equal parallelogram having...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...to a given triangle and having a base three times as great. 2. To a given straight line to apply a parallelogram which shall be equal to a given triangle, and have one oI its angles equal to a given rectilineal angle. Euclid. 6i To one of the sides of an equilateral...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 sider
...parallelogram to meet the sides bisects the parallelogram. PROP. 44. PROB. 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 angle. HD Given AA, L. B, and st. line CD. To apply to CD a parallelogram (ie, so that CD shall be one of...
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The Practical Teacher, Volum 2

1883
...the two triangles are equal in every respect, and AC = CD. QET-. 3. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. See Prop. 42, Bk. I. Algebra. MALES. (Pupil teachers are expected to show that they...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...parallelogram &c. QBD EUCLID'S ELEMENTS. 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 rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle : it is required...
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The Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883
...the two triangles are equal in every respect, and AC = CD. QEF 3. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. See Prop. 42, Bk. I. Algebra. MALES. (Pupil teachers are expected to show that they...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...the ||m« about a diagonal of any ||m equal in every respect ? On a given straight line to describe a parallelogram which shall be equal to a given triangle,...and have one of its angles equal to a given angle. FEK Let AB be the given straight line, C the given triangle, and D the given angle : it is required...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...Therefore, the complements Ac. Q ED PROPOSITION XLIV. PROBLEM. 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. GIVEN a straight line AB, a triangle C, and a rectilineal angle D ; IT is REQUIRED...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volum 1

Euclides - 1884
...equal to one another and the diameter divides it into two equal parts. (9) 9 . Show how to describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilinear angle, and prove your construction. (10) 10. In a right-angled triangle, show that the...
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