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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 Book of Euclid's Elements, Simplified, Explained, and Illustrated ... - Page 99
by Euclides - 1847
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...applied to AB, we have only to produce GB to meet LK in M. SUMMARY OF PROPOSITION XLIV., PROBLEM 12. To a given straight line to apply a parallelogram...triangle, and have one of its angles equal to a given angle. Corns.— Make I*™m BGFE equal to given triangle, and having _ EBG equal to given angle....
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 302 pages
...are equal. Construct a triangle equal 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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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...arebetween the same parallels. What is meant here by the word equal ? 6. On a given straight line describe a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given angle. Can all the angles of the parallelogram, be equal to this given angle ? 7. A straight line AH...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...direct demonstration, indirect demonstration. Give examples of each. 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. If two exterior angles of a triangle be bisected, and from the point of intersection of the bisecting...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...an acute angle, an obtuse angle, a boundary, a semicircle, a trapezium. 2. To a given straight line apply a parallelogram, which shall be equal to a given triangle and shall have one of its angles equal to a given rectilineal angle. 3. Inscribe a circle in a given triangle....
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...middle point of the diagonal of a parallelogram to meet the sides bisects the parallelogram. PROP. 44. PROB. To a given straight line to apply a parallelogram...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...
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The Practical Teacher, Volume 2

Education - 1883 - 658 pages
...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 have learnt the...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...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 have learnt the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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 to describe a parallelogram...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...equal to the complement HDFK. Axiom 3. Therefore, the complements Ac. Q ED PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram,...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 TO APPLY to AB a...
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