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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. "
Euclid's Elements [book 1-6] with corrections, by J.R. Young - Page 50
by Euclides - 1838
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The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...greater than the angle contained by the sides equal to them, of the other. 5. To a given straight line apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle. 6. Divide the area of a circle into three equal parts, which shall also have equal perimeters. , ....
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The Cambridge Examiner, Volume 1

Education, Higher - 1881 - 504 pages
...similar limitation necessary with respect to the three angles? 3. On a given straight line describe a parallelogram, which shall be equal to a given triangle,...of its angles equal to a given rectilineal angle. Describe a parallelogram, the area and perimeter of which shall be respectively equal to the area and...
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Guide to preliminary army examination

John Gibson - 1881 - 302 pages
...shall be parallel. This is the twenty -seventh proposition. IV. Describe a parallelogram which shall bo equal to a given triangle and have one of its angles equal to a given rectilineal angle. This is the forty-second proposition. V. ABC is an isosceles triangle, having the sides AC and BC equal....
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...straight line to apply a parallelogram, equat to a given triangle, and having one of its angles eyual Co a given rectilineal angle. Let AB be the given straight line, C the given triangle, and I) the given rectilineal angle, it is required to apply to (that is, to describe upon) the straight...
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Elements of Geometry

Simon Newcomb - Geometry - 1881 - 418 pages
...to the original polygon. PKOULBM II. 318. To describe a parallelogram which shall' be equal in area to a given triangle, and have one of its angles equal to a given angle. Given. A triangle, ABC; an angle, X. Required. To construct a parallelogram having one of its...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...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 which shall...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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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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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...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 one of its angles...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 302 pages
...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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