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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. "
An Easy Introduction to the Mathematics: In which the Theory and Practice ... - Page 287
by Charles Butler - 1814
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Annual Report of the Association of Ontario Land Surveyors, Volume 17

Association of Ontario Land Surveyors - Surveying - 1909 - 254 pages
...10. Expand in a series of ascending powers of x. 1-x- x* GEOMETRY. 1. Describe a parallelogram that shall be equal to a given triangle and have one of its angles equal to a "iveh rectilineal angle. 2. From one extremity of the base of an isosceles triangle a perpendicular...
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1913 - 568 pages
...triangle equiangular to a given triangle. 7. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given angle. 8. State when two triangles are said to be similar. If two triangles have one angle in each...
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The Irish Law Times and Solicitors' Journal, Volume 38

Law - 1904 - 852 pages
...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...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volumes 15-16

1870 - 964 pages
...lines, but any two whatever of these must be greater than the third. 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 a straight line be bisected, and produced to any point ; the rectangle contained by the whole...
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...of section shall bisect the vertical angle. 8. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 9. In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...base, and between the same parallels, are equal to one another. 9. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 10. In any right-angled triangle, the square which is described upon the side subtending the right...
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Journal, Volume 13

Industrial arts - 1865 - 542 pages
...ha* the greater angle shall be greater than the base of the other. 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. If astraight line be bisected and produced toany point, the rectangle contained by the whole line...
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Parliamentary Papers, Volume 19

Great Britain. Parliament. House of Commons - Bills, Legislative - 1861 - 588 pages
...examination. A.— PURE MATHEMATICS. No. 1. 1. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 2. A segment of a circle being given, describe the circle of which it is the segment. 3. Give Euclid's...
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Apollonius of Perga Treatise on Conic Sections

438 pages
...presented by 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 togetlier or subtracting any triangles, parallelograms,...
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Journal of the Statistical Society of London, Volume 8

Royal Statistical Society (Great Britain) - Great Britain - 1845 - 786 pages
...India, and of Europe. GEOMETRY. — Senior. 1. To a given straight line apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 2. If a straight line be divided into any two parts, the square on the whole is equal to the sum of...
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