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" Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. "
The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose - Page 119
by Euclides - 1853
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Annual Report of the Department of Public Instruction of the State of Indiana

Indiana. Department of Public Instruction - Education - 1915 - 658 pages
...equilateral triangle with side u is inscribed in a circle, find radius of the circle in terms of a. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. Trove. The sides of a right triangle arc as n :):.". The altitude upon (he hypotenuse...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...of contact (209). 255. PROPOSITION XXVI. PROBLEM Upon a given straight line as chord, to construct a segment of a circle which shall contain an angle equal to a given angle. Given line AB and ZM Rsquired to construct a segment of a circle on AB as chord which shall contain...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...circle. PLANE GEOMETRY PROPOSITION XXVI. PROBLEM 255. Upon a given straight line as chord, to construct a segment of a circle which shall contain an angle equal to a given angle. Given line AB and Z M. Roquired to construct a segment of a circle on AB as chord which shall contain...
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...of contact (209). PROPOSITION XXVI. PROBLEM 253. Upon a given straight line as chord, to construct a segment of a circle which shall contain an angle equal to a given angle. Given line AB and Z M. Required to construct a segment of a circle on AB as chord which shall contain...
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The NAEP ... Technical Report

Education - 1972 - 646 pages
...describe a circle (IV.5); (2) about the trapezium drawn as in problem 9, above, to describe a circle; (3) on a given straight line to describe a segment of a circle similar to a given one (cf. III. 33). Hippocrates would not have known the general theory of proportion...
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The Irish Law Times and Solicitors' Journal, Volume 37

Law - 1903 - 960 pages
...the diameter of a circle at its extremity touches the circle at that point. 8. On a given right line describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. Any other line through the same point cuts the circle. BIRTHS. MABBIAGES, AND DEATHS....
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Proceedings of the Edinburgh Mathematical Society, Volume 5

Edinburgh Mathematical Society - Electronic journals - 1887 - 162 pages
...AOG equal to the angle DFE ; and join AG. AG is the tangent required. 14-15. Euclid III. 25, 34. 16. On a given straight line to describe a segment of...which shall contain an angle equal to a given angle. Euclid III. 33. See figure 28. Let AB be the given straight line, C the given angle. With the given...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...equal angles are homologous sides, that is, are the antecedents or consequents of the ratios. 12. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. ^---i" EUCLID I. II. Examiner.— REV. SW WAYTE. 1. Define line, straight line,...
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Parliamentary Papers, Volume 40

Great Britain. Parliament. House of Commons - Great Britain - 1852 - 192 pages
...straight line. 2. To describe a square which shall be equal to a given rectilineal figure. 3. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. 289. D SECTION SECTION II. Solve one of the following equations: 2. x - 3*-5 = 12...
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Calendar

University of St. Andrews - 1901 - 712 pages
...subtends at the centre a greater angle than the less. 18. On a given finite straight line as chord describe a segment of a circle which shall contain an angle equal to a given angle. The triangle ABC has within it a point O such that the angles AOB, BOG, COA are all equal. Give a construction...
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