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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 Association of Ontario Land Surveyors, Issue 22

Association of Ontario Land Surveyors - Surveying - 1907 - 218 pages
...will be equal to the perpendicular let fall from one of its angles upon the opposite side. 7. Upon a given straight line to describe a segment of a circle which shall contain an angle equal to a given rectilineal (acute) angle. 8. Prove that the opposite angles of a quadrilateral figure inBcribed in...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - 1908 - 286 pages
...To draw a common tangent to two circles. 185 THE CONSTRUCTION OF CIRCLES - - - - - - 188 PROBLEM 24. On a given straight line to describe a segment of...which shall contain an angle equal to a given angle. 190 COR. To cut off from a given cirole a segment containing a given angle, it is enough to draw a...
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Books 3-9

Euclid - Mathematics, Greek - 1908 - 456 pages
...drawing the common tangent at the point of contact and using this proposition, in. 32. PROPOSITION 33. On a given straight line to describe a segment of a circle admitting an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...of the circle. JUNE, 1908 1. The diagonals of a parallelogram bisect each other. 2. Show how, upon a given straight line, to describe a segment of a circle which shall contain an angle of given magnitude. 3. If C be the middle point of AB and CD be the line through C perpendicular to...
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Journal of Education

Education - 1911 - 1330 pages
...three segments exterior to the triangle is equal to four right angles. 5. On a given straight line describe a segment of a circle which shall contain an angle equal to a given angle. 6. The three circles which pass through two vertices of a triangle and ;' orthocentre are each equal...
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Annual Report of the Department of Education of the Province of ..., Volume 5

Alberta. Department of Education - Education - 1911 - 226 pages
...together with twice the square on the line joining the vertex to the middle point of the base. 8 7. On a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle. ITl— 33. 8 8. Construct a triangle having...
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Practical Geometry and Graphics

David Allan Low - Geometrical drawing - 1912 - 468 pages
...triangle ABD is the triangle required. * C/-i ' \ r ,' FIG. 48. OH a given line AB(Flgs. 42 and 43) to describe a segment of a circle which shall contain an angle equal to a given angle C. Draw AD, making the angle DAB equal to the angle C. Draw AO at right angles to AD. Bisect AB at...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 488 pages
...inscribed circle. 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. Required to construct a segment of a circle on AB as chord which shall contain...
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Practical Geometry and Graphics for Advanced Students

Joseph Harrison, George Albert Baxandall - Geometry, Descriptive - 1913 - 714 pages
...setting off from the centre an angle equal to 360 ' ~n. 47. PROBLEM. — On a given line AB, to construct a segment of a circle which shall contain an angle equal to a given angle a. Draw CD bisecting AB at right angles, and make the angle DCE equal to a. Draw AO parallel to CE....
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Schultze and Sevenoak's Plane Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...inscribed circle. 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. Required to construct a segment of a circle on AB as chord which shall contain...
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