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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. "
A course of geometrical drawing - Page 3
by William Schofield Binns - 1861
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...right angles (III. 25); therefore AB and AD are tangents to the given circle. PROBLEM XV. BO. Upon a given straight line to describe a segment of a circle which shall contain a given angle. Let AB be the given straight line. At B make the angle ABD equal to the given angle...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 394 pages
...other, and their sides about the equal angles reciprocally proportional, are equal to one another. 11. On a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Given the base of a triangle, the angle opposite...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...the alternate segment of the circle. Wherefore, if a straight line &c. QED PROPOSITION 33. PROBLEM, On a. given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal Let AB be the given straight line, and C the given...
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Elements of Plane Geometry

Franklin Ibach - Geometry - 1882 - 208 pages
...centre and OF as a radius, describe a circle. Then FED is the required O. (181) QEF PROBLEM XVIII. 23.6. On a given straight line, to describe a segment of a circle which shall contain a given angle. Let AB be the given line, and a the given Z. . _E '"" /Л"""4ч^ /' /*\ \ / / \ \ /...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...are not diameters, that which is nearer to the centre is greater than that which is more remote. 6. On a given straight line to describe a segment of a circle that shall contain an angle equal to a given rectilineal angle. On the sides AO, AB of a triangle ABO,...
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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
...the alternate segment of the circle. "Wherefore, if a straight line &c. QED PROPOSITION S3. PROBLEM. On a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and C the...
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Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 pages
...PROB. 8. About a given circle to circumscribe a triangle equiangular to a given triangle. PROB. 9. On a given straight line to describe a segment of a circle containing a given angle. PROB. 10. From a given circle to cut off a segment containing a given angle....
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...this proposition is a particular case either of III. 21, or of III. 22, Cor. PROPOSITION 33. PROBLEM. On a given straight line to describe a segment of a circle which shall contain an angle equal to a given angle. Let AB be the given straight line, LC the given angle : it is required to describe...
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Constructive Geometry of Plane Curves: With Numerous Examples

Thomas Henry Eagles - Conic sections - 1885 - 401 pages
...straight lines 37 29. To describe a circle to touch a given circle, to touch a given line PROBLEM PAGE 30. On a given straight line to describe a segment of a circle which shall contain a given angle 40 31. To draw a line touching two given circles ..... 41 Properties of a system of two...
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Constructive geometry of plane curves

Thomas Henry Eagles - 1885 - 404 pages
...straight lines 37 \ To describe a circle to touch a given circle, to touch a given line PROBLEM PAGE 30. On a given straight line to describe a segment of a circle which shall contain a given angle 40 31. To draw a line touching two given circles ..... 41 Properties of a system of two...
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