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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. "
An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in ... - Page 144
by Francis Joseph Grund - 1834 - 190 pages
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...angles of a triangle all meet in the same point, viz., the centre of the inscribed circle. PROBLEM XVI. 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, upon which it is required to describe a segment of a circle containing...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...BC. Because in the triangles ADB, CDB, AD, DB and the angle ADB of one, Proposition 24. Problem.— Upon 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 the...
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An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...each 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 (5). Draw BC perpendicular...
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Elements of Plane Geometry

Franklin Ibach - Geometry - 1882 - 208 pages
...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^ /' /*\ \ / / \ \ / / \ \ / / F \ \...
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The Eclectic School Geometry

Evan Wilhelm Evans - Geometry - 1884 - 242 pages
...describe a circle about a given triangle. 23. To describe a circle about a given rectangle. 24. On a given line, to describe a segment of a circle which shall contain a given angle. The given line is LS, and the given angle is V. Construct the angle SLD equal to V. Erect a perpendicular...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...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...
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Constructive geometry of plane curves

Thomas Henry Eagles - 1885 - 404 pages
...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 or more circles...
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Constructive Geometry of Plane Curves: With Numerous Examples

Thomas Henry Eagles - Conic sections - 1885 - 401 pages
...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 or more circles...
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Proceedings of the Edinburgh Mathematical Society, Volumes 5-6

Edinburgh Mathematical Society - Mathematics - 1887 - 316 pages
...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 a circle which shall contain an angle' equal to a given angle. Euclid III. 33. See figure 28. Let AB be the given straight line,...
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A Text-book of Geometry

George Albert Wentworth - Geometry - 1888 - 272 pages
...sides produced. These three circles are called escribed circles. PROPOSITION XXXVIII. PROBLEM. 290. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. E Let AB be the given line, and M the given angle. To describe a segment upon AB which shall contain...
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