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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.
First lessons in Plane Geometry. Together with an application of them to the ... - Page 195
by Francis Joseph Grund - 1830 - 12 pages

Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...Also. 1 BCD + ^ BAD=s 2 right angles = i DBF + ^ DBE. .-. i DBE = ^ BCD. Proposition 33. — 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 C the...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1877 - 458 pages
...bisect the 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...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...

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...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1880 - 456 pages
...angles of a triangle all meet in the same point, viz., the centre of the inscribed circle. PROBI.EM 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...

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...

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 \ \...

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...

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...