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Upon a given straight line to describe a segment of a circle, which shall contain aa angle equal to a given rectilineal angle.
Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ... - Page 396
by Robert Mudie - 1836 - 496 pages

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

Edward Atkins - 1876 - 130 pages
...^ DBF. 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 - 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...

## Elementary geometrical drawing

Samuel H. Winter - 1878 - 132 pages
...circle with a radius of 1^ in., and then describe an equilateral and equiangular pentagon about it. 7. Describe a segment of a circle which shall contain an angle equal to one of the angles of an equilateral triangle. 9. Draw a straight line parallel and equal to any straight...

## Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...Show that the point of section lies between the extremities of the line. 3. Upon a given straight line describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. An acute-angled triangle is inscribed in a circle, and the paper is folded along...

## The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...and join AB, 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...

## Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...their centres being produced shall pass through the point of contact. 6. Upon a given straight line describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. If from any point without a circle lines be drawn touching it, the angle contained...

## 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...

## The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...their centres being produced will pass through that point of contact. 10. Upou a given straight line describe a segment of a circle which shall contain an angle equal to a rectilineal angle. 11. From a given point without two indefinite straight lines given in position which...

## 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^ /' /*\ \ / / \ \ /...

## 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 to describe on AB a segment...