| Euclides, James Hamblin Smith - Geometry - 1876 - 382 pages
...PROPOSITION XXXIII. PROBLEM. On a given straight line to describe a segment of a circle capable of containing **an angle equal to a given angle. Let AB be the given** st. line, and C the given L . It is required to describe on AB a segment of a © which, shall contain... | |
| Elias Loomis - Geometry - 1877 - 458 pages
...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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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