| 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... | |
| Oxford univ, local exams - 1880 - 396 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... | |
| 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^ /' /*\ \ / / \ \ /... | |
| 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... | |
| 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,... | |
| 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.... | |
| 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... | |
| 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...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 of a circle which shall... | |
| Euclides - 1885 - 340 pages
...to the rectangle contained by their diameters. PEOP. XXXIII.— PROBLEM. On a given right line ( AB) to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle (X). Sol. — If X be a right angle, describe a semicircle on the given line, and... | |
| Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...to the rectangle contained by their diameters. PEOP. XXXIII.— PROBLEM. On a given right line (AB) to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle (X). Sol. — If X be a right angle, describe a semicircle on the given line, and... | |
| |