| Robert Mudie - Mathematics - 1836 - 524 pages
...greater, and greater in the case of less. 11. We are now prepared to solve the following problem : Upon a given straight line, to describe a segment of a circle, which shall contain an angle equal to a given angle. This problem is often of much service, to those who are handy with a pair of... | |
| Robert Mudie - Mathematics - 1836 - 542 pages
...greater, and greater in the case of less. 11. We are now prepared to solve the following problem : Upon a given straight line, to describe a segment of a circle, which shall contain an angle equal to a given angle. This problem is often of much service, to those who are handy with a pair of... | |
| Euclides - Geometry - 1841 - 378 pages
...proved equal to • 2 Ax. BAD: therefore the remaining angle DBE is equal * to PROP. XXXIII. PROB. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and C the given rectilineal... | |
| Church schools - 1844 - 456 pages
...and likewise those which are terminated in the other extremity equal. 2. Upon a given straight lino, to describe a segment of a circle which shall contain an angle equal to a given angle. 3. If two straight lines cut one another in a circle, the angle between them... | |
| Euclides - 1845 - 546 pages
...segment of the circle, (ax. 2.) Wherefore, if a straight line, &c. QED PROPOSITION XXXIII. PROBLEM. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C the given... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...DBE -J rem - ^BCD, in the I ( III • /_ ±J f-fl-J — \ 1, T\/~»T* PROP. LXI. PROB. 33. SEU. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. Let AB be a given str. line, C the given /.; it is required to... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...rt. /. s, in the ' ~\ altern. seg. DCB. Wherefore if a str. line, &c. PROP. LXL PROB. 33. 3Eu. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. Let AB be a given str. line, C the given /_ ; it is required to... | |
| Euclides - 1848 - 52 pages
...equal to the angles which are in the alternate segments of the circle. PROP. XXXIII. PROBLEM. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. PROP. XXXIV. PROBLEM. From a given circle, to cut off a segment... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...a triangle, all meet in the same point, viz., the center of the inscribed circle. FROBLEM XVI. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. AC perpendicular to AD. Bisect AB in E, and from E draw EC perpendicular to AB. From... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...the other, the part intercepted between the two circumferences may be equal to a given line. 23. Upon a given straight line to describe a segment of a circle, which shall be similar to a given segment of another circle. 24. To divide a given circular arch into two parts,... | |
| |