| Bewick Bridge - Mathematics - 1814 - 630 pages
...pairs of forces which should always act at some given angle to each other, then upon AB(Euc. 33. 3.) describe a segment of a circle which shall contain an angle equal to the given ^ angle, and the number of pairs of forces into which the given force can be resolved will be limited to the... | |
| Bewick Bridge - Mathematics - 1814 - 622 pages
...pairs of forces which should always act at some given angle to each other, then upon AB (Euc. 33. 3.) describe a segment of a circle which shall contain an angle equal to the given 2 If angle, and the number of pairs of forces into which the given force can be resolved will be limited... | |
| Euclid - 1826 - 234 pages
...equal to the three angles of the triangle. PROPOSITION XXXIII. PROBLEM. Upon a given right line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. Let A в be a given right line, and ca given rectilineal angle. It is required... | |
| Euclides - 1826 - 226 pages
...equal to the three angles of the triangle. PROPOSITION XXXIII. PROBLEM. Upon a given right line to describe a segment of a circle which shall contain an angle equal to a given rectilineal angle. Let A'B be a given right line, and ca given rectilineal angle. It is required... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...angle at C the given rectilineal angle ; it is required to describe upon the given straight line AB a segment of a circle, which shall contain an angle equal to the angle C. First, let the angle at C be a right angle : bisect * AB in F, and from the * 10- 1centre... | |
| John Playfair - Geometry - 1829 - 210 pages
...ADC in the alternate segment ADC. ED. B « PROPOSITION XXXIII. PROBLEM. On a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle ; that is, to describe a segment such that all the angles described in it... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...ingenuity, in problems of contact. PBOP. 60. Prob. 7. (Eue. iii. 33.) Upon a given straight line AB to describe a segment of a circle which shall contain an angle equal to a given angle ABC. Let AQ В be the segment required, and P its centre. Then, because the angle А... | |
| Euclides - 1834 - 518 pages
...angle at C the given rectilineal angle ; it is required to describe upon the given straight line AB, a segment of a circle, which shall contain an angle equal to the angle C. First, let the angle at C be a right angle ; • 10. 1. bisect * AB in F, and from the centre... | |
| Mathematics - 1835 - 684 pages
...ingenuity, in problems of contact. PROP. 60. Prob. 7. (Eue. iii. 33.) Upon a given straight line AB to describe a segment of a circle which shall contain an angle equal to a given angle ABC. Let AQ В be the segment required, and P its centre. Then, because the angle А... | |
| Robert Mudie - Mathematics - 1836 - 524 pages
...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 compasses,... | |
| |