| Sir John Leslie - Geometry, Plane - 1809 - 493 pages
...23.), and consequently AG, AK touch the circle DGHK at the points G, K (III. 26.) PROP. XXXI. PROB. **On a given straight line, to describe a segment of a circle,** that shall contain an angle equal to a given angle. Let AB be a straight line, on which it is required... | |
| Sir John Leslie - Geometry - 1817 - 454 pages
...equal to CK, CA common, are equal (I. 21.), and consequently AG is equal to AK. PROP. XXIII. PROB. **On a given straight line, to describe a segment of a circle,** that shall contain an angle equal to a given angle. Let AB be a straight line, on which it is required... | |
| Euclid - 1826 - 236 pages
...respectively 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.... | |
| Euclides - 1826 - 226 pages
...respectively 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.... | |
| John Playfair - Geometry - 1829 - 186 pages
...angle B4C is equal to the angle 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... | |
| Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...touching the circles on opposite sides. The demonstration is the same as the last. PROBLEM XVI. Upon **a given straight line to describe a segment of a circle, which shall contain** a given angle ; that is, a segment, such that the inscribed angles, having their vertices in the arc... | |
| 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... | |
| Francis Joseph Grund - Geometry, Plane - 1834 - 190 pages
...touching the circles on opposite sides. The demonstration is the same as the last. PROBLEM XVII. Upon **a given straight line to describe a segment of a circle, which shall contain** a given angle ; that is, a segment, such that the inscribed angles, having their vertices in the arc... | |
| Euclides - 1834 - 518 pages
...of the circle. Wherefore, if a straight line, &c. QBD /> PROPOSITION XXXIII. See N. PROR. — Upon **a given straight line to describe a segment of a circle, which shall contain** aa angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C... | |
| 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... | |
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