| Sir John Leslie - Geometry, Plane - 1809 - 522 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... | |
| 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... | |
| Sir John Leslie - Geometry - 1817 - 456 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 - 234 pages
...be a given right line, and ca given rectilineal angle. It is required upon the given right line AB to describe a segment of a circle which shall contain an angle equal to the angle at c. At the right line AB, and at the given point A in it, make the angle BAD" equal to... | |
| Euclides - 1826 - 226 pages
...be a given right line, and ca given rectilineal angle. It is required upon the given right line AB to describe a segment of a circle which shall contain an angle equal to the angle at c. At the right line AB, and at the given point A in it, make the angle BAD* equal to... | |
| 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
...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...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 shall be... | |
| 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 В С is equal... | |
| 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... | |
| 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... | |
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