 | John Playfair - Geometry - 1829 - 210 pages
...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... | |
 | Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...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 of the segment... | |
 | Francis Joseph Grund - Geometry, Plane - 1834 - 212 pages
...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 of the segment... | |
 | Euclides - 1834 - 518 pages
...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... | |
 | Robert Mudie - Mathematics - 1836 - 524 pages
...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... | |
 | Robert Mudie - Mathematics - 1836 - 542 pages
...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... | |
 | Euclides - Geometry - 1841 - 378 pages
...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... | |
 | Euclides - 1845 - 546 pages
...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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...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... | |
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Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. 
