 | Sir John Leslie - 1809 - 522 pagina’s
...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 - 1817 - 456 pagina’s
...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... | |
 | John Playfair - 1829 - 210 pagina’s
...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... | |
 | Francis Joseph Grund - 1830 - 274 pagina’s
...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 of the segment... | |
 | Francis Joseph Grund - 1834 - 202 pagina’s
...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 of the segment... | |
 | Euclides - 1834 - 518 pagina’s
...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... | |
 | Robert Mudie - 1836 - 542 pagina’s
...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... | |
 | Robert Mudie - 1836 - 524 pagina’s
...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... | |
 | Basil Jackson - 1841 - 426 pagina’s
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 | Euclides - 1841 - 378 pagina’s
...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... | |
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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. 
