 | John Playfair - Mathematics - 1806 - 320 pages
...circle. Wherefore, if a straight line, &c. QED PROP. XXXIH. PROB. 10. 1. b 31. 3. UPON a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C the given rectilineal angle... | |
 | John Mason Good - 1813 - 714 pages
...angles which are in the alternate segments of the circle. Prop. XXX11I. Prob. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angleProp. XXXIv' Prub. Tocut off a segment from a given circle which shall contain an... | |
 | Sir John Leslie - Geometry - 1817 - 456 pages
...that shall contain an angle equal to a given angle. Let AB be a straight line, on which it is required to describe a segment of a circle containing an angle equal to C. If C be a right angle, it is evident that the problem will be performed, by describing a semicircle... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...of the circle. Wherefore, if a straiget line, &c. Q,. ED" PROP. XXXIII. PROB. Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C the given rectilineal angle... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
....AF=GB. (13.) To draw a straight line which shall touch a given circle, and make with a given line, an angle equal to a given angle. Let AB be the given line, and O the centre of the given circle. From any point A in the given line, draw AC making with it an angle... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...AF= GB. (13.) To draw a straight line which shall touch a given circle, and make with a given line, an angle equal to a given angle. Let AB be the given line, and O the centre of the given circle. From any point A in the given line, draw AC making with it an angle... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...of the circle. Wherefore, if a straight line, &c. QED B PROP. XXXIII. PROB. ' UPON a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle* Let AB be the given straight line, and the angle at C the given rectilineal angle;... | |
 | John Playfair - Geometry - 1836 - 148 pages
...rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXV. PROB. Upon a given straight line to describe a segment of a circle, containing...angle equal to a given angle. Let AB be the given straight line, and the angle at C the given rectilineal angle ; it is required to describe upon the... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...remote segment ACB. If, therefore, a straight line, &c.f PROP. XXXIII. PROB. UPON a given straight line to describe a segment of a circle, containing...angle equal to a given angle. Let AB be the given straight line, and C the given angle; it is required to describe on AB a segment of a circle, containing... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...angle BCD in the alternate segment of the circle. PROPOSITION XXXIU/ PROBLEM. - Upon a given straight line to describe a segment of a circle, containing an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C the given rectilineal angle... | |
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UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle. 
