 | John Playfair - Mathematics - 1806 - 320 pages
...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... | |
 | Sir John Leslie - Geometry, Plane - 1809 - 522 pages
...angle equal to a given angle. Let AB be a straight line, on which it is required to describe a segment containing an angle equal to C. If C be a right angle,...if the angle C be either acute or obtuse : Draw AD making an angle BAD equal to C (I.4.), erect AE perpendicular to AD (I. 38.), draw EF to bisect AB... | |
 | John Mason Good - 1813 - 734 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... | |
 | John Playfair - Circle-squaring - 1819 - 348 pages
...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... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...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... | |
 | 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 an angle equal to a given angle. Let AB be the given straight line, and the angle at C the given rectilineal angle ;... | |
 | Andrew Bell, Robert Simson - Euclid's Elements - 1837 - 290 pages
...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... | |
 | 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 an angle equal to a given angle. Let AB be the given straight line, and C the given angle; it is required to describe... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...DBE = ZS BAD + BCD, 7- that Z DBE = Z BCD. PROPOSITION XXXIII. Problem. Upon a given straight line to describe a segment of a circle containing an angle equal to a given -^ * K rectilineal angle. The proof of case 1st, in which Z c is a right Z , is merely the... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...the circle. Wherefore, if a straight 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... | |
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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. 
