 | John Playfair - Mathematics - 1806 - 320 pages
...alternate segment of the 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... | |
 | Isaac Dalby - Mathematics - 1807 - 476 pages
...the circle in that point because it forms a right angle with the radius PC. 172. On a given line AB to describe a Segment of a circle that shall contain a given angle. LL 2 At the extremities A, B, of the given line, make each of the angles CAB, CBA equal to the difference... | |
 | Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...25.), 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 to describe a segment... | |
 | John Mason Good - 1813 - 714 pages
...circle, shall be equal to 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... | |
 | 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 to describe a segment... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...the alternate segment 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... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...the alternate segment 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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...the alternate segment of the circle. Wherefore, if a straight line, Ясс. a ED Proposition XXXIII. Problem. Upon a given straight line to describe a segment of a circle ооьFIVMKMs oK KI7CLID. т>\ *iimeal nngle ; it is required to ciesi'ribe upon the given straight... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 506 pages
...alternate segment of the circle. Wherefore, if a straight line, &c. QED PROP. XXXIII. PROB. a 10. 1. 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... | |
 | Sir John Leslie - Geometry, Analytic - 1828 - 228 pages
...11.), and consequently AG,VAK, touch the circle DGHK at the points G, K (III. 12.). PROP. XV. THEOR. 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 to describe a segment... | |
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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. Let AB be the given straight line, and... 
