 | John Playfair - 1806 - 320 σελίδες
...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... | |
 | John Mason Good - 1813 - 714 σελίδες
...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... | |
 | John Playfair - 1819 - 350 σελίδες
...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 - 1821 - 514 σελίδες
...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 - 1825 - 1046 σελίδες
...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... | |
 | John Playfair - 1829 - 210 σελίδες
...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 σελίδες
...tangent, 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... | |
 | John Martin Frederick Wright - 1831 - 282 σελίδες
...integrals of x*dm, y-dm, and xydm for the whole spheroid being given. TRINITY COLLEGE, MAY 1830. 1. UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle. 3x~ — 2xy — if1 2. Reduce the fraction... | |
 | Francis Joseph Grund - 1834 - 212 σελίδες
...tangent, 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 σελίδες
...segment 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... | |
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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. 
