| John Playfair - Euclid's Elements - 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... | |
| John Mason Good - 1813 - 722 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... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 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 - 372 pages
...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 - Geometry - 1829 - 186 pages
...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 - Geometry, Plane - 1830 - 274 pages
...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...be equal to a given angle. SOLUTION. Let AB be the** given line, and x the given angle. 1. Extend AB towards C. 2. Transfer the angle x to the point A.... | |
| John Martin Frederick Wright - Astronomy - 1831
...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... | |
| Euclides - 1834 - 518 pages
...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... | |
| Robert Mudie - Mathematics - 1836 - 542 pages
...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... | |
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