| Euclides - 1845 - 546 pages
...to the locus may be put under the form, 4 xy tan il, - (a2— V*) sec2 ifi. 89. Join AB, and upon it **describe a segment of a circle which shall contain an angle equal to** the given angle. If the circle cut the given line, there will be two points ; if it only touch the... | |
| Euclides, James Thomson - Geometry - 1845 - 382 pages
...is an angle in the remote segment ACB. If, therefore, a straight line, &c.* PROP. XXXIII. PROR. — **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... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...= 2 rt. /. s, in the ' ~\ altern. seg. DCB. Wherefore if a str. line, &c. PROP. LXL PROB. 33. 3Eu. **Upon a given straight line to describe a segment of...circle, which shall contain an angle equal to a given** rectilineal angle. Let AB be a given str. line, C the given /_ ; it is required to descr. on AB, a... | |
| Great Britain. Admiralty - Geometry - 1846 - 128 pages
...rent / DBE -J rem - ^BCD, in the I ( III • /_ ±J f-fl-J — \ 1, T\/~»T* PROP. LXI. PROB. 33. SEU. **Upon a given straight line to describe a segment of...circle, which shall contain an angle equal to a given** rectilineal angle. Let AB be a given str. line, C the given /.; it is required to descr. on AB, a seg.... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...angle DBE is equal to the angle BCD in the alternate segment of the circle. 82 PROP. XXXIII. PROS. **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... | |
| Euclides - 1846 - 292 pages
...DCB in the alternate segment of the circle. Wherefore, If a straight line %c. QED 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 C the... | |
| Euclid, Robert Potts - Euclid's Elements - 1847 - 118 pages
...to the locus may be put under the form, 4a;y tan <t> = (ai— 62) sec2 <p. 89. Join AB, and upon it **describe a segment of a circle which shall contain an angle equal to** the given angle. If the circle cut the given line, there will be two points ; if it only touch the... | |
| Euclides - 1848 - 52 pages
...circle, shall be equal to the angles which are in the alternate segments of the circle. PROP. XXXIII. **PROBLEM. Upon a given straight line to describe a...circle, which shall contain an angle equal to a given** rectilineal angle. PROP. XXXIV. PROBLEM. From a given circle, to cut off a segment which shall contain... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...angles of a triangle, all meet in the same point, viz., the center of the inscribed circle. FROBLEM XVI. **Upon a given straight line, to describe a segment of a circle which shall contain** a given angle. AC perpendicular to AD. Bisect AB in E, and from E draw EC perpendicular to AB. From... | |
| Euclid, Thomas Tate - 1849 - 120 pages
...in the alternate segment of the circle. Wherefore, if a straight line, &c. QED 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... | |
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