| Euclides - 1842 - 320 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... | |
| Euclides - 1845 - 544 pages
...segment of the circle, (ax. 2.) Wherefore, if a straight line, &c. QED PROPOSITION XXXIII. PROBLEM. **Upon a given straight line to describe a segment of a circle, which shall contain** an angle equal to a given rectilineal angle. Let AB be the given straight line, and the angle at C... | |
| Euclid, James Thomson - Geometry - 1845 - 380 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 - 130 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 a 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... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 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 a 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... | |
| Anna Cabot Lowell - Geometry - 1846 - 216 pages
...accuracy of the first observation will be tested. 233. Upon a given straight line to describe a segment **which shall contain a given angle ; that is, a segment such that the** angle having its vertex in the arc, and its sides standing upon the extremities of the segment, shall... | |
| 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... | |
| John Playfair - Euclid's Elements - 1846 - 332 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... | |
| Basil Jackson - Military reconnaissance - 1847 - 412 pages
...depend, however, upon a single geometrical problem, namely, that by which we are enabled upon a given **line to describe a segment of a circle, which shall contain a given angle. That** this is necessary the following observations will show : — Two objects can only be seen under the... | |
| Euclides - 1848 - 52 pages
...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 segment of a circle, which shall contain** an angle equal to a given rectilineal angle. PROP. XXXIV. PROBLEM. From a given circle, to cut off... | |
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