 | Charles Hutton - Mathematics - 1811 - 424 pages
...thereto, and take half their sum ; from which subtract the natural number answerIng to twice the log. cotangent of the middle angle of elevation : then...from the log. of the measured distance between the 1st and 2d, or the 2d and 3d stations, will be the log. of the height of the object. PROBLEM V. In... | |
 | Charles Hutton - Mathematics - 1812 - 624 pages
...thereto, and take half their sum ; from which subtract the natural number answering to twice the log. cotangent of the middle angle of elevation : then...from the log. of the measured distance between the 1st and 2d. or the 3d and 3d stations, will be the log. of the height of the object. PROBLEM v. In... | |
 | Olinthus Gregory - Plane trigonometry - 1816 - 278 pages
...thereto, and take half their sum; from which subtract the natural number answering to twice the log. cotangent of the middle angle of elevation : then...from the log. of the measured distance between the 1st and 2d, or the 2d and 3d stations, will be the log. of the height of the object.* To illustrate... | |
 | Charles Hutton - Arithmetic - 1818 - 652 pages
...thereto, and tuk • half their sum ; from which subtract the natural number answering to twice the log cotangent of the middle angle of elevation : then half the log of ihis remainder subtracted from the log. of the measured distance between the 1st and ád, or the "d... | |
 | Charles Hutton - Mathematics - 1822 - 680 pages
...thereto, and take half their sum 5 from which subtract the natural number answering to twice the log. cotangent of the middle angle of elevation : then...from the log. of the measured distance between the 1st and 2d, or the £ds and 3d stations, will be the log. of the height of the object. PROBLEM V. In... | |
 | William Galbraith - Astronomy - 1827 - 412 pages
...half their sum ; from which subtract the natural number answering to twice the logarithm contangent of the middle angle of elevation : then half the log....AB=60 feet, BC 72 feet; angle FCE=50° 23', the angle FBE=40a 33', and the angle FAE=30° 48'; required the distances AE, BE, CE, and EF, the height of the... | |
 | Olinthus Gregory - Mathematics - 1834 - 484 pages
...thereto, and take half their sum ; from which subtract the natural number answering to twice the log. cotangent of the middle angle of elevation: then half...of this remainder subtracted from the log. of the measure distanced between the first and second, or the second and third stations, will be the log.... | |
 | Olinthus Gilbert Gregory - 1848 - 572 pages
...that case, be thus expressed. to twice the log cotangent of the middle angle of elevation : then lialf the log of this remainder subtracted from the log...between the first and second, or the second and third stations, will be the log of the height of the object. The distance from cither station will be found... | |
 | Olinthus Gregory - 1863 - 482 pages
...thereto, and take half their sum ; from which subtract the natural number answering to twice the log. cotangent of the middle angle of elevation : then...of this remainder subtracted from the log. of the measure distanced between the first and second, or the second and third stations, will be the log.... | |
| |
... logarithmic computation. The rule may, in that case, be thus expressed. Double the log. cotangents of the angles of elevation of the extreme stations, find the natural numbers answering thereto, and take half their sum ; from which subtract the natural... 