 | William Chauvenet - Astronomical instruments - 1864 - 726 pages
...in the duration of the transit at different places will be much greater, and the coefficient of AT in the final equations proportionally great. Although...their squares and higher powers may be neglected. LAORANGE'S method for this purpose is the most simple, and, in the improved form which I shall give... | |
 | William Chauvenet - 1864 - 720 pages
...in the duration of the transit at different places will be much greater, and the coefficient of AT: in the final equations proportionally great. Although...their squares and higher powers may be neglected. LAGRANQE'S method for this purpose is the most simple, and, in the improved form which I shall give... | |
 | Peter Guthrie Tait - 1865 - 394 pages
...<j>'. A still greater simplification will be obtained by taking in addition the condition that 0 and ff are so small, that their squares and higher powers may be neglected. With these our equations become m = -T0+ T'ff, m . = mg, e?V md?=~ m Itf = ' And x = x' = 2 = 0, Hence,... | |
 | Peter Guthrie Tait, William John Steele - Dynamics of a particle - 1871 - 462 pages
...<£'. A still greater simplification will be obtained by taking in addition the condition that 6 and ff are so small, that their squares and higher powers may be neglected. With these our equations become m — rr> ,ds -rr dt' And, to a sufficient approximation, x= ad, Hence,... | |
 | Thomas Wallace Wright - Geodesy - 1884 - 450 pages
...to X, Y, . . . and then substituting X' ', Y', . . . for X, Y, . . . If the corrections x, y, . . . are so small that their squares and higher powers may be neglected and they are written dX, dY', . . . and Ff(X', Y', . . .) is written dF, then "-£.*'+ &•"+•..... | |
 | Edwin Edser - Physics - 1913 - 656 pages
...= 3*, and .r = 8/3. In the following investigations it will be assumed that all strains dealt with are so small that their squares and higher powers may be neglected in comparison with the strains themselves. Compressive stress. — A cube of matter can be compressed... | |
| |
... the solar parallax.* The transits of Venus will afford a far more accurate determination of this parallax than those of Mercury; for, on account of its greater proximity to the earth, the difference in the duration of the transit at different places... 