 | Mary Somerville - 1831 - 710 pages
...motion of the second is nearly equal to twice that of the third ; whence the mean motion of the first, minus three times that of the second, plus twice that of the tliird, is zero ; but the last ratio is so exact, that from the earliest observations it has always... | |
 | Mary Somerville - 1834 - 484 pages
...plus twice that of the third, is equal to three times that of the second ; and that the mean longitude of the first satellite, minus three times that of the second, plus twice that of the third, is always equal to two right angles. It is proved by theory, that if these relations had only been approximate... | |
 | Mary Somerville - 1834 - 390 pages
...plus twice that of the third, is equal to three times that of the second ; and that the mean longitude of the first satellite, minus three times that of the second, plus twice that of the third, is always equal to two right angles. It is proved by theory, that if these relations had only been appwximate... | |
 | Thomas Squire - 1836 - 332 pages
...constantly equal to three times the mean revolution of the second. And, the mean longitude of the Hrst, minus three times that of the second, plus twice that of the third, is always equal to two right angles. Hence, the first three satellites caunot be eclipsed at the same... | |
 | Jacques Ozanam - 1840 - 850 pages
...third, ia rigorously equal to thrice the mean motion of the second satellite. Stcond. The mean longitude of the first satellite minus three times that of the second, plus twice that of the third, is exactly eijual to a semi-circle or 180 degrees. By following out these laws, we find, 1st. When the... | |
 | Denison Olmsted - 1841 - 480 pages
...relation subsists between the mean motions of the three first satellites of Jupiter. The mean longitude of the first satellite, minus three times that of the second, plus twice that of the third, always equals 180 degrees. A curious consequence of this relation is, that the three satellites can... | |
 | Mary Somerville - 1846 - 496 pages
...plus twice that of the third, is equal to three times that of the second ; and that the mean longitude of the first satellite, minus three times that of the second, plus twice that of the thin], is always equal to two right angles. It is proved by theory, that if these relations had only... | |
 | Thomas Dick - 1799 - 392 pages
...exactly in the same number of days. It has been found by La Place that " the epoch (or mean longitude) of the first satellite, minus three times that of the second, plus two times that of the third, is exactly equal to a semicircle, or 180 degrees." From this it follows,... | |
 | François Arago - 1848 - 108 pages
...Jupiter, the Earth and the Sun, reader the existence of pha»e« to any otuervable extent impossible. times that of the second, plus twice that of the third, is always equal to two right angles. Herschel, on attentively examining these satellites through the telescope,... | |
 | Mary Somerville - 1849 - 568 pages
...twice tha"t of the third, is equal to three times that of the second ; and that the mean longitude of the first satellite, minus three times that of the second, plus twice that of the third, is always equal to two right angles. It is proved by theory, that if these relations had only been approximate... | |
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... that the mean longitude of the first satellite, minus three times that of the second, plus twice that of the third, is always equal to two right angles. 
