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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. "
The Works of John Playfair ...: With a Memoir of the Author ... - Page 309
by John Playfair - 1822
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Mechanism of the Heavens

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...
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On the Connexion of the Physical Sciences

Mary Somerville - 1834 - 484 pages
...the first satellite, 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...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...
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The Connection of the Physical Sciences

Mary Somerville - 1834 - 390 pages
...the first satellite, 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...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...
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A Popular Grammar of the Elements of Astronomy: Adapted to the Use of ...

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...
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Recreations in mathematics and natural philosophy, recomposed by m. Montucla ...

Jacques Ozanam - 1840 - 850 pages
...motioti of the third, ia rigorously equal to thrice the mean motion of the second satellite. Stcond. The mean longitude of the first satellite minus three...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...
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On the Connection of the Physical Sciences

Mary Somerville - 1846 - 496 pages
...the first satellite, 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...
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The solar system [by T. Dick].

Thomas Dick - 1799 - 392 pages
...are performed 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,...
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On the Connexion of the Physical Sciences

Mary Somerville - 1849 - 568 pages
...the first satellite, plus 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...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...
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The Elements of Astronomy: Or, The World as it Is, and as it Appears

Anna Cabot Lowell - 1850 - 378 pages
...the first satellite, 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...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...
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Manual of astronomy

John Drew - 1853 - 386 pages
...which latter is about half that of the revolution of the third. Again, the mean longitude of the first, minus three times that of the second, plus twice that of the third, is always equal to 180° : hence it results, that when the first satellite is eclipsed, the other two...
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