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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. "
On the Connexion of the Physical Sciences - Page 29
by Mary Somerville - 1834 - 458 pages
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A Dictionary of Science, Literature, & Art: Comprising the ..., Volume 3

William Thomas Brande, George William Cox - 1867 - 1088 pages
...mean motion of the second. Another tqnally singular analogy is, that the mean longitude of the first, minus three times that of the second, plus twice that of the third, is always rery nearly equal to two right angles. These two results subsist equally in respect both of the sidereal...
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Descriptive Astronomy

George Frederick Chambers - 1867 - 888 pages
...third, is constantly equal to three times that of the second; and the sidereal longitude of the first, minus three times that of the second, plus twice that of the third, is always eqrtal to 1 80°. From this it follows that for a very long period of time the 3 interior satellites...
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The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumes 1-2

1874 - 426 pages
...first three satellites of Jupiter, and which consists in this, that the mean longitude of the first, minus three times that of the second, plus twice that...of the third is always equal to two right angles. The chance is very small that such a condition should happen at random. Under this hypothesis the comets...
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The Analyst, Volumes 1-2

1874 - 490 pages
...first three satellites of Jupiter, and which consists in this, that the mean longitude of the first, minus three times that of the second, plus twice that...of the third is always equal to two right angles. The chance is very small that such a condition should happen at random. Under this hypothesis the comets...
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Astronomical Register: A Medium of Communication for Amateur ..., Volume 22

1884 - 332 pages
...and likewise that the mean * See also Mrs. Somervillc's Mechanism of the Heavens, pp. 501 — 608. longitude of the first satellite minus three times...that of the second, plus twice that of the third, is exactly and constantly equal to two right angles. Laplace showed that it suffices to assume these proportions...
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Essays in Astronomy

1900 - 598 pages
...established this relation rigorously, and furthermore has made the mean longitude of the first satellite less three times that of the second plus twice that of the third equal to a semi-circumference. At the same time a periodic inequality has arisen which depended upon...
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The Library of Original Sources: Advance in knowledge, 1650-1800

Oliver Joseph Thatcher - 1907 - 482 pages
...these three bodies approached very near to the relation which renders the mean motion of the first, minus three times that of the second, plus twice that of the third, equal to nothing. Then their mutual attraction rendered this ratio rigorously exact, and it has moreover...
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The Methodist Quarterly Review, Volume 59

1877 - 776 pages
...extraordinary than the preceding, one which consists in this, that the mean longitude of the first, minus three times that of the second, plus twice that of the third, is constantly equal to two right angles. Laplace claims that these motions were brought within certain...
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Pierre-Simon Laplace Philosophical Essay on Probabilities: Translated from ...

Pierre-Simon Laplace - 1998 - 292 pages
...Jupiter's principal three satellites [32], according to which law the mean longitude of the first, minus three times that of the second, plus twice that of the third, is exactly equal to IT [33]. The close fit of the mean motions of these heavenly bodies, since their discovery,...
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The Forge of God

Greg Bear - 2001 - 484 pages
...planet, occulted. He tried to remember Laplace's law regarding the first three Galilean moons: The longitude of the first satellite, minus three times...second, plus twice that of the third, is always equal to half of the circumference ... He had memorized that in high school, but it did him a fat lot of good...
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