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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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The Solar System: with Moral and Religious Reflections in Reference to the ...

Thomas Dick - 1854 - 360 pages
...performed exactly in the same number of days. It has been found, by La Place, that "the epoch (ot.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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The Dictionary of Arts, Sciences and Manufactures ...: Embracing ..., Volume 1

James Smith (author of the Panorama of science and art.) - 1859 - 964 pages
...three times the mean motion of the second. And the mean sydereal or synodical longitude of the first, minus three times that of the second, plus twice that of the thin!,, is always equal to two right angles. When the satellites fall into the shadow of the primary,...
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The American Journal of Science and Arts

1860 - 982 pages
...more extraordinary than the preceding ; 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. There is the ratio of infinity to one, that this equality...
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The American Journal of Science and Arts

1860 - 504 pages
...attraction, rendered this ratio rigorously exact, and it has moreover made the mean longitude of the first, minus three times that of the second, plus twice that of the third, equal to a semi-circumference. At the same time, it gave rise to a periodic inequality, which depends...
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Papers and Proceedings of the Royal Society of Tasmania

Royal Society of Tasmania - 1864 - 494 pages
...the time of that of the second ; the second half that of the third ; the mean longitude of the first, minus three times that of the second, plus twice that of the third, is always equal to 180°. Or the angular velocity of the first, added to twice that of the third, is...
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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...
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A Dictionary of Science, Literature, & Art: Comprising the ..., Volume 3

William Thomas Brande, George William Cox - 1867 - 1090 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...
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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...
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The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumes 1-2

1874 - 430 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...
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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...
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