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Books Books 1 - 10 of 39 on ... that the mean longitude of the first satellite, minus three times that of the....  
" ... 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 System of the World - Page 96
by Pierre Simon marquis de Laplace - 1809
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The Edinburgh Review: Or Critical Journal, Volume 11

Sydney Smith, Lord Francis Jeffrey Jeffrey, Macvey Napier, William Empson, Sir George Cornewall Lewis, Henry Reeve, Arthur Ralph Douglas Elliot (Hon.), Harold Cox - 1808
...the theory of the action of the satellites. Another singularity in this secondary system, is, that the mean longitude of the first satellite minus three times that of the fcecorrfl, -phi* twice th.it of the tlrird, never differs from two right angles bat by a quantity ahnost...
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The Panorama of Science and Art: Embracing the Sciences of ..., Volume 1

James Smith - Technology - 1815
...three times the mean motion of the second. And theiucan sidereal or synodical longitude of the first, minus three times that of the second, plus twice that of the third, is always equal to two right angles. When the satellites fall into the shadow of the primary, we lose...
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The Gallery of Nature and Art; Or, A Tour Through Creation and Science, Volume 1

Edward T W. Polehampton - Natural history - 1815
...times the mean mot ion .of the second. Ami, t !iimean sidereal or.synodicalloogitu.de of the first, minus three times that of the second, plus twice that of the third, U always equal to two right angles. • , .__.;• , . •. .,.,,. The satellites of Jupiter are liable...
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Time's Telescope

Almanacs, English - 1818
...but the absolute mean longitudes themselves are subject to a law equally remarkable : this is, that the mean longitude of the first satellite minus three...that of the second, plus twice that of the third, is always equal to a semicircumference, or 180°. The relation applies equally to the mean longitudes,...
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An elementary treatise on astronomy. ..., Volume 2

Robert Woodhouse - Celestial mechanics - 1818 - 487 pages
...found by observation to exist between the mean longitudes of the three first satellites. It is this ; the mean longitude of the first Satellite minus three...that of the second plus twice that of the third is equal to 1 80° ; in symbols, then, (nt + e) - 3 (n' t + O + 2 («" t + «") = 180°, consequently,...
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Biographical account of Matthew Stewart. Biographical account of James ...

John Playfair - Science - 1822 - 8 pages
...the theory of the action of the satellites. Another singularity in this secondary system, is, that the mean longitude of the first satellite minus three...that of the second, plus twice that of the third, never differs from two right angles, but by a quantity almost insensible. One can hardly suppose that...
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Works, with a memoir of the author, Volume 4

John Playfait - 1822
...the theory of the action of the satellites. Another singularity in this secondary system, is, that the mean longitude of the first satellite minus three...that of the second, plus twice that of the third, never differs from two right angles, but by a quantity almost insensible. One can hardly suppose that...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - Physical sciences - 1823 - 576 pages
...three times the mean motion of the second. And the mean sidereal or synodical 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 satellites of Jupiter are liable to be eclipsed by passing through...
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An Elementary Treatise on Astronomy: Adapted to the Present Improved State ...

Astronomy - 1827 - 420 pages
...absolute mean longitudes are themselves subjected to another law not less remarkable; namely, that the mean longitude of the first satellite, minus three...that of the second, plus twice that of the third, is always equal to 180°. This relation extends equally to the mean synodic and sidereal longitudes. It...
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Mechanism of the Heavens

Mary (Fairfax) Sommerville - Celestial mechanics - 1831 - 621 pages
...inequalities so modified by the mutual attraction of the satellites, that the secular equation of the first, minus three times that of the second, plus twice that of the third, would always be zero ; therefore the inequalities in the return of the eclipses, whose period is 437...
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