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" The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances... "
History of Astronomy - Page 53
by George Forbes - 1909 - 200 pages
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 6

William Nicholson - 1809 - 722 pages
...ones do round their centre the .Sun; viz. in such manner that, in the satellites of the same planet, the squares of the periodic times are proportional to the cubes of their distances from the primary planet. SATELLITE« of Jupiter, are four little moons, or secondary...
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A Philosophical and Mathematical Dictionary: Containing an ..., Volume 2

Charles Hutton - Astronomy - 1815 - 686 pages
...do round their centre the sun ; viz, in ¡>ueh a maniirr that, in the satellites of the same planet, the squares of the periodic times are proportional to the cubes of their distances from the primary planet. For the physical cause of their motions, see GRAVITY. See...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 11

William Nicholson - Natural history - 1821 - 384 pages
...ones do round their centre the Sun ; viz. in such manner, that, in the satellites of the same planet, the squares of the periodic times are proportional to the cubes of their distances from the primary planet. SATELLITES of Jupiter, are four little moons, or secondary...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 11

William Nicholson - Natural history - 1821 - 382 pages
...ones do round their centre the Sun ; viz. in such manner, that, in the satellites of the same planet, the squares of the periodic times are proportional to the cubes of their distances from the primary planet. SATELLITES of Jupiter, are four little moons, or secondary...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - Mathematics - 1823 - 666 pages
...the mean distances. Farther, it is rigorously demonstrable, that when bodies circulate in such manner that the squares of the periodic times are proportional to the cubes of the distances, the central force which actuates them is in the inverse ratio of the square of the distance...
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Volume 16

Encyclopedias and dictionaries - 1823 - 872 pages
...parts of its orbit, are proportional to the times of description. 3. The squares of the periodic thnes are proportional to the cubes of the mean distances from the sun. ,w of By this observation or discovery, the study of the placon's notary motions were greatly promoted,...
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The Glasgow Mechanics' Magazine; and Annals of Philosophy, Volume 1

1824 - 492 pages
...which section, if the projectile force does not exceed a certain limit, will become an ellipse. The third law, that the squares of the periodic times are proportional to the cubes of the distances, is a property which belongs to the bodies describing elliptic orbits, according to the conditions...
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Glasgow Mechanics' Magazine, and Annals of Philosophy, Volume 1

Industrial arts - 1824 - 492 pages
...section, if the projectile force does not exceed a certain limit, will become an ellipse. The tliird law, that the squares of the periodic times are proportional to the cubes of the distances, is a property which belongs to the bodies describing elliptic orbits, according to the conditions...
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Lectures on the Philosophy of Modern History: Delivered in the ..., Volume 5

George Miller - History - 1824 - 538 pages
...proportional to the times ; 3. that in the movements of different planets round the same central body the squares of the periodic times are proportional to the cubes of the mean distances. The Rhodolphirie tables of the planetary movements, in constructing which he assisted Tycho, were published...
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A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Volume 3

Thomas Curtis - Aeronautics - 1829 - 852 pages
...sector S Pp by the time, t, and the sector varies as *Ja ; therefore Q varies as i^/07 253. Again, the squares of the periodic times are proportional to the cubes of the transverse axes. For let 6 be the less, </ the greater axis, and a the parameter ; then by conies ad...
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