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" The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun. "
An introduction to geography and astronomy, with the use of the globes, by E ... - Página 309
de Edward Bruce (bookseller.), John Bruce - 1846 - 120 páginas
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American Practical Navigator, Volumen 1

1977
...over equal areas in equal intervals of time. 3. The squares of the sidereal periods of any two planets are proportional to the cubes of their mean distances from the sun. In 1687 Isaac Newton stated three "laws of motion," which he believed were applicable to the planets....
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The British encyclopedia, or, Dictionary of arts and sciences, Volumen 6

William Nicholson - 1809
...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 planets...
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A Philosophical and Mathematical Dictionary: Containing an ..., Volumen 2

Charles Hutton - 1815
...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 also PLANETS....
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An Introduction to Astronomy

John Bonnycastle - 1816 - 428 páginas
...that the squares of the times in which any two planets complete their revolutions in their orbits, are proportional to the cubes of their mean distances from the sun. To illustrate this rule by an example : Venus, for instance, revolves round the sun in 224 days, and...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volumen 11

William Nicholson - 1821
...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 planets,...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volumen 3

William Nicholson - 1819
...proportional to the times in which they are described. The squares of their periodical times are as the cubes of their mean distances from the sun. The secondary planets describe also circles or ellipses, one of whose foci is in the center of their primary ones, &c. From...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volumen 11

William Nicholson - 1821
...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 planets,...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 576 páginas
...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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The Glasgow Mechanics' Magazine; and Annals of Philosophy, Volumen 1

1824
...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...
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Lectures on the Philosophy of Modern History, Volumen 5

George Miller - 1824
...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...
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