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" The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the Sun. "
On the Connection of the Physical Sciences - Page 395
by Mary Somerville - 1846 - 468 pages
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A Treatise on Infinitesimal Calculus: Statics, and dynamics of material ...

Bartholomew Price - 1868 - 736 pages
...describing them. II. The orbits of the planets are ellipses, in one of the foci of which ij the sun. III. The squares of the periodic times of the planets are proportional to Hie cubes of the semi axis major (or mean distance*). Let us translate these into their mathematical...
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Smith's Illustrated Astronomy: Designed for the Use of the Public Or Common ...

Asa Smith - 1868 - 86 pages
...all the planets are subject to one general LAW, which is, that the " square» of thtir periodic times are proportional to the cubes of their mean distances from the sun." This law was fully demonstrated and established by Sir ISAAC NEWTON. Astronomers found it very easy...
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All the Year Round, Volumes 19-20

1868 - 1236 pages
...of the diii'ereiit planets round the sun, had discovered that the squares of the times of revolution are proportional to the cubes of their mean distances from the sun.. It is possible, moreover, to calculate for each of the planets (as already indicated for the moon)...
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All the Year Round, Volume 19

Charles Dickens - 1868 - 680 pages
...of the di licrent planets round the sun, had discovered that tin- squares of the times of revolution are proportional to the cubes of their mean distances from the sun. It is possible, moreover, to caleulate for each of the planefs (as already indicated for the moon)...
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School Atlas of Astronomy: Comprising, in Twenty-one Plates, a Complete ...

Alexander Keith Johnston - 1869 - 172 pages
...with the sun, it will sweep over equal areas in equal times. 3. The squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the sun. The first of these theorems defines the form of the curve in which the planet revolves, and its position...
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Brinkley's Astronomy

John Brinkley - 1871 - 344 pages
...magnitude, some of which are of much greater magnitude than the earth. Again, it will hereafter appear that the squares of the periodic times of the planets are proportional to the cubes of their distances from the sun. Now, considering the earth as a planet revolving round the sun, its distance...
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The Builders of Babel

Dominick M'Causland - 1871 - 360 pages
...are proportional to the times of describing them. 3rd. That the squares of the periods of different planets are proportional to the cubes of their mean distances from the sun. The first law determines the figure of the orbit, the second regulates the velocity of the planet, and...
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A Dictionary of Science: Comprising Astronomy, Chemistry, Dynamics ...

George Farrer Rodwell - 1871 - 620 pages
...areas in equal times. 3. The squares of the period of complete revolution, or periodic times of any two planets are proportional to the cubes of their mean distances from the sun. (See Central Forces.) KETONE. See Acetone. KILOGRAMMETRE. The French unit used in estimating the mechanical...
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Proceedings, Volumes 1-26

Literary and Philosophical Society of Liverpool - 1872 - 530 pages
...discovered, between the periodic times and the distances of the planets, which is thus expressed : — The squares of the periodic times of the planets are...proportional to the cubes of their mean distances. From this law it follows that the relative distances between the sun and all the planets in the solar system...
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Proceedings, Volumes 1-26

Literary and Philosophical Society of Liverpool - 1872 - 538 pages
...discovered, between the periodic times and the distances of the planets, which is thus expressed : — The squares of the periodic times of the planets are...proportional to the cubes of their mean distances. From this law it follows that the relative distances between the sun and all the planets in the solar system...
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