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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. "
On the Connection of the Physical Sciences - Page 399
by Mary Somerville - 1846 - 460 pages
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A Handbook of Descriptive Astronomy

George Frederick Chambers - 1877 - 968 pages
...Times, Oct. 35, 1858.) 2. The radius vector of each planet describes equal areas in equal times. 3. The squares of the periodic times of the planets are...to the cubes of their mean distances from the Sun. These laws hold good for all the planets and all their satellites. I have already referred in general...
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Transactions of the South African Philosophical Society, Volumes 1-3

Royal Society of South Africa - 1878 - 922 pages
...of the laws of planetary motion, one of which says: — "The squares of the times of the revolutions of the planets are proportional to the cubes of their mean distances from the sun." That is to say, there is a fixed relation between the mean distances of the planets from the sun and...
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Origin, Progress and Destiny of the English Language and Literature

John Adam Weisse - 1878 - 748 pages
...the sun, describes or passes over equal areas in equal times. 3. The squares of the periodic times of planets are proportional to the cubes of their mean distances from the sun. Of them Sir John Herschel says : " These laws constitute the most important and beautiful system of...
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The American Cyclopædia: A Popular Dictionary of General Knowledge, Volume 2

George Ripley, Charles Anderson Dana - 1879 - 836 pages
...continually drawn from the sun to any given planet, this line will sweep over equal areas in equal times. 3. The squares of the periodic times of the planets are...proportional to the cubes of their mean distances. In the mean time the telescope had been invented, and when less than one year had passed after the...
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The national encyclopædia. Libr. ed, Volume 8

National cyclopaedia - 1879 - 668 pages
...proportional to the time occupied in its description. And 3. That the squares of the times of the revolutions of the planets are proportional to the cubes of their mean distances from the sun. This latter was discovered bv Kepler in 1618. KEPl'EL, AUGUSTUS, VISCOUNT, a gallant and able English...
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A Naval Encyclopædia: Comprising a Dictionary of Nautical Words and Phrases ...

1880 - 1054 pages
...ellipse, having one of its foci in the sun. 2d. That equal areas are described in equal times. 3d. That the squares of the periodic times of the planets...to the cubes of their mean distances from the sun. Kerfe. The notch or slit made in cutting or sawing timber. Kerguelen's Land, or Island of Desolation....
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The Transactions of the South African Philosophical Society, Volumes 1-3

1880 - 892 pages
...of the laws of planetary motion, one of which says: — "The squares of the times of the revolutions of the planets are proportional to the cubes of their mean distances from the sun." That is to say, there is a fixed relation between the mean distances of the planets from the "m and...
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The Sidereal Messenger of Galileo Galilei: And a Part of the Preface to ...

Galileo Galilei - 1880 - 148 pages
...considerations, however, Kepler was led to enunciate his third law, that the squares of the periodic times of planets are proportional to the cubes of their mean distances from the sun. — KEPUSR, Prodromtu Dissertationum Mathematicarum continens Mysterium Cosmograplacum, etc. (Tubingen,...
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Publications of the Surtees Society, Volume 1; Volume 73

1880 - 584 pages
...JfyitrriH'n G>imograph'ufum, lie published his 3d Law, "that the squares of the planets' periods or years," are proportional to the cubes of their mean distances from the sun. From the second of these Law.-, it u inferred that the force acting on the planets is in every case...
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Studies in Astronomy: Being a Lecture on the Science, Elaborated with ...

Arthur K. Bartlett - 1881 - 76 pages
...IN EQUAL TIMES. Third, — THE SQUARES OF THE PERIODS OF REVOLUTION OF THE PLANETS AROUND THE SUN, ARE PROPORTIONAL TO THE CUBES OF THEIR MEAN DISTANCES FROM THE SUN. These three laws are the foundation of our astronomical knowledge, and form one of the most glorious...
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