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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. "
The Encyclopedia Americana: A Library of Universal Knowledge - Page 374
1919
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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 - Astronomy - 1869 - 172 pages
...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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The Builders of Babel

Dominick M'Causland - Hamites - 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,...
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A Dictionary of Science: Comprising Astronomy, Chemistry, Dynamics ...

George Farrer Rodwell - Physical sciences - 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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The Elements of Theoretical and Descriptive Astronomy: For the Use of ...

Charles Joyce White - Astronomy - 1872 - 300 pages
...in its orbit, are proportional to the times. (3.) The squares of the times of revolution of any two planets are proportional to the cubes of their mean distances from the sun. These laws were verified by Newton in his Principia, in a course of mathematical reasoning, the foundation of...
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Student's Class Book of Astronomy

Francis Bullock - Astronomy - 1873 - 240 pages
...Planet moves over Equal Areas in Equal Times ; and (3) that tho Squares of the Periodic Times of the Planets are Proportional to the Cubes of their Mean Distances from the Sun. But these Laws were not universally accepted as the real expression of the phenomena before Newton...
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Course in Elementary Physics

Charles Robert Cross - Mechanics - 1873 - 182 pages
...any planet describes equal areas m equal times. III. The squares of the times of revolution of the planets are proportional to the cubes of their mean distances from the sun. The following is an outline of the course of reasoning followed by Newton. In the first place the proposition...
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A Dictionary of Science: Comprising Astronomy, Chemistry, Dynamics ...

George Farrer Rodwell - Physical sciences - 1873 - 752 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 BUD. (See Central Forces.) Kctone. See Acetone. Kilogrammetre. The French unit used in estimating the...
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Geography Generalized; Or, An Introduction to the Study of Geography on the ...

Robert Sullivan - 1874 - 502 pages
...easily understood—36, 69, 95, 144, 490, 900, 1,800, 2,800. The squares of the periodic times of the planets are proportional to the cubes of -their mean distances from the sun. Hence, as the distance of the earth from the sun has been found by the transits of Venus to be about...
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The popular encyclopedia; or, 'Conversations Lexicon': [ed. by A. Whitelaw ...

Popular encyclopedia - 1875 - 532 pages
...times. 3. The squares of the periodic times (the periods of complete revolution round the sun) of two planets are proportional to the cubes of their mean distances from the sun. These laws were discovered from calculations on Tycho Brahe's observations; they enabled Newton to determine the...
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