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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 Connexion of the Physical Sciences - Page 432
by Mary Somerville - 1835 - 493 pages
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A Philosophical and Mathematical Dictionary: Containing an ..., Volume 2

Charles Hutton - Astronomy - 1815 - 686 pages
...their periods round him ; the great law of which is, that the squares of the periodic times are always proportional to the cubes of their mean distances from the sun. , The periods, both tropical and sidereal, with the proportions of the mean distances of the several planets,...
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An Introduction to Astronomy ...

John Bonnycastle - Astronomy - 1816 - 490 pages
...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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Elements of Astronomy: Descriptive and Physical ...

Hervey Wilbur - Astronomy - 1831 - 170 pages
...the squares of the periods, in which any two pla* nets complete their revolutions in their orbits, are proportional to. the cubes of their mean distances from the Sun. \ This proportion requires illustration. Let the period of tha Earth's revolution, be called 12 months,...
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Elements of Astronomy, Descriptive and Physical: In which the General ...

Hervey Wilbur - Astronomy - 1834 - 172 pages
...that the squares of the periods, in which any two planets complete their revolutions in their orbits, are proportional to the cubes of their mean distances from the Sun. This proportion requires illustration. Let the period of the Earth's revolution, be called 12 months,...
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Pantology: Or, A Systematic Survey of Human Knowledge; Proposing a ...

Roswell Park - Best books - 1841 - 722 pages
...the sun, pass over equal areas in equal times; and 3. The squares of their times of annual revolution are proportional to the cubes of their mean distances from the sun. By the second law, the planets move slowest when farthest from the sun ; as the radius vector, being...
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On the Connection of the Physical Sciences

Mary Somerville - Science - 1846 - 496 pages
...fig. 7, having the sun in 8, though it !i probable that they really move in very long fiat ellipses; others appear to move in hyperbolas, like fig. 8....that number multiplied by itself, and the cube of a uumber is thai number twice multiplied by itself. For example, the squares of the numbers 2, 3, 4,...
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On the Connection of the Physical Sciences

Mary Somerville - Physical sciences - 1846 - 506 pages
...nppenr to move in hyperbolas, liko fig. 8. The third lav. is, that the squares of the periodic limes of the planets are proportional to the cubes of their...that number multiplied by itself, and the cube of a numher is thai number twice multiplied by itself. For example, the squares of the numbers 2, 3, 4,...
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On the Connection of the Physical Sciences

Mary Somerville - Physical sciences - 1846 - 496 pages
...hyperbolas, like fig. 8. The third law is, that the squares of the periodic times of the planets ore proportional to the cubes of their mean distances...that number multiplied by itself, and the cube of a nuraher is that number twice multiplied by itself. Far example, the squarea of the numbers 2, 3, 4,...
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An introduction to geography and astronomy, with the use of the globes, by E ...

Edward Bruce (bookseller.), John Bruce - Astronomy - 1846 - 398 pages
...the planets are ellipses, having the sun in one of their foci. 3rd The squares of the periodic times are proportional to the cubes of their mean distances from the sun. The secondary planets or satellites obey the same laws as the primary. They all move from west to east...
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Pantology; or, A systematic survey of human knowledge

Roswell Park - 1847 - 632 pages
...sun, pass over equal areas in equal times ; and 3. The squares of their times of annual revolution are proportional to the cubes of their mean distances from the sun. By the second law, the planets move slowest when farthest from the sun ; as the radius vector, being...
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