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" Sun) sweeps out equal areas in equal times. 3. The squares of the periodic times of the planets are proportional to the cubes of their mean distances from the Sun. "
The new American cyclopædia, ed. by G. Ripley and C.A. Dana - Strana 149
autor/autoři: American cyclopaedia - 1860
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The Intellectual repository for the New Church. (July/Sept. 1817 ...

New Church gen. confer - 1855 - 590 str.
...present planetary orbits ; and he gives a formula which brings out the same results as Kepler's law, that the squares of the periodic times of the planets are proportional to the cubes of their respective distances, There is also another motion which he points out, which is at present not seen....
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The Imperial magazine; or, Compendium of religious, moral ..., Svazek 6

1824 - 604 str.
...bodies in the solar system, and probably every other body in the whole compass of space. This law, viz. that the squares of the periodic times of the planets are to each other as the cubes of their mean distances from the central body, was first discovered by Kepler,...
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Svazek 3

1823 - 894 str.
...some relation existed between them. After many attempts continued for 17 years, he at last discovered that the squares of the periodic times of the planets are proportional to the cubes of the greater axis of their orbits. CHAP. IV. Of the Orbit j of the Comets. OF all the celestial bodies,...
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The Imperial Magazine, Or, Compendium of Religious, Moral ..., Svazek 6

1824 - 640 str.
...bodies in the solar system, and probably every other body in the whole compass of space. This law, viz. that the squares of the periodic times of the planets are to each other as the cubes of their mean distances from the central body, was first discovered by Kepler,...
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Mechanism of the Heavens

Mary Somerville - 1831 - 710 str.
...the orbits of the planets and comets are conic sections, having the sun in one of their foci. iii. That the squares of the periodic times of the planets...proportional to the cubes of their mean distances from the sun. 310. It has been shown, that if the law of the force which acts on a moving body be known, the...
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Mechanism of the Heavens

Mary Somerville - 1831 - 720 str.
...indefinitely small time dt, is J cdt ; hence the law of Kepler gives whence (85) But, by Kepler's third law, the. squares of the periodic times of the planets...proportional to the cubes of their mean distances from the sun ; therefore T' = *" a\ k being the same for all the planets. Hence c == but 2a (1 — e*) is 2SV,...
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Discourses on Various Subjects Relative to the Being and ..., Svazek 2

Adam Clarke - 1831 - 334 str.
...bodies in the solar system, and probably every other body in the whole compass of space. This law, viz. that the squares of the periodic times of the planets are to each other as the cubes of their mean distances from the central body, was first discovered by Kepler,...
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An Elementary Treatise on Mechanics

Jean-Louis Boucharlat - 1833 - 464 str.
...proportional to the times of description* 3°. The squares of the times of revolution of the several planets are proportional to the cubes of their mean distances from the sun. 496. The first of these laws, as will be demonstrated, is a particular case resulting from the...
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The Connection of the Physical Sciences

Mary Somerville - 1834 - 390 str.
...orbits of the planets and comets are conic sections, having the sun in one of their foci ; and third, that the squares of the periodic times of the planets...proportional to the cubes of their mean distances from the sun. These laws extend also to the satellites. Latent heat. Caloric existing in all bodies, which is...
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On the Connexion of the Physical Sciences

Mary Somerville - 1834 - 484 str.
...orbits of the planets and comets are conic sections, having the sun in one of their foci ; and third, that the squares of the periodic times of the planets...proportional to the cubes of their mean distances from the sun. These laws extend also to the satellites. Latent heat. Caloric existing in all bodies, which is...
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