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" ... that the squares of the periodic times of the planets are proportional to the cubes of their mean distances from the sun. "
Brinkley's Astronomy - Seite 62
von John Brinkley - 1871 - 307 Seiten
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The Intellectual repository for the New Church. (July/Sept. 1817 ...

New Church gen. confer - 1855 - 590 Seiten
...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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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Band 3

1823 - 894 Seiten
...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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Monthly Review; Or Literary Journal Enlarged

1829 - 682 Seiten
...previously found out, by observations, that the squares of the times of revolution of the different planets are proportional to the cubes of their distances from the sun. Setting out with this law, Newton found, by calculation, that the force of solar gravity decreases...
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Mechanism of the Heavens

Mary Somerville - 1831 - 710 Seiten
...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 are 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...
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Mechanism of the Heavens

Mary Somerville - 1831 - 720 Seiten
...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 are proportional to the cubes of their mean distances from the sun ; therefore T' = *" a\ k being the same for all the planets. Hence c ==...
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Encyclopaedia Americana: A Popular Dictionary of Arts, Sciences ..., Band 9

Francis Lieber, Edward Wigglesworth, Thomas Gamaliel Bradford - 1832 - 650 Seiten
...Setting out with the law of Kepler (q. \.\ that the squares of the times of revolution of the different planets are proportional to the cubes of their distances from the sun, Newton found, by calculation, that the force of solar gravity decreases proportionally to the square...
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Lives of Eminent Persons

Society for the Diffusion of Useful Knowledge (Great Britain) - 1833 - 584 Seiten
...previously found out by observation, namely, that the squares of the times of revolution of the different planets are proportional to the cubes of their distances from the sun. Setting out with this law, Newton found, by calculation, that the force of solar gravity decreases...
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Lives of Eminent Persons: Consisting of Galileo, Kepler, Newton, Mahomet ...

Society for the Diffusion of Useful Knowledge (Great Britain) - 1833 - 584 Seiten
...previously found out by observation, 'namely, that the squares of the times of revolution of the different planets are proportional to the cubes of their distances from the sun. Setting out with this law, Newton found, by calculation, that the force of solar gravity decreases...
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Lives of eminent persons; consisting of Galileo, Kepler

Lives - 1833 - 588 Seiten
...previously found out by observation, namely, that the squares of the times of revolution of the different planets are proportional to the cubes of their distances from the sun. Setting out with this law, Newton found, by calculation, that the force of solar gravity decreases...
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The Connection of the Physical Sciences

Mary Somerville - 1834 - 390 Seiten
...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 are proportional to the cubes of their mean distances from the sun. These laws extend also to the satellites. Latent heat. Caloric existing...
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