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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. "
A Manual of Spherical and Pratical Astronomy: Embracing the General Problems ... - Page 673
by William Chauvenet - 1864
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New American Practical Navigator, Volume 1

Nautical astronomy - 1977 - 1412 pages
...over equal areas in equal intervals of time. 3. The squares of the sidereal periods of any two planets are proportional to the cubes of their mean distances from the sun. In 1687 Isaac Newton stated three "laws of motion," which he believed were applicable to the planets....
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The History of the World,: From the Reign of Alexander to that of ..., Volume 2

John Gillies - History, Ancient - 1809 - 610 pages
...Iliii, Oxim. 1699. ss Hesiod. Theoirou. 54 Archimed. in Psammit. p. 120. a:' Ovid. Fast. 1. vi. CHAP, the squares of their periodic times are proportional to the '— — cubes of their mean distances. This law, together with that of falling bodies previously ascertained by Galileo, prepared the way...
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The General Biographical Dictionary:: Containing an Historical and Critical ...

Biography - 1815 - 544 pages
...proportional to the times ; that they move in elliptical orbits, having the sun in one focus; and that the squares of their periodic times, are proportional to the cubes of their mean distances ; which are now generally known by die name of Kepler's Laws. Kepler had a particular passion for finding...
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The General Biographical Dictionary, Volume 19

Alexander Chalmers - Biography - 1815 - 548 pages
...proportional to the times ; that they move in elliptical orbits, having the sun in one focus ; and that the squares of their periodic times. are proportional to the cubes of their mean distances ; which are now generally known by the name of Kepler's Laws. Kepler had a particular passion for finding...
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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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The History of Ancient Greece: Part the first. From the earliest accounts ...

John Gillies - Greece - 1820 - 598 pages
...distances and motions of the planets, from the contemplation of which Kepler in, 1680, discovered that the squares of their periodic times are proportional to the cubes of their mean distances. This law, together with that of falling bodies previously ascertained by Galileo, prepared the way...
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The History of Ancient Greece: Its Colonies and Conquests; from ..., Volumes 5-6

John Gillies - Greece - 1820 - 1214 pages
...distances and motions of the planets, from the contemplation of which Kepler in 1680, discovered that the squares of their periodic times are proportional to the cubes of their mean distances. This law, together with that of falling bodies previously ascertained by Galileo, prepared the way...
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Library for the people. (Division 1). The wonders of nature and art ..., Issue 2

Library - 1827 - 712 pages
...is as follows : 5. " The squares of the times of revolution in any two planets, vary in proportion to the cubes of their mean distances from the sun," — that is, if the square of the time of one be multiplied by the cube of the distance of another, the products...
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Mechanism of the Heavens

Mary Somerville - Astronomy - 1831 - 710 pages
...satellites from their configurations, and Kepler was able to deduce from these imperfect data, proofs that the squares of their periodic times are proportional to the cubes of their mean distances, establishing an analogy between these bodies and the planetary systems, subsequently confirmed. Bradley...
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Mechanism of the Heavens

Mary Somerville - Celestial mechanics - 1831 - 720 pages
...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 == but 2a (1 — e*) is 2SV, the...
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