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" ... the squares of the times of revolution of the planets about the sun are proportional to the cubes of their mean distances from the sun. "
Popular cyclopaedia of natural science (by W.B. Carpenter). - Page 463
by William Benjamin Carpenter - 1843
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 63

Perry Fairfax Nursey - Industrial arts - 1855 - 640 pages
...His third law simply states that the squares of the periodic times of the planets, in their orbits round the sun, are proportional to the cubes of their mean distances from the sun ; from which Newton, having already established in accordance with the two first laws, the truth...
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Elements of the Differential and Integral Calculus

W. Smyth - Calculus - 1859 - 250 pages
...the sun in one of their foci. 3°. The squares of the times of the revolutions of the planets about the sun, are proportional to the cubes of their mean distances from the sun. 184. From these laws, derived from observation, Newton deduced the law of universal gravitation....
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A System of Logic: Comprising a Discussion of the Various Means of Acquiring ...

P. McGregor - Logic - 1862 - 496 pages
...from the Sun is readily ascertained from the law that the squares of the times of their revolutions round the Sun, are proportional to the cubes of their mean distances, a law which is a necessary consequence of those of motion and gravitation. The distance and apparent...
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Practical arithmetic for senior classes

Henry G C. Smith - 1863 - 200 pages
...find that of Venus, whose volume is -953 of that of the Earth. Kepler's Third Law: — the BQUARES OF THE TIMES in which the planets revolve round the sun are proportional to the СОВЕЭ OP THEIR MEAN DISTANCES /ГОШ the SUn. 45. The periodic time of the Earth is 365-256 da.,...
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Elements of Analytical Mechanics

William Holms Chambers Bartlett - Mechanics, Analytic - 1866 - 520 pages
...one of its foci in the surfs centre. III. That the squares of the periodic times of the planets about the sun, are proportional to the cubes of their mean distances from that body. These are called the laws of Kepler, and lead directly to a knowledge of the nature of the...
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Catholic World, Volume 4

1867 - 878 pages
...his remarks on the Third Law of Kepler, namely, that the squares of the times of planetary revolution round the sun are proportional to the cubes of their mean distances from that central luminary, Sir J. Ilerschel has the following pertinent observations. " Of all the laws...
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Smith's Illustrated Astronomy: Designed for the Use of the Public Or Common ...

Asa Smith - 1868 - 86 pages
...is the third law ? A. It is that the squares of the times of the revolutions of the planets around the sun, are proportional to the cubes of their mean distances from the sun. THE MEAN AND THUE PLACE OF A PLANET. Q. What is the mean place of«the earth, or a planet in its...
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Strange footsteps; or, Thoughts on the providence of God, by C. and H. Kendall

Charles Kendall, rev. Henry Kendall - Providence and government of God - 1871 - 336 pages
...second is that the radius vector moves over equal areas in equal times, and the third that the squares of the times in which the planets revolve round the...the cubes of their mean distances from the centre. The shadow of eclipse first stains the bright disk of sun or moon at the appointed moment to the decimals...
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Fourteen Weeks Course in Descriptive Astronomy

Joel Dorman Steele - Astronomy - 1876 - 348 pages
...triumphed, and he reached the third law — THE SQUARES OP THE TIMES OF REVOLUTION OF THE PLANETS ABOUT THE SUN, ARE PROPORTIONAL TO THE CUBES OF THEIR MEAN DISTANCES FROM THE SUN.* In rapture over the discovery of these three laws, so marked by that divine simplicity which...
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Studies in Astronomy: Being a Lecture on the Science, Elaborated with ...

Arthur K. Bartlett - Astronomy - 1881 - 76 pages
...EQUAL AREAS IN EQUAL TIMES. Third, — THE SQUARES OF THE PERIODS OF REVOLUTION OF THE PLANETS AROUND THE SUN, ARE PROPORTIONAL TO THE CUBES OF THEIR MEAN DISTANCES FROM THE SUN. These three laws are the foundation of our astronomical knowledge, and form one of the most glorious...
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