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" THIRD LAW. — The squares of the periodical times are as the cubes of the mean distances from the sun. The periodical time of a body is the time it takes to complete its orbit, in its revolution about the sun. Thus the earth's periodic time is one year,... "
An Introduction to Astronomy: Designed as a Textbook for the Use of Students ... - Page 174
by Denison Olmsted - 1839 - 276 pages
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The Elements of Astronomy, Physical and Geometrical, Volume 2

David Gregory - 1715 - 566 pages
...28. B. i.) the fame abfolute attractive Force remaining in T, (tho' the Radius be any way chang'dj the Squares of the Periodical Times; are as the Cubes of the Radii, and therefore the Periodical Times are in a fefquiplicate Ratio of the Radii. Therefore if neither...
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Philosophia Britannica: Or, A New & Comprehensive System of the Newtonian ...

Benjamin Martin - 1747 - 574 pages
...Example ; in the firft and fecond Sawhich which all other moving Bodies of the Syftem obferve, viz. That the Squares of the periodical Times are as the Cubes of the Dijtances: But if the Sun move about the Earth, that Law is deftroy'd, and the general Order and Symmetry...
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Outlines of Natural Philosophy: Being Heads of Lectures Delivered ..., Volume 2

John Playfair - 1814 - 392 pages
...172. When the mean distances of the planets are compared, and also their periodical times, it is found that the squares of the periodical times are as the cubes of the distances. This great general fact was also discovered by KEPLER, and is the third of the laws that bear hi§...
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The Rhode-Island Literary Repository, Volume 1

Isaac Bailey - 1814 - 826 pages
...the universal law of gravity, which regulates the motions of the primary planets and satellite! (viz. that the squares of the periodical times are as the cubes of their distances from the sun), could not always perform their motions around the sun, so as always...
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Encyclopaedia Britannica; Or A Dictionary of Arts, Sciences, and ..., Volume 3

1823 - 894 pages
...revolving with it, would always describe equal areas in equal times. He discovered, in the year 1618, that the squares of the periodical times are as the cubes of the distances of the planets ; two laws which have been of the greatest importance to the advancement of astronomy....
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pages
...matter in any central attracting body. Then, since it appears, from all astronomical observations, that the squares of the periodical times are as the cubes of the distances, of the planets, ami satellites from their respective centres. Therefore (Art. 14,) the centripetal...
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Southern Literary Messenger, Volume 5

1839 - 914 pages
...onward progress of the sciences. He seems to lay great stress on what has been called Kepler's rule, "That the squares of the periodical times are as the cubes of the distances.1' Well —admitting this, and what then? It is of no we to the practical astronomer,and...
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A Compendium of Astronomy

Denison Olmsted - 1839 - 300 pages
...length of those figures which are described by the radius vector where it is longer. 130. THIRD LAW. The squares of the periodical times are as the cubes of the mean distances from the sun. The periodical time of a body is the time it takes to complete its orbit...
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The chart and scale of truth, by which to find the cause of error

Edward Tatham - 1840 - 810 pages
...thence, " that the planets are attracted towards the sun as their centre." Kepler's second rule is, " That the squares of the periodical times are as the cubes of the transverse axis of their orbits;" and Sir Isaac demonstrated " that the force is reciprocally as the...
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Letters on Astronomy: Addressed to a Lady; in which the Elements of the ...

Denison Olmsted - 1841 - 486 pages
...length of those figures which are described by the radius vector where it is longer. THIRD LAW. — The squares of the periodical times are as the cubes of the mean distances from the sun. The periodical time of a body is the time it takes to complete its orbit,...
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