| 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... | |
| 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... | |
| 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§... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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