 | Andrew Mackay - 1809 - 412 sidor
...therefore, subject to the same laws as a planet ; that is, they describe equal areas, in equal times, and the squares of their periodic times, are as the cubes of their mean distances, &c. As few Comets have been observed to have any diurnal parallax, they must, therefore,be... | |
 | Charles Butler - 1814 - 528 sidor
...that " the planets move in elliptical orbits ;" that " they describe equal areas in equal times ;" and that " the squares of their periodic times are as the cubes of their distances." Every part of natural philosophy not only received improvement by his inimitable touch,... | |
 | Samuel Vince - 1814 - 628 sidor
...determined the periodic times and mean distances of the planets, he discovered, by trial, the famous law, that the squares of their periodic times are as the cubes of their mean distances. He also found, that in the apsides the areas described by the planets in equal times... | |
 | William Jevons - 1828 - 230 sidor
...proved by Newton, to be a necessary consequence of the force which retains the planets in their orbits, that the squares of their periodic times are as the cubes of their mean distances from the sun.* Thus, the periodic time of the earth, that is, the period of its revolution... | |
 | Mary Somerville - 1831 - 710 sidor
...Jupiter and Saturn is derived most clearly from this ratio, — that, for each system of satellites, the squares of their periodic times are as' the cubes of their mean distances from the centres of their respective LAW OF UNIVERSAL GRAVITATION. [BooV II. fg. 64.... | |
 | Thomas Allen - 1834 - 430 sidor
...that "the planets move in elliptical orbits," that "they describe equal areas in equal times ;" and that the squares of their periodic times are as the cubes of their distances. Every part of natural philosophy not only received improvement bv his inimitable touch but... | |
 | Henry Brougham Baron Brougham and Vaux - 1839 - 532 sidor
...to the times by their radii vectores drawn to that focus, and it being further found by those lawn that the squares of their periodic times are as the cubes of the mean distances from the focus, they are by these propositions of Sir Isaac Newton which we have... | |
 | Robert Main - 1852 - 186 sidor
...to the description of elliptical orbits, they describe round the sun equal areas in equal times, and that the squares of their periodic times are as the cubes of their mean distances from the sun. 206. They also suffer perturbations from their mutual action on each other... | |
 | David Brewster - 1855 - 518 sidor
...revolve in elliptical orbits ; that their radii vectores describe areas proportional to the times ; and that the squares of their periodic times are as the cubes of their distances from the sun. Galileo had added to the universe a whole system of secondary planets. Huygens... | |
 | Henry Brougham Baron Brougham and Vaux, Edward John Routh - 1855 - 512 sidor
...to the times by their radii vectores drawn to that focus, and it being further found by those laws that the squares of their periodic times are as the cubes of the mean distances from the focus* they are by these propositions of Sir Isaac Newton which \ve have... | |
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... demonstrated respecting motion in circular orbits. The planets then and their satellites being known by Kepler's laws to move in elliptical orbits, and to describe round the sun in one focus areas proportional to the times by their radii vectores... 
