 ... 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...  A Complete System of Astronomy - Page 272by Samuel Vince - 1814Full view - About this book
 | George Costard - 1778 - 162 pages
...Monimentis infita florent ? Lib. V. Line 330. by by the Pkto&s* aadt etfn thofe amafcing Bodies the Comets ; that the Squares of their Periodic Times are as the Cubes of their rn,ea,n Diftances ; could all thefe, and many more Inftances that might be produced have been concealed,... | |
 | Andrew Mackay - 1809 - 412 pages
...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 more distant... | |
 | Charles Butler - 1814 - 528 pages
...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,... | |
 | William Jevons - 1828 - 230 pages
...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 round the... | |
 | Mary Somerville - 1831 - 710 pages
...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. planets. For,... | |
 | Thomas Allen - 1834 - 430 pages
...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 pages
...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 pages
...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 according... | |
 | David Brewster - 1855 - 518 pages
...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 - 540 pages
...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 we have... | |
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