| George Costard - Customary law - 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... | |
| Charles Butler - Mathematics - 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... | |
| Samuel Vince - Astronomy - 1814 - 628 pages
...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... | |
| William Jevons - Astronomy - 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... | |
| William Whewell - Celestial mechanics - 1832 - 286 pages
...the Introduction. It was discovered by Kepler, and is called his third Law, that the squares of the periodic times are as the cubes of the mean distances from the sun. From this it follows, Introd. Prop. 4. Cor. 6, that the forces are inversely as the distances... | |
| Thomas Allen - Lincolnshire (England) - 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... | |
| Perry Fairfax Nursey - Industrial arts - 1836 - 502 pages
...five moons. We shall see how this agrees with one of Kepler's laws, namely, that the squares of the periodic times are as the cubes of the mean distances from the sun. Let t and T be the periodic times, of two planets, </ and D their mean distances, /• and V their... | |
| Industrial arts - 1836 - 498 pages
...five moons. We shall see how this agrees with one of Kepler's laws, namely, that the squares of the periodic times are as the cubes of the mean distances from the sun. Let t and T be the periodic times of two planets, d and D their mean distances, v and V their... | |
| Robert Main - Astronomy - 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... | |
| Henry Brougham Baron Brougham and Vaux, Edward John Routh - Physics - 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...Newton which we have been considering, shown to be deflected from the tangent of their orbit, and retained in their paths, by a force acting inversely... | |
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