| Sir George Biddell Airy - Perturbation (Astronomy) - 1834 - 215 pages
...in ellipses ; that the radius vector in each orbit passes over areas proportional to the times, and **that the squares of the periodic times are proportional to the cubes of the mean distances,** are commonly called Kepler's laws. They were discovered by Kepler from observation, before the theory... | |
| Encyclopedias and dictionaries - 1839
...areas constitute two of the three celebrated truths known by the name of Kepler's laws. The third, viz. **that the squares of the periodic times are proportional to the cubes of the mean distances from the sun,** was not discovered till twelve years after, although, before the publication of his ' Mysterium Cosmographicum,'... | |
| 1839
...areas constitute two of the three celebrated truths known by the name of Kepler's laws. The third, viz. **that the squares of the periodic times are proportional to the cubes of the mean distances from the sun,** was not discovered till twelve pears after, although, before the publication of his ' Mysterium Cosmographicum,'... | |
| Society for the diffusion of useful knowledge - 1839
...areas constitute two of the three celebrated truths known by the name of Kepler's laws. The third, viz. **that the squares of the periodic times are proportional to the cubes of the mean distances from the sun,** was not discovered till twelve years after, although, before the publication of his ' Mysterium Cosraographicum,'... | |
| Encyclopedias and dictionaries - 1839
...areas constitute two of the three celebrated truths known by the name of Kepler's laws. The third, viz. **that the squares of the periodic times are proportional to the cubes of the mean distances from the sun,** was not discovered till twelve years after, although, before the publication of his ' Mysterium Cosmographicum,'... | |
| John Hymers - Astronomy - 1840 - 354 pages
...plane proportional to the time. (2) The orbits are ellipses having the Sun in one of their foci. (3) **The squares of the periodic times are proportional to the cubes of the mean distances from the Sun.** The first shews that the force which acts on the bodies tends always to the center of the Sun; the... | |
| 1843
...revolve in ellipses round the same centre of force varying inversely as the square of the distance, **the squares of the periodic times are proportional to the cubes of the** major axes of the orbits. 15. Define the terms " meridian," " terrestrial latitude and longitude,"... | |
| Harvey Goodwin - Mathematics - 1846 - 468 pages
...each planet about the sun are, in the same orbit, proportional to the time of describing them. III. **The squares of the periodic times are proportional to the cubes of the** major axes. It will be easily seen that these three laws follow at once from the hypothesis of a force,... | |
| Edward Bruce (bookseller.), John Bruce - Astronomy - 1846 - 120 pages
...equal times. 2nd. The orbits of the planets are ellipses, having the sun in one of their foci. 3rd **The squares of the periodic times are proportional to the cubes of** their mean distances from the sun. The secondary planets or satellites obey the same laws as the primary.... | |
| Edwards - 1850
...radii. Hence we have 2 rTT2 _ . _ . . r2 ' r/2 ' ' T2 * T'2 rs T/2=z: r/3 T2 • which is Kepler's **third law, that the squares of the periodic times...are proportional to the cubes of the mean distances.** This same proposition gives us the mass of two attracting bodies, the orbits and periodic times of... | |
| |