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Books Books 11 - 20 of 120 on The third, viz. that the squares of the periodic times are proportional to the cubes....
" The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances... "
History of Astronomy - Page 53
by George Forbes - 1909 - 200 pages
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Gravitation: An Elementary Explanation of the Principal ..., Volume 20

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...
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The Penny Cyclopędia of the Society for the Diffusion of Useful ..., Volume 13

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,'...
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The Penny Cyclopaedia of the Society for the Diffussion of Useful ..., Volume 13

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,'...
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The penny cyclopędia [ed. by G. Long].

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,'...
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Penny Cyclopaedia of the Society for the Diffusion of Useful ..., Volumes 13-14

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,'...
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The Elements of the Theory of Astronomy

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...
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Cambridge problems proposed by the moderators to the candidates for ...

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,"...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

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,...
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An introduction to geography and astronomy, with the use of the globes, by E ...

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....
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The Elements Of Astronomy; Or The World As It Is And As It Appears

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...
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