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" The squares of the periodic times are proportional to the cubes of the major axes of the orbits. "
Mechanics for beginners - Σελίδα 327
των Isaac Todhunter - 1867 - 367 σελίδες
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The British encyclopedia, or, Dictionary of arts and sciences, Τόμος 6

William Nicholson - 1809 - 722 σελίδες
...ones do round their centre the .Sun; viz. in such manner that, in the satellites of the same planet, the squares of the periodic times are proportional to the cubes of their distances from the primary planet. SATELLITE« of Jupiter, are four little moons, or secondary...

A Philosophical and Mathematical Dictionary: Containing an ..., Τόμος 2

Charles Hutton - 1815 - 686 σελίδες
...do round their centre the sun ; viz, in ¡>ueh a maniirr that, in the satellites of the same planet, the squares of the periodic times are proportional to the cubes of their distances from the primary planet. For the physical cause of their motions, see GRAVITY. See...

British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Τόμος 11

William Nicholson - 1821 - 384 σελίδες
...ones do round their centre the Sun ; viz. in such manner, that, in the satellites of the same planet, the squares of the periodic times are proportional to the cubes of their distances from the primary planet. SATELLITES of Jupiter, are four little moons, or secondary...

American Edition of the British Encyclopedia: Or, Dictionary of ..., Τόμος 11

William Nicholson - 1821 - 382 σελίδες
...ones do round their centre the Sun ; viz. in such manner, that, in the satellites of the same planet, the squares of the periodic times are proportional to the cubes of their distances from the primary planet. SATELLITES of Jupiter, are four little moons, or secondary...

Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 666 σελίδες
...mean distances. Farther, it is rigorously demonstrable, that when bodies circulate in such manner that the squares of the periodic times are proportional to the cubes of the distances, the central force which actuates them is in the inverse ratio of the square of the distance...

The Glasgow Mechanics' Magazine; and Annals of Philosophy, Τόμος 1

1824 - 492 σελίδες
...if the projectile force does not exceed a certain limit, will become an ellipse. The third law, that the squares of the periodic times are proportional to the cubes of the distances, is a property which belongs to the bodies describing elliptic orbits, according to the conditions...

Lectures on the Philosophy of Modern History: Delivered in the ..., Τόμος 5

George Miller - 1824 - 538 σελίδες
...proportional to the times ; 3. that in the movements of different planets round the same central body the squares of the periodic times are proportional to the cubes of the mean distances. The Rhodolphirie tables of the planetary movements, in constructing which he assisted...

A London Encyclopaedia, Or Universal Dictionary of Science, Art ..., Τόμος 3

Thomas Curtis - 1829 - 852 σελίδες
...sector S Pp by the time, t, and the sector varies as *Ja ; therefore Q varies as i^/07 253. Again, the squares of the periodic times are proportional to the cubes of the transverse axes. For let 6 be the less, </ the greater axis, and a the parameter ; then by conies ad...

Gravitation: An Elementary Explanation of the Principal Perturbations in the ...

Sir George Biddell Airy - 1834 - 252 σελίδες
...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,...

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

1839 - 518 σελίδες
...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...




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