 | Hamilton Association for the Cultivation of Science, Literature and Art - 1908 - 644 páginas
...of all the others follows as a natural consequence of the discovery of Kepler's great law, that : " The squares of the periodic times are proportional to the cubes of the mean distances." The task, therefore, is only to find out the scale upon which the solar fysteni has... | |
 | George Forbes - 1909 - 240 páginas
...Motibus Stelke Martis, Prague, 1609. It took him nine years more ' to discover his third law, that the squares of the periodic times are proportional to the cubes of the mean distances from the sun. These three laws contain implicitly the law of universal gravitation.... | |
 | Federigo Enriques - 1914 - 446 páginas
...The areas described by the radius vectors are proportional to the time taken in describing them. 3. The squares of the periodic times are proportional to the cubes of the major axes. The same laws apply to the relative motions of the satellites of Jupiter and of other planets, except... | |
 | Federigo Enriques, Katharine Head Royce - 1914 - 416 páginas
...The areas described by the radius vectors are proportional to the time taken in describing them. 3. The squares of the periodic times are proportional to the cubes of the major axes. The same laws apply to the relative motions of the satellites of Jupiter and of other planets, except... | |
 | 1919 - 878 páginas
...third, that the distances of the various planets are so related to the periods of their revolution that the squares of the periodic times are proportional to the cubes of the mean distances from the sun. From these laws Newton made the following deductions : He inferred from... | |
 | Paul Carus - 1920 - 644 páginas
...T is proportional to a3/2 or that T2 is proportional to a8. This expresses Kepler's third law that the squares of the periodic times are proportional to the cubes of the major axes ; and, in the fourth theorem of the tract of 1684, Newton proved this law of Kepler and added a note... | |
 | Walter William Bryant - 1920 - 74 páginas
...exactly the sesquiplicate proportion of the mean distances of the orbits," or as generally given, " the squares of the periodic times are proportional to the cubes of the mean distances." Kepler was evidently transported with delight and wrote, " What I prophesied two and... | |
 | Charles Ernest Weatherburn - 1921 - 218 páginas
...ellipses about the same centre of force, and with the same intensity (p) of force, the squares of their periodic times are proportional to the cubes of the major axes of their orbits, This relation was observed by Kepler in the case of the planets. To find the speed v... | |
 | Harry Fawcett Buckley - 1927 - 288 páginas
...any two planets is exactly the sesquiplicate proportion of the mean distances of the orbits," that is the squares of the periodic times are proportional to the cubes of the mean distances. In the introduction to his De Motibus Stella Martis he endeavoured to account for the... | |
 | Royal Philosophical Society of Glasgow - 1927 - 402 páginas
...distances of the various planets from the sun, and the times which they take to revolve round the sun — the squares of the periodic times are proportional to the cubes of the mean . T,2 1? T* distances, ie — r= — * = — s = etc. rrr 1 1 l2 l3 From these laws of Kepler,... | |
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The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances... 
