 | Wolfram Schommers - Science - 1998 - 274 pages
...one focus. 2. The vector radius from the sun to the planet sweeps over equal areas in equal times. 3. The squares of the periodic times are proportional to the cubes of the major axes. These three laws distinctly show that the geocentric world view no longer had a basis for... | |
 | Alfred Rupert Hall, Isaac Newton - Biography & Autobiography - 1999 - 236 pages
...supposed that, considering first one and then another of the bodies that circle round the same centre, the squares of the periodic times are proportional to the cubes of the distances, it appears as a consequence that the central force of the nearest [to the centre] must be... | |
 | Harald Iro - Science - 2002 - 466 pages
...for any planet, A/ =* ms, we have T2 "~n3 2 "u ct . This is The third law: The squares of the periods are proportional to the cubes of the mean distances from the sun. The validity of the third law can be checked from the periods and mean distances of the planets from... | |
 | Peter Jarvis, Colin Griffin - Education - 2003 - 466 pages
...one of the foci. (2) A line joining the planet and the sun sweeps out equal areas in equal times. (3) The squares of the periodic times are proportional to the cubes of the mean distances from the sun. Explain the meaning of the various technical words used in these laws. 6. What is it that renders an... | |
 | James Patrick - History - 2007 - 296 pages
...periodic times (the periodic time is the time it takes a planet to go around the sun) of any two planets are proportional to the cubes of the mean distances from the sun. His textbook Epitome of Copernican Astronomy, published in 1620, became the means of disseminating... | |
 | Abel Stevens, James Floy - Periodicals - 1856 - 584 pages
...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,"... | |
 | Smithsonian Institution. Board of Regents - 1859 - 462 pages
...planet, describes equal areas in equal times, in whatever part of the orbit it is located ; the third, that the squares of the periodic times are proportional to the cubes of the mean distances. This third law may justly be regarded as one of the grandest inductions in the whole range of physical... | |
 | Middle States Association of Colleges and Secondary Schools - Education, Higher - 1910 - 460 pages
...the sun at one focus ; the line joining the sun and planet sweeps over equal areas in equal times ; the squares of the periodic times are proportional to the cubes of the mean distances. These laws, as found by Kepler, were empirical : they were *GW Hill. Collected Works, Vol. 1, page... | |
 | 1852 - 960 pages
...Humboldt, "of no inherent necessity, no mechanical, natural law. similar to the one which teaches us that the squares of the periodic times are proportional to the cubes of the major axes, by which the above named six elements* of the planetary bodies and the form of their orbit... | |
 | University of St. Andrews - 1910 - 722 pages
...revolve about a common centre, and the centripetal force vary inversely as the square of the distance, the squares of the periodic times are proportional to the cubes of the major axes. Show that if the different masses of the planets are taken into account this law is not... | |
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The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances... 
