| Charles Sanders Peirce - Philosophy - 1958 - 446 pages
...maturest deliberation a poor girl eighteen years younger than himself. At forty-six, he discovered the **"third law," that the squares of the periodic times...are proportional to the cubes of the mean distances,** not a discovery involving any difficult reasoning, yet leading at once, had he only been able to see... | |
| Edwin Welch - 1973 - 229 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... | |
| Jagat Narain Kapur - Mathematical models - 1988 - 259 pages
...If Ti, T2 are the time periods of two planets with orbital radii ri, r2, then 7?/Г| = r]lr\, (8) so **that the squares of the periodic times are proportional to the cubes of the** radii of the orbits. (c) Motions of Satellites Satellites move under the attraction of the Earth in... | |
| Wolfram Schommers - Science - 1994 - 163 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 reflect that the geocentric world view no longer had a basis... | |
| Wolfram Schommers - Science - 1998 - 246 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, Sir Isaac Newton - History - 1999 - 215 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 - 442 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 - Adult education - 2003 - 456 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 - Juvenile Nonfiction - 2007 - 1663 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 - 1856
...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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