| Discoveries in science - 1859
...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... | |
| 1852
...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... | |
| ...times. And he had found, near the end of his life, a third law connecting the different orbits. (3) **The squares of the periodic times are proportional to the cubes of the** semi-axes major (or of the mean distances). 81. Attempts had even been made to explain the planetary... | |
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