Summary

Portrait of Isaac Newton Isaac Newton The Mathematical Principles of Natural Philosophy…

For to the Earth they appear sometimes direct, sometimes stationary, nay and sometimes retrograde. But from the Sun they are always seen direct, and to proceed with a motion nearly uniform, that is to say, a little swifter in the perihelion and a little slower in the aphelion distances, so as to maintain an equality in the description of the areas. This is a noted proposition among astronomers, and particularly demonstrable in Jupiter, from the eclipses of his satellites; by the help of which eclipses, as we have said, the heliocentric longitudes of that Planet, and its distances from the Sun.
Source: Wikisource

Portrait of Isaac Newton Isaac Newton The Mathematical Principles of Natural Philosophy…

And the same thing is demonstrable of Jupiter and Saturn, from their appearing full in all situations; for the shadows of their satellites that appear sometimes upon their disks make it plain that the light they flung with, is not their own, but borrowed from the Sun.
Phenomenon IV. That the fixed Stars being at rest, the periodic times of the five primary Planets, and (whether of the Sun about the Earth, or) of the Earth about the Sun, are in the sesquiplicate proportion of their mean distances rom the Sun.
Source: Wikisource

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