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That line got me mind-boggled too. But I realized the English people spoke and specially wrote back in the day was quite verbose and the sentence construction was obviously quite elaborate.

To help you out, I think that line equates to - "Considering two coordinate systems that are moving in uniform motion of parallel translation relative to each other ("which we now conveniently call an Inertial Reference Frame"), the laws governing the movement of a physical body is independent of which of the 2 systems you choose."

Which also equates to - "The laws of physics are the same for all observers in uniform motion relative to one another "

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