By way of background: Consider the history of invariance with
respect to boosts (i.e. change in velocity of reference frame).
We can trace that back to 1632. Galileo gave a magnificently
clear and detailed explanation.
My question pertains to translation invariance, i.e. resetting
the zero position of the coordinate system. This seems simple,
although it is quite nontrivial.
Galileo did not find it necessary to discuss this. Most people
just take it for granted. I have been unable to find anything
about the history. Who was the first person to call attention
to this? Who was the first to use it in a systematic way?