I read that the form of a galilean transformation on the point (t,x) is the following:
constant velocity transform by velocity v: (t,x) ---> (t,x+vt)
translation transform by (t0,x0): (t,x)--->(t+t0,x+x0)
rotation transformation by rotation matrix R: (t,x)--->(t,Rx)
and that it is based...