A set of equations for transforming the position and motion parameters from a frame of reference with origin at O and coordinates (x,y,z) to a frame with origin at O′ and coordinates at (x′,y′,z′). They are:
x′ = x − vt
y′ = y
z′ = z
t′ = t
The equations, which conform to Newtonian mechanics, were named after Galileo Galilei. Compare Lorentz transformations.