A transformation T { ∗ ∗ , v } is not consistent if T { ∗ ∗ , v 1 + v 2 } ≠ ≠ T { ∗ ∗ , v 1 } + T { ∗ ∗ , v 2 } where v 1 and v 2 are velocities. A consistent transformation will produce the same results when transforming to a new velocity in one step or multiple steps. It is not possible to have a consistent Galilean transformation that transforms both the magnetic and electric fields. There are useful consistent Galilean transformations that may be applied whenever either the magnetic field or the electric field is dominant.