-space respectively. This preservation of the magnitude of a special velocity (however directed) cannot arise with the traditional formulae for relativity. It practically means that waves or other influences advancing with velocity
as referred to the space of any consentient set of the Newtonian group will also advance with the same velocity c as referred to the space of any other such set.
10.5 At first sight the two formulae for transformation, namely the traditional formulae and the Lorentzian formulae, appear to be very different. We notice however that, if
and
be the two consentient sets and if
be the velocity of