according to the new formulæ. This is the addition theorem of velocities according to the new theory. It gives us immediately the amount observed in Fizeau's experiment for the velocity of light in flowing water. Aberration and the Doppler effect follow just as readily to the correct amount. A detailed discussion of these questions is to be found in every account of the "special" theory of relativity (cf. the references given in [Note 2]).
[Note 4] (p. 12). Ph. Frank and H. Rothe, Ann. d. Phys., 4 Folge, Bd. 34, p. 825.
The assumptions for the general equations of transformation by which two systems
and
' that move uniformly and rectilinearly with the velocity q with respect to each other sure connected are as follows:—
1. The equations of transformation form a linear homogeneous group in the variable parameter
