Dmitry Mirimanoff

“ If the contraction does not take place by adopting time of an Einstein system, this system is the median system.
3. Another relation. Let P be a point of the abscissas and in and . There, by replacing parameter by its expression as function of and in the first formula (1) , it is given
by virtue of (3) .
4. The universal time of Guillaume. Let be an arbitrary function of . As is const., is constant. Suppose and put . If we adopt time instead of Einstein time , simultaneity is not altered. Equality (4) remains true, therefore no contraction, equality (5) is written . ”

“ We come, as seen, to the equation that defines the universal time of Guillaume [2] . Therefore the time defined by is the parameter of Guillaume. It only differs from time of the median system by the constant factor .
5. Case of three systems. Imagine three systems conducting a uniform translatory movement parallel to the axes of . Let be the relative velocity of with respect to , of with respect , of with respect , and the parameters of Guillaume. Then we have in virtue of (6)
for example, the abscissa of is given by , that of by . ”