these two points at the time $t = 0$ can be shown to be
\begin{eqnarray*}
-x_{\mbox{(begining of rod)}} &=& 0 \overline{\sqrt{I-\frac{v^2}{c^2}}} \\
-x_{\mbox{(end of rod)}} &=& 1 \overline{\sqrt{I-\frac{v^2}{c^2}}}
+x_{\mbox{(begining of rod)}} &=& 0 \sqrt{I-\frac{v^2}{c^2}} \\
+x_{\mbox{(end of rod)}} &=& 1 \sqrt{I-\frac{v^2}{c^2}}
\end{eqnarray*}
~
that motion. the contracted length being proportional to the
expression
-$$\overline{\sqrt{I-\frac{v^2}{c^2}}}.$$
+$$\sqrt{I-\frac{v^2}{c^2}}.$$
This, hypothesis, which is not justifiable by any electrodynamical
facts, supplies us then with that particular law of motion which has