Page:TolmanNon2.djvu/5

Rh for the corresponding component velocities the values

$\frac{u_{x}-\phi}{1-\frac{u_{x}\phi}{c^{2}}},\ \frac{\sqrt{1-\phi^{2}/c^{2}}u_{y}}{1-\frac{u_{x}\phi}{c^{2}}},\ \frac{\sqrt{1-\phi^{2}/c^{2}}u_{z}}{1-\frac{u_{x}\phi}{c^{2}}},\ \frac{v_{x}-\phi}{1-\frac{v_{x}\phi}{c^{2}}},$ &c.,|undefined

given by Einstein's transformation equations.

Since the laws of the conservation of mass and momentum must also hold for the measurements of this new observer, we may write the following new relations corresponding to equations 1 to 4:-