Substituting these values of _t_ in the equation for ξ, we obtain

_c²_

ξ = _a_ ------------- _x′_

_c²_ - _v²_

In an analogous manner, we obtain by considering the ray of light which

moves along the _y_-axis,

_vx′_

η = _c_τ = _a c_(_t_ - ------------- )

_c²_ - _v²_

where

_y_

------------------ = _t_, _x′_ = 0,

√ (_c²_ - _v²_)

The Principle of Relativity · 第 24 / 203 题