Page:Aether and Matter, 1900.djvu/203

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place until it is proved to be in definite contradiction, not removable by suitable modification, with another portion of it.

Application to moving Material Media: approximation up to first order

106. We now recall the equations of the free aether, with a view to changing from axes (x, y, z) at rest in the aether to axes (x', y', z') moving with translatory velocity v parallel to the axis of x; so as thereby to be in a position to examine how phenomena are altered when the observer and his apparatus are in uniform motion through the stationary aether. These equations are

When they are referred to the axes (x', y', z') in uniform motion, so that , then become , but d/dt becomes : thus

where

We can complete the elimination of (f, g, h) and (a, b, c) so