Known as the Michelson and Morley experiment, this was an
experiment to measure changes in the speed of light. Supposedly, as
Earth travelled through the Ether, light would go faster in one
direction than in the other (because of the relative velocities).
The experiment didn't produce the expected result - the speed of
light was found to be always the same. Today, this is an accepted
fact - that the speed of light is the same for all observers - and
is one of the bases for the Theory of Relativity.