Book · Relativity
Page 39 of 212
Author: Albert Einstein
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It is a different matter when the distance has to be judged from
the railway line. Here the following method suggests itself. If
we call A′ and B′ the two points on the train whose distance
apart is required, then both of these points are moving with the
velocity v along the embankment. In the first place we require to
determine the points A and B of the embankment which are just
being passed by the two points A′ and B′ at a particular time
t-judged from the embankment. These points A and B of the
embankment can be determined by applying the definition of time
given in Section VIII. The distance between these points A and B
is then measured by repeated application of the measuring-rod
along the embankment.
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