OD′ = OC √(1-(_v²_/_c²_)), therefore (PP/QQ) = (1/√(1-(_v²_/_c²_))

This is the sense of Lorentz’s hypothesis about the contraction of

electrons in case of motion. On the other hand, if we conceive the

second electron to be at rest, and therefore adopt the system (_x′_,

_t′_,) then the cross-section P′P′ of the strip of the electron parallel

to OC′ is to be regarded as its length and we shall find the first

electron shortened with reference to the second in the same proportion,

for it is,

The Principle of Relativity · 第 105 / 203 题