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The images have been taken from page no.74,75 and 76, special relativity , A.P.French,1968

I understood that A_{1}' and C_{1}' are not simultaneous in S -frame.

But I don't understand the principle on whose basis it is claimed that A_{1}' and C_{1}' are simultaneous in S' -frame.

Here, the simultaneity is defined by the line A_{1}C_{1}in S -frame. I didn't understand this ,too.

The simultaneity should be defined by two points A_{1}and C_{1}in S -frame. Shouldn't it?

Can anyone please explain these two points?

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# I Spacetime diagram

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