If they knew the earth rotated, then they could assume that noon happened at different times at different locations. But did they have a way to prove this without being able to travel or communicate fast enough to observe the effects?
In: Mathematics
There is no need to physically prove it because of the reason you gave. They didn’t ” assume that noon happened at different times at different locations.” they knew that noon happened at different times. Of course by ‘ancient people’ it would only be a select few I would imagine. As in Greeks, Romans, Chinese, not sure who else. An interesting question though would be COULD they physically prove it?
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