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Theory 1: we proved that a boat disappeared from the hull (bottom) - but if Earth was flat, it would have just become a dot on the horizon.
Theory 2: we proved that we saw different stars if we stood on different parts of Earth - but if Earth was flat, we would see the same stars no matter where we stood.
Theory 3: we proved that if Earth moved across the moon in an eclipse, the shadow we saw would we curved - not flat.