Mintaka is a very special star in a very special constellation. It is the right-most of the three stars in Orion's Belt. Orion's Belt in general and Mintaka in particular are very useful for navigation at sea. That's because Orion's belt rises in the East and sets in the West. Mintaka does so almost exactly. It rises within a degree of due East and sets within a degree of due West. That's very handy; especially since this happens from anywhere on Earth. No matter where you are, Mintaka rises due East and sets Due West.
Okay, so here is the point of this little navigation lesson: Take two cities on nearly the same line of longitude one north of the Equator and one south of the Equator. For an example, let's use Boston, Massachusetts in the USA and Santiago, Chile. They are within a degree of eachother. In each of those cities, Mintaka would rise about the same time(very soon, actually. Probably within the hour) from due East. Now here is my question:
On a Flat Earth, how could Mintaka rise from due East in Boston, Massachusetts and Santiago, Chile at the same time?