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Is the Moon flat also, then?
The moon is definitely round, so how can the earth be flat?
Spicoli mentioned this awhile back, and it's a good question to ask.

But it's like looking at a pool table and thinking because the balls are round, then the table must be round as well.
Not really because you can see the straight edges on a pool table where as the straight edge you see as the horizon is a disc slice section of the sphere that is earth, not your distortion of your eyes telling you it is flat.
It is the exact same thinking, of course we can see the edges of the table, but we are not that size in relation to the earth. An ant on a pool looking at the balls, then thinks the table has to be round. That's the thought pattern.