Flat Earth can predict and calculate nothing.
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We've been able to do that for millennia (at least). It has nothing to do with the believed shape of the earth. It has to do with watching the lights in the sky, recording them, and noticing the cyclical pattern. The shape of the world isn't involved, as much as you may want it to be.
Who did it and what formula did they use?
I'm looking forward to hearing your excuse for not answering this question.
Lol, you don't need a formula. You need a chart. Most (if not all) of the ancient civilizations had such charts (many built them into their buildings - archeoastronomy).
One of the earliest known examples of a "formula" based mechanism was the antikythera device.
Always prepare to be disappointed. We all know what happens when you assume....
Cool story.
Show those charts.You won't.
The formula requires Earth to be round. Why does it work?
You can't find charts of sunrise and sunset times? Where have you looked?
This is your mistake. It is akin to saying the geocentric formula(s) require the earth to be the center of the universe. I hope you are beginning to understand my analogy.