... but those fallacies relate to the practice of the scientific method, not religious faith.
Of course the belief in a flat earth at the center of the universe did come from religious belief, not science, but the scientific method weeded out those bad hypotheses. The belief in God was never based on the scientific method so there was never any possibility of correcting it through science.
I can give you dozens of examples of isolated populations believing in a deity but only a few examples of European idiots believing the world was flat.
Of course the belief in a flat earth at the center of the universe did come from religious belief, not science ...
Usually from neither. It came from "common sense".
One piece of evidence for a round earth is the shape of the earth's shadow on the moon - but that only works if you believe/know that it is the earth's shadow. That belief/knowledge depends on cosmology which often depends on religion. In a cosmology which has the moon's phases caused by the gods (eating the moon or whatever), you might find the best evidence for the earth's shape by looking out the window.