We can figure out nothing. All we can do is follow the observations to a conclusion under the model already supposed. Eclipses prove nothing: they could be evidence against a model if that model had no explanation, but beyond that the only way to interpret them is through the lens of the model already held.
Under DET, we can work out relative distances and sizes of the Sun and moon, and their locations with respect to a point on Earth (giving us their position in circular polar coordinates, with one unknown parameter for radius). We can tell nothing about the shape of the Earth as the Earth's shape and subsequent model needs to be known in order to interpret the observations.
I don't know what kind of evidence or sources you want. What I say is pure logic, I'd hope that requires no evidence. The only source for DET I may give is in my sig.
Beyond that, it seems like a pointless claim: FEers will not be able to provide sources because the only sources you respect will come from a location that favors RET.