No one has mentioned constellations yet, let’s stick with eclipses for now.

I thought that the pyramids were based off of the stars (and their predictions of eclipses as well).  I think I remember hearing that the North Star was particularly important in the alignment of one of their great pyramids.  (They were Sun and star worshipers after all.)

https://en.wikipedia.org/wiki/Egyptian_astronomy

Eratosthenes was Egyptian (he lived around 200) and was one of the first to do many measurements of the earth according to a spherical shape.  It would be interesting to know more of his works.

Eratosthenes assumed the Earth was a sphere, assumed the sun rays came parallel to the ground, and based on those false assumptions calculated what the Earth's circuмference would be if it were a ball.

His experiment is perfectly consistent with the assumption of a local Sun and rays coming in at an angle at the sticks.

If you're interested in the topic of FE you should check out Taboo Conspiracy's channel.

Nonsense like the idea that Eratosthenes somehow proved the Earth is a ball has been refuted ages ago but globers refuse to acknowledge it.

I believe that Babylonians COULD have tracked eclipses using the Saros cycle ... IF they had more data, readings/observations from different places, since their predictions of eclipses were for those that they could see.

In any case, the bottom line is that if you have enough data and do enough math, you can calculate any kind of recurring, periodic movements, even if from different coordinate systems.

You had Tycho Brahe with his geocentric-based Tychonic circles, and most planetarium software is actually geocentric.

In the end it doesn't matter whether the sun and the moon are the same size (roughly, as  many FE conceive of them) or whether the sun is four times as large and four times farther away (such as when Greek astronomers, who also predicted eclipses, consider it to be a million miles away) or 400 times as large and 400 times farther away, as those amount to the same thing.

If you have enough data points, e.g. readings / observations, and do enough math, you can predict anything that has a regular geometric / periodic / recurring movement.

There are some anomalies that are not fully explained with regard to modern science's claims about how eclipses happen, so their model is far from perfect either.