The stars movement:
The earth rotates at a constant speed.
The stars will therefore move in the sky at a constant speed due to perspective.
Near the horizon, the stars will seem to slow down / compress due to refraction being way higher when looking through atmosphere near the surface of earth.
Perspective:
Perspective is extremely well understood and extremely simple, and I do not get why you constantly bring up ancient greeks...
We know that parallel lines will never touch (simple geometry), and we know that perspective will only let them seem to converge at a point at infinity (but they never will)
We also know that with our eyes and cameras limited resolution, parallel lines will seem to converge much earlier depending on their closeness and the closeness of the observer.