The ball Earth was never proven.
Oh of course it has. Your "proofs" for a flat earth are absurd.
These proofs (this list is by no means exhaustive) have been mentioned here in this thread, but in case you want to review them all in one place:
Top10 Proofs the Earth is not Flat
http://www.smarterthanthat.com/astronomy/top-10-ways-to-know-the-earth-is-not-flat/
1. During a lunar eclipse, the shadow of the earth on the moon is circular, and it requires the sun to be behind the earth.
2 and 3. The sailor up in the crows nest can spot land before those down in the deck because he can see farther over the edge of the horizon, and the mast of a ship is seen from the shore AFTER the ship has disappeared beyond the horizon.
4. Varying star constellations.
5. Two stick upright in the ground produce different shadows rather than the same shadow.
6. a. Planes can travel far in ANY direction and not fall off.
b. Riding in a plane, one can see the curvature of the horizon.
7. We know from telescope use that other planets are spherical. It would be absurd to assume that our own planet were any different.
8. "The sun and flat/spherical Earth: If the sun was a “spotlight” (very directionally located so that light only shines on a specific location) and the world was flat, we would have seen the sun even if it didn’t shine on top of us (as you can see in the drawing below). The same way you can see the light coming out of a spotlight on a stage in the theater, even though you – the crowd – are in the dark. The only way to create two distinctly separate timezones, where there is complete darkness in one while there’s light in the other, is if the world is spherical."
9. Center of Gravity. If the earth were flat, gravity would be pulling you towards the center of the plane, NOT straight down. The fact that we are pulled straight down speaks to a sphere.
10. Pictures from space, and manned missions into space.
Honorabled mentions:
* Biruni calculated the circumference of the earth from triangulation.
* The Bedford Level Experiment was done to prove that the Earth was FLAT. It was repeated numerous times, proving every time that the earth was a sphere.