How do we know Earth is round?

You're standing on the ground right now, and it feels completely flat. The floor doesn't curve under your feet. The horizon looks like a straight line. So how does anyone know the Earth is actually round — like a giant ball spinning through space?
Here's the first clue: when a ship sails away from shore, it doesn't just get smaller and smaller until it's a tiny dot. Instead, the bottom of the ship disappears first — the hull vanishes below the horizon while the sails are still visible. Then the sails sink down too, like the whole ship is sliding behind a curve. If the Earth were flat, you'd see the entire ship shrinking evenly until it was too small to see.
