The ancients had an estimate (accuracy notwithstanding) for the diameter of the earth. It's not hard to suss out.
But there is an Earthbound layman way to witness it for yourself, with your own eyes. For me, here in Toronto, I just have to go around Lake Ontario to Niagara Falls, and then look back across the lake toward the CN Tower.
You will see no sign of Toronto Island, nor the Skydome, nor the majority of midrises. But they are in fact, there. You know this because you saw them just 45 minutes before you arrived to Niagara Falls for this experiment.
A lot of it is just below the horizon: You can see about 1/2 of the CN Tower's height, and a good handful of the highrises, so you know it's not an illusion.
For that matter, from Toronto Island you can only see a couple of Niagara Falls' tallest structures peeking over the horizon. So the observation works both ways, although stronger when looking towards Toronto - Toronto is obviously a much taller city afterall!
How does one explain that without admitting you can literally see that the surface of the water is curved?
So it doesn't take a lot of effort to see Earth's curvature, even with minimal scientific tools. You don't even need binoculars to witness this one. Just a car and 45 minutes of your time.
However, its entirely true of stories in Antarctica. This is because all the nations of the world agreed that they should keep a whole continent pristine - with no one ever allowed free access. Incredible.
OTOH, I can go to Canada - I could explore the forests there, travel up rivers, etc. Or, even try to over-winter there, if I wanted.
Whether that would be wise to try or not - I cannot even consider this for antarctica. It is out of bounds.
> The treaty set aside Antarctica as a scientific preserve and established freedom of scientific investigation and environmental protection.
In yet another triumph of doublethink, it says "freedom of scientific investigation and environmental protection" which means that people are not allowed there.