Okay, I'm sorry I too can't put my meaning well into words clearly...let us start with something easier to do: Get 2 coins 1 much larger than the other, put the bigger one on the table, while you hold the smaller one and look at its edge directly perpendicular above the coin on the table while standing until the circles of both coins coincide. This same principle should also hold true for the Earth's horizon being supposedly globe(circular).
But if instead of coinciding you see a straight line(your horizon) intersecting the curve of your scaled down circle Earth(the cardboard you drew and cut), then the globe does not exist.
I got the two coins part but I can't understand how you can do the same thing with something HUGE like earth when you stand on it and something relatively small that you can hold on your hand while you stand on earth. I guess this could work if we were able to move far away from earth, but again there might be something that I still don't understand.
If you could find some picture or link where this idea originates from maybe it could help clear things up