I think the flat earth theory primarily stems from 2 thoughts
1. That you should be able to see the curvature of the Earth
2. The curvature of the Earth should prevent you from seeing certain sites from certain places.
The thing is you won't be able to see the curvature of the Earth unless you are far enough away to see the whole circumference of the Earth simply by symmetry.
Also when you see this footage that shows "no curvature" there are a couple of very reasonably explanations.
1.Its over the sea. Light travels in a straight line when it's in a vacuum, not when it's in air - especially air with a lot of moisture in it. If you submerge your foot and a bit of your leg in the bath and look at your leg it will appear kinked. This is because light travels significantly slower in water. When light travels over the top of the sea it passes through lots of water droplets, which will help curve the light around the Earth.
2. It's over land and the Earth isn't a perfect sphere. Some parts of it are pretty flat, some bits are more curved.
3. You aren't taking the photo from the ground, you are taking it from approximately 5 ft up and taking photos of skyscrapers. That's can be enough to see beyond some of the curvature of the Earth.
If you're confused just think about the sun setting. Does the sun get smaller and smaller (ie getting further and further away from our point on a flat earth) or does it stay pretty big and seem to disappear down under the horizon?
If the Earth were flat you should be able to see the sun over Asia from the UK at night using a telescope, yet you can't.
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