^^^ On a flat earth, the atmosphere is essentially at the same thickness throughout the FE. This means that no matter where you stand on the FE, if you look straight up, there is essentially no refraction aberration.
1. If the sun is something like 3000 miles wide, and;
2. The sun is directly over head for some guy who is looking straight up at its center, and;
3. There are two guys, one 1500 miles to the center guy's exact left, and the other 1500 miles to his exact right, and;
4. These guys are looking straight up as well;
5. Their straight-up lines of sight will be parallel to each other, and;
6. The middle guy will be looking at the center of the sun;
7. While the other two guys will be looking at opposite edges of the sun.
There is no other way no matter how far the sun is away. All that will happen if the sun is far away is that you won't be able to tell with the naked eye at which part of the sun you are looking. But if you use perfect telescopes with each of these guys, the middle guy will always be seeing the exact center of the sun. The other two guys will always be seeing opposite edges of the sun.
That's the only way math and trig will work on a FE as it is described in this thread by FE people, and especially by
notbatman.Way back in the thread, the FE people showed us that the top center of the supposed dome is about 18,000 miles above the earth, roughly over the North Pole. This means that for them the sun is less than 18,000 miles away from the part of the earth it is directly over. The dome is opaque steel, so the sun can't be on the other side of it.
At less than 18,000 miles, the two guys should be able to see their edges of the sun with reasonably small, backyard telescopes that are pointed straight up. Since this is never the case, there is a big flaw in the thinking of FE people. No matter the size of the telescope, when it is pointed straight up at the sun, the sun's center is always seen by all 3 guys, when the center of the sun is directly above the middle guy.
Let's see the clear working math, and the scientific theories in detail, that FE people use to show that the standard calc I provide in this post is wrong. Anybody can say just about anything. But the calc above proves that FE people are wrong in the FE thins they say.