(the actual length changes a couple feet each year. I don't know why). And, again, the lengths are difference in FET.
The earth is fatter around than it is over the top+bottom because the earth spins on it's axis. It's the exact same phenomenon behind Saturn's rings. Whenever you have debris within' the roche radius, debris spirals into a planet in a perpendicular fashion to it's axis. If you take a wet ball and and spin it end-over-end in the air, you'll notice the water flings off in a path perpendicular to its rotational axis. Also, if you spin anything big enough with enough velocity, it will distort. Especially as big as the world is and as fast as it rotates. You just proved the earth is round.
Let's get back to this map and how the measurements don't add up and the length of the green line. I took the map Zogg uploaded and gave it a little Trig.
Of course I can't measure miles on my computer monitor, so I blew the image up to it's actual size in photoshop (my display is 1280x1024, which proves an even 1:1 ratio) and did some measurements. The red line drawn between Sydney and Cape Town is 9.63". Now, we can all agree that the North Pole is the center of the map. The distance between Cape Town and the North Pole as well as the distance between Sydney and the North Pole is 5.25". Now that we have a triangle with known measurements of all 3 sides, we can deduce that the angle between the two distances is 133 degrees. Since the distances are equal and they are the same distance from the center, we can now assume a radius of 5.25". Since we have 2 lines of radius with a given length, and we know the degree of separation between the two, we can figure out the distance of the arc that joins them. Thus, we can deduce that the green line roughly measures 12.16". So, how long is that? Well, if 9.63" = 6,843 miles, we can determine mileage that would be covered in 12.16" using a ratio of 1 to 710.59. This Makes the green flight path a whopping 8,640 miles. So, according to the flat earth map, roudn earth pilots are taking an 8,640-mile journey in the time it takes to travel only 6,843 miles. BUT... if you measure the radius between the center point and the middle of the green arc, you'll get a wider radius. This means that the length of the green line is actually GREATER than the values I've provided.
8,640 > 6,843. Thus, the green line is longer. What's more, the distance from Los Angeles to Cape Town is actually over 9,000 miles, which should be LONGER than the green line indicated on the map (which is the actual used flight path). However, the distance between L.A. and Cape Town on the FE map only measures around 8", which is 33% SHORTER than the used flight path between Sydney and Cape Town.
What Zogg is indicating in this map is that it takes a shorter amount of time to complete the used flight path between Sydney and Cape Town than it takes to complete the used flight path between LA and Cairo. But, according to the map, it should take twice as LONG because the 4.75" line connecting LA and Cairo on the flat earth map should only translate to around 3,375 miles. The Flat Earth Map just doesn't work.
So, I've explained how the map doesn't work in real world math. It's not "Round Earth math," it's called geometry. If the math I've used works to explain the measurements of every single circle in the world, why the hell would it change when it comes to measuring a circular, flat world... unless the given shape of the world is incorrect? The only way proven theories of geometry apply to Earth like it does to every other thing in existence is if the world is spherical... which... amazingly is EXACTLY how it appears when you look at it.
Now, you'll have to forgive me for not providing the same measurements in FE math... where you use different laws of geometry to measure the world than you do to measure EVERYTHING ELSE. FE'ers made up flat earth math, so FE'ers are the only ones who know how to do it. If you can explain the distances provided using "flat earth math (which just... sounds incredibly STUPID even THINKING about the very term)," we would love to see it. Don't just give us a map that doesn't look anything like the world and say, "we can't prove it, and we can't explain why it's different than every other logical conclusion, but it just is because... well, prove it isn't!"