YOu havnt answered the question at all.. regardlesss of the 'projection' the numbers need to add up..
A map is simply a representation of reality - IT IS NOT reality. However, it must represent reality in respect to distances and headings relative to each other.. in other words, the coordinates must be right. Regardless of the 'projection', all projections represent the globe... not somethign flat or concave as one of your more loony members suggest.
If the world is flat, the coordinates on our maps would not be accurate.
Furthermore, given planes have been around for 100 years, and most pilots live in a bubble of ignorance in your opinion, why hasnt anyone flown off the edge of the world yet? Seeing planes fly all over the globe, surely at least one MUST have seen the edge? or flown off it.. just one?