i got too lazy to read the earlier posts, 17 pages is a lot
but, pizza, i want you to draw 3 parrellel lines on a orange peel the goes all the way around and meets itself again (aka, draw a circle, that are parellel.) one in the middle, and one equidistant from the top and the center, one equidistant from the bottom to the center
now i want you to mesure the length around the circles, do this to your best estimate
you should find the equator is longer than the ones near the pole
then cut it perpendicular to the lines with only one cut, that expands half of the whole circumfrence, in which it starts and ends at the poles
now, i want you to make that rectangular, without additional cuts
if you succeed, you will have 3 lines, that are of equal lenghts, but becuase the outer lines represent a smaller distance, due to a smaller original circumfrence, you must compensate for this
hence, if you were to divide the rectangle into fourths, a fourth of the equator, would not be the same length across as a fourth of the outer lines, hence your 1000 km to 200 km
google is makeing the round earth rectangular, but now, it must compensate for the increased length at the poles
hope you can understand this