Here's a simple mathematical breakdown of FE's sunlight and path over their Flat Earth.....
the FE model of the sunlight and it's path above the earth fails for the sunrise and sunset times in the southern hemisphere such as South America, Southern Africa, New Zealand, etc.
According to the theory of FE sun's path shown here from this Flat Earth link
http://www.sacred-texts.com/earth/za/img/fig62.jpg The outer edge of the sun's path (near Antarctica) will travel over the earth much faster than the inner edge, obviously, and with the outer edge of the circle covering less area, places like New Zealand will only get about 3 or 4 hours of light according to your FE's sun's path in a 24 hour period.
BUT...... the sunrise and sunsets for any towns in that part of the earth still get over 10 hours of sunlight, even at this time of year, which is their winter season.
Check out the sunrise and sunset times for Invercargill, New Zealand for today.
http://www.weather.com/outlook/travel/businesstraveler/local/NZXX0016?lswe=invercargill,%20new%20zealand
Sunrise: 7:47
Sunset: 5:56
over 10 hours of sunlight (much greater than 4 hours)
Explain this!!!