Out with the spheical trig textbooks for this one.....
How do you calculate the Centroid (the point from which each vertex is equidistant) of a triangle formed by three points on the earth's surface that are connected by great circles?
Euclidian approximations won't cut it at these latitudes with the distances being covered. I want to establish a new central point that is equidistant from three existing locations.
Once that is done, what about the centroid of a polygon and finally a pentagon?
Thanks in advance, and apologies in advance if it keeps you up half the night (like is has done me already

)