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Old 5th January 2006 | 03:46
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compressor stall
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From: 500 miles from Chaikhosi, Yogistan
Centre of three positions on earth

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 )
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