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Thanks mate, this would be great to implement. I did some quick research and came across this paper that looks like they've developed an algorithm to do exactly this (but with geodesics on the ellipsoid).
No hurry, a request came through geodesy@ga for an exe or spreadsheet that could do this. I thought it was a worthwhile tool, so put here so as to not forget about it.
Given two lines, defined by a pair of lat/lons, calculate the point of intersection
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