Easting and northing cf. Latitude and longitude

I don't know whether this will help or not, but some time ago I had to
implement a routine to determine the "great circle" distance between two
geographical coordinates using the Haversine formula.  I realise that
this is the opposite of what you want, but it might be possible to work
out how to reverse the formula.  The relevant details are at:

http://www.census.gov/cgi-bin/geo/gisfaq?Q5.1

or at least were when I programmed the solution.

Jim


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