# The area of a rhumb line polygon

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## The area of a rhumb line polygon

 The calculation of the area of a geodesic polygon has been included in GeographicLib since v1.4 (2010-09). In the latest version v1.39, I've also included the equivalent calculation when the edges of the polygon are rhumb lines.  The formulation is given in    http://geographiclib.sf.net/html/rhumb.html#rhumbareaand the online planimeter    http://geographiclib.sf.net/cgi-bin/Planimeterimplements this area calculation.  I've also worked out the area when the edges are great ellipses.  For the formulation, see    http://geographiclib.sf.net/html/greatellipse.html#geareaAn implementation is included in the Matlab package    http://www.mathworks.com/matlabcentral/fileexchange/47898Comments are welcome.    --Charles _______________________________________________ Proj mailing list [hidden email] http://lists.maptools.org/mailman/listinfo/proj
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## Re: The area of a rhumb line polygon

 Thanks for the Matlab versions, Charles.  Why R2014b?  (I'm still running R2014a, but planning an upgrade to R2015a, which will include the new World Magnetic Model.) Noel Noel Zinn, Principal, Hydrometronics LLC +1-832-539-1472 (office), +1-281-221-0051 (cell) [hidden email] (email) http://www.hydrometronics.com (website) -----Original Message----- From: Charles Karney Sent: Tuesday, December 16, 2014 7:14 AM To: PROJ.4 and general Projections Discussions Subject: [Proj] The area of a rhumb line polygon The calculation of the area of a geodesic polygon has been included in GeographicLib since v1.4 (2010-09). In the latest version v1.39, I've also included the equivalent calculation when the edges of the polygon are rhumb lines.  The formulation is given in    http://geographiclib.sf.net/html/rhumb.html#rhumbareaand the online planimeter    http://geographiclib.sf.net/cgi-bin/Planimeterimplements this area calculation.  I've also worked out the area when the edges are great ellipses.  For the formulation, see    http://geographiclib.sf.net/html/greatellipse.html#geareaAn implementation is included in the Matlab package    http://www.mathworks.com/matlabcentral/fileexchange/47898Comments are welcome.    --Charles _______________________________________________ Proj mailing list [hidden email] http://lists.maptools.org/mailman/listinfo/proj  _______________________________________________ Proj mailing list [hidden email] http://lists.maptools.org/mailman/listinfo/proj