[Proj] The area of a rhumb line polygon

[Noel Zinn (cc)]

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)
noel.zinn at hydrometronics.com (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#rhumbarea

and the online planimeter

   http://geographiclib.sf.net/cgi-bin/Planimeter

implements 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#gearea

An implementation is included in the Matlab package

   http://www.mathworks.com/matlabcentral/fileexchange/47898

Comments are welcome.

   --Charles
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