[Proj] The area of a rhumb line polygon

Noel Zinn (cc) ndzinn at comcast.net
Tue Dec 16 09:01:29 EST 2014

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 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


and the online planimeter


implements this area calculation.  I've also worked out the area when
the edges are great ellipses.  For the formulation, see


An implementation is included in the Matlab package


Comments are welcome.

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