On Jan 7, 10:47 am, Markw65 <[email protected]> wrote:
> I have provided counter examples. What better proof could there be?
Bad form following up to myself, but here's another reference:
http://www.itu.int/ITU-R/index.asp?category=information&rlink=faq&faq=broadcasting&ID=ALL&lang=en
"There is no general formula for the centre of gravity and the surface
of a polygon (or set of polygons) on a sphere. However, the centre of
gravity of a spherical triangle is known to lie on the intersection of
its medians"
So, given that:
- If the three points form a spherical triangle, their center of
gravity has to lie within the triangle (duh!)
- If three points lie on a great circle, their center of gravity has
to lie on the same great circle
I've already made both those claims, but just providing a reference to
back me up.
So *all* of my examples clearly demonstrate the flaw in the original
formula.
I am now done with this thread.
Really :-)
Mark
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