On Jan 6, 10:49 pm, Markw65 <[email protected]> wrote:
> > No.
> > "A spherical triangle is a figure formed on the surface of a sphere by
> > three great circular arcs intersecting pairwise in three vertices"
> > From:http://mathworld.wolfram.com/SphericalTriangle.html
>
> Thats why I put the "" around "triangle" - because its degenerate.

It's not "degenerate". It's a different shape altogether, called a
"lune".


> But to be honest, Im not sure your definition is particularly
> authoritative - simply because it *does* exclude degenerate triangles.

Search for other definitions until you find a site you trust and show
us a link.
All the definitions I can find refer to three great circles, not more
not less.


> Doesnt really affect anything either way. Just move the last point to
> 179.99999999999, and everyone's happy.

Yes, it does.
If you move the last point away from the anti-meridian, as you suggest
here, then you have a triangle instead of a lune.

In any case, this discussion started when you challenged Mike's method
for finding the center of gravity, saying
---------------
"Suppose the three points are (lat,lng) 0,0; 87,0; 0,180.
Your "center of gravity" would be 29,60 - which isnt even on the same
great circle. "
---------------
But what "same great circle" are you referring to?
"same great circle" as what?
I don't see any problem with Mike's method.

--
Marcelo - http://maps.forum.nu
--












>
> Mark
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