On Jan 7, 9:28 pm, Markw65 <[email protected]> wrote:
> For the last example I gave you, Mike's center of gravity isnt even
> *in* the triangle (its *miles* away). You cant put a string through
> the triangle to hang it, let alone see if it balances!

Mike's example is valid for triangles, not necessarily for other
shapes.
Your example is not a triangle. (degenerate or not)

The "flattened" triangle would have an internal angle sum of 180
degrees, but the definition states that a spherical triangle has an
internal angle sum greater than 180 and smaller than 540 degrees.
(between pi and 3 pi radians).
If you draw a proper spherical triangle and do the experiment, Mike's
formula gives you a point, inside the triangle, through which to pass
the string and it balances.

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


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