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Vincent Le Chevalier wrote:
> Alain wrote:
>> It can be possible, but definetly not in plane geometry.
>
> Well it's not possible either in spherical geometry, and I doubt you'll
> find a "reasonable" space that does not respect triangle inequality...
>
> Remember, my argument was not about the angles but about the distances.
> What I'm saying is that if you're looking for a triangle where the
> length of one side is longer than the sum of the lengths of the other
> two sides, you have bigger problems than the square root to worry about
...
>
Actually, it is possible in spherical geometry. You just have to
remember that two points are not sufficient to define an edge on a
sphere: there are two possibilities, one of which goes around the
sphere...
Jerome
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