Discussion:  All Topics 
Topic:  What is a triangle? 
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Subject:  RE: What is a triangle? 
Author:  rabeldin 
Date:  Jan 2 2005 
substitution of a definition in terms of sides for one in terms of angles may
lead to errors when we generalize to nonEuclidean spaces.
We say "triangle" and think "trigon". In Euclidean space they mean the same
thing but in all nonEuclidean spaces?
In any case, I am more concerned with the general class of error involved in
using informal definitions. This is but a single example of such an error.
 
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