Geometry
Geometry
Geometry
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Yes but what if one side is so slightly curved that it's invisible to the naked eye? Then your total angles would be 179.99 degrees and it's not a triangle.
Non-Euclidian horrors beyond comprehension
Commonly known as reality
But isn't a curve just many angles next to one another?
Yes, but infinitely many.
From a calculus perspective, you may be able to define it as infinitely many angles infinitely close to one another, but I don't think that'd be a particularly good definition.