What is Non-Euclidean Geometry?

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What is Non-Euclidean Geometry?

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It’s essentially geometry on a curved surface, where, for example, parallel lines can meet. It started when mathematicians attempted to prove Euclidean axioms by assuming they weren’t true and figuring out what that would mean for geometry.

But it became relevant in the real world when Albert Einstein proved that over astronomical distances space itself is curved. Suddenly over astronomical distances space was non-Euclidean. Parallel lines could meet, etc.

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