I never got beyond calculus in school, and I’ve heard this term thrown around by smart math and science people bit have no clue what it means or why it’s special.
In: Mathematics
Euclidean geometry is the geometry that you’re most familiar with in your every day life. It’s the geometry you learned about it school. It deals with flat spaces. (Flat in this context means not curved, not flat as in a piece of paper.) In Euclidean geometry, the sum of angles in a triangle is always 180 degrees and parallel lines will never meet. You probably remember learning those axioms in school.
Non-Euclidean geometry is any kind of geometry other than that. So any kind of curved space or shape is non-Euclidean. For example, the surface of a sphere is non-Euclidean because it’s curved – the sum of the angles in a triangle on the surface of a sphere will not always be 180 degrees and parallel lines will meet.
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