non-Euclidean geometry
two geometries based on axioms closely related to those specifying Euclidean geometry
AI overview
Non-Euclidean geometry refers to mathematical systems based on axioms similar to those of familiar Euclidean geometry, but with key differences—most notably in how parallel lines behave. These alternative geometries have proven important in mathematics and physics, including applications to Einstein's theory of relativity.
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Article
Behavior of lines with a common perpendicular in each of the three types of geometry
Three-dimensional