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non-Euclidean geometry
Sign in to savetwo geometries based on axioms closely related to those specifying Euclidean geometry
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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Wikidata facts
- Instance of
- branch of mathematics
- Subclass of
- geometry
- Part of
- geometry
- Has part
- elliptic geometry
- Named after
- Euclid
- Image
- Noneuclid.svg
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- maintained by WikiProject
- WikiProject Mathematics
- described by source
- Brockhaus and Efron Encyclopedic Dictionary
- does not have characteristic
- parallel postulate
- Commons category
- Non-Euclidean geometry
- topic's main category
- Category:Non-Euclidean geometry
- different from
- Euclidean geometry
- on focus list of Wikimedia project
- Wikipedia:Vital articles/Level/4
Sources (3)
via Wikidata · CC0
~32 min read
Encyclopedic overview
Behavior of lines with a common perpendicular in each of the three types of geometry
Three-dimensional
Excerpted from Wikipedia’s “non-Euclidean geometry” article, available under the CC BY-SA 4.0 licence.
Gallery (6)
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