Math 2.0

Geometry Non-Euclidean geometries Concept

Spherical geometry

Summary

Spherical geometry is the geometry of the surface of a sphere, where the role of lines is played by great circles. Any two great circles meet, so there are no parallel lines, and the angle sum of a triangle exceeds π\pi. It is the oldest non-Euclidean geometry in practice, used for navigation and astronomy long before the axioms of geometry were questioned. Identifying antipodal points turns it into elliptic geometry.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Spherical_geometry
About this page
TagSQ9RQVANMG
URIm2://SQ9RQVANMG
Kindconcept
WritingW0 stub
MSC51M10, 51M09
SpecializesNon-Euclidean geometry
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