Elliptic space | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-31

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Elliptic_geometry


00:00:43 1 Definitions
00:02:25 2 Two dimensions
00:02:35 2.1 Elliptic plane
00:04:23 2.2 Comparison with Euclidean geometry
00:08:47 3 Elliptic space
00:13:31 4 Higher-dimensional spaces
00:14:32 4.1 Hyperspherical model
00:14:42 4.2 Projective elliptic geometry
00:15:29 4.3 Stereographic model
00:17:31 5 Self-consistency
00:20:38 6 See also
00:21:41 7 Notes



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SUMMARY
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Elliptic geometry is a geometry in which Euclid's parallel postulate does not hold. Elliptic geometry is studied in two, three, or more dimensions. The appearance of this geometry in the nineteenth century stimulated the development of non-Euclidean geometry generally, including hyperbolic geometry.
Elliptic geometry has a variety of properties that differ from those of classical Euclidean plane geometry.  For example, the sum of the interior angles of any triangle is always greater than 180°.