# Riemannian Geometry

Pronunciation: /ˈriˌmɑn.i.ən dʒiˈɒ.mɪ.tri/ Explain

 Click on the blue points and drag them to change the figure. Manipulative 1 - Riemannian Geometry Created with GeoGebra.

Riemannian geometry is a non-Euclidean geometry. It can be visualized as taking place on the surface of a sphere. In Riemannian geometry, lines are the great circles on the sphere. As a consequence, every pair of distinct lines intersect in Riemannian geometry. The points of intersection are antipodal, are diametrically opposed.

Riemannian geometry is also called Elliptic Geometry.

### References

1. McAdams, David E.. All Math Words Dictionary, riemannian geometry. 2nd Classroom edition 20150108-4799968. pg 156. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. Riemannian geometry. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 12/4/2018. http://www.merriam-webster.com/dictionary/Riemannian geometry. Buy the book

• Euclid of Alexandria. Elements. Clark University. 9/6/2018. https://mathcs.clarku.edu/~djoyce/elements/elements.html.

McAdams, David E. Riemannian Geometry. 12/21/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/r/riemanniangeometry.html.

### Revision History

12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)