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A Unified Pythagorean Theorem in Euclidean, Spherical, and Hyperbolic Geometries.
- Source :
-
Mathematics Magazine . Feb2017, Vol. 90 Issue 1, p59-69. 11p. - Publication Year :
- 2017
-
Abstract
- We state a formula for the Pythagorean theorem that is valid in Euclidean, spherical, and hyperbolic geometries and give a proof using only properties the geometries have in common. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0025570X
- Volume :
- 90
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Mathematics Magazine
- Publication Type :
- Periodical
- Accession number :
- 121501487
- Full Text :
- https://doi.org/10.4169/math.mag.90.1.59