RETRACTED: On the New Branch of Mathematical Science-Part 2
Abstract
The fifth Euclidean postulate problem in geometry is 2300 years old. This postulate is also known as Euclid’s parallel postulate. The great mathematicians tried their best to deduce the fifth postulate from the other four postulates. But unfortunately nobody could succeed in this geometrical battle. The studies devoted to this problem led to the origin of two non-Euclidean geometries. The authors resurveyed and established and gave a proof for this problem.
DOI: https://doi.org/10.3844/jmssp.2008.148.149
Copyright: © 2008 M. Sivasubramanian, L. Senthilkumar, K. Raghul Kumar and S. Kalimuthu. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Keywords
- Euclid
- elements
- postulates
- non-Euclidean geometries
- physical applications