The parallel postulate- return of the roaring lion

S Kalimuthu

doi:10.17485/ijst/2009/v2i4.7

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The parallel postulate- return of the roaring lion

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2009/v2i4.7

Year: 2009, Volume: 2, Issue: 4, Pages: 1-7

Original Article

The parallel postulate- return of the roaring lion

S.Kalimuthu

SF 211, Kanjampatti P.O, Pollachi Via,Tamil Nadu 642003, India

*Author for the correspondence:
S.Kalimuthu
SF 211, Kanjampatti P.O, Pollachi Via,Tamil Nadu 642003, India
E-mail: [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this work, without assuming the fifth Euclidean postulate, the author established the following theorems: 1.There exists a spherical quadrilateral whose interior angle sum is equal to 360 degrees. 2 .The sum of the interior angles of a triangle is a straight angle.

Keywords: Euclid, elements, postulates, non-Euclidean geometries, number theory, algebraic applications