Indian Journal of Science and Technology

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The Parallel Postulate-Return of the Roaring Lion


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

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
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  • The Parallel Postulate-Return of the Roaring Lion

Abstract Views: 458  |  PDF Views: 95

Authors

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

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

References





DOI: https://doi.org/10.17485/ijst%2F2009%2Fv2i4%2F29424