Indian Journal of Science and Technology

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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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