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Because of Geometers scarcity, I was instigated to republish this article and to locate the weakness of proving this Axiom. Weakness created the Non-Euclid geometries which deviated GR in Space-time confinement, so, not conceiving the beyond Planck`s existence, not explaining the WHY speed of light is constant, and thus the whole universe. In the manuscript it is proved that parallel postulate is only in Plane (three points only and not a Spherical triangle ) based on the four Postulates for Constructions, and now is proved to be a Theorem, where all properties of Euclidean geometry compactly exist as the Extrema Quantization. Projective, Hyperbolic and Elliptic geometry is proved to be an Extreme in Euclidean geometry where on them Einstein's theory of general relativity is implicated approximately to the properties of physical space. The universally outstanding denial perception that Proof by geometric logic only is inaccessible, is now contradicted. Furthermore consists the first order of conceiving the Geometric logic and knowledge, for the relative extended Physical world as in criticism.
About the author
Markos Georgallides comes from Cyprus and currently resides in the city of Larnaca, after being expelled from his home town Famagusta by the Barbaric Turks in August 1974. He works as a consultant civil and architect engineer having his own business. He is the author of numerous scholarly articles focusing on Euclidean Geometry and mathematics.
