eng Science and Education Publishing Applied Mathematics and Physics 2013-11-18 1 4 129 142 10.12691/amp-1-4-6 AMP2013146 article Markos Georgallides georgallides.marcos@cytanet.com.cy 1 Larnaca, Cyprus In the manuscript is proved that parallel postulate is only in Plane (three points only) and is based on the four Postulates for Constructions, where all properties of Euclidean geometry compactly exist as Extrema on points, lines, planes, circles and spheres. Projective, Hyperbolic and Elliptic geometry is proved to be an Extrema (deviations) in Euclidean geometry where on them Einstein's theory of general relativity is implicated approximately to the properties of physical space. http://pubs.sciepub.com/amp/1/4/6/amp-1-4-6.pdf parallel postulateEuclid geometry