Abstract
In the beginning we will present the first complete axiomatic system for Euclidean geometry elaborated in 1899 by David Hilbert as a sinthesis of Lectures on the Foundations of Geometry, 1891-1902.
Keywords: Linear(vector) space, foundation of the finite dimensional geometry in the three dimensional space, Euclidean’s moment, Hillbert’s system of axioms, scalar product, generated norm, properties, examples.
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