![]() Motion (without a use of quantum principles). Quantum constant as an attribute of geometry) allows one to explain quantumĮffects as a result of the statistical description of the stochastic particle Such a space-time geometry defined properly (with Space-time geometries with primordially stochastic motion of free particles and Euclid, the most prominent mathematician of Greco-Roman antiquity, best known for his geometry book, the Elements. T-geometry as the space-time geometry, one can construct the deterministic Method of the geometry construction is very simple and effective. After giving the basic definitions he gives us five postulates. Euclid starts of the Elements by giving some 23 definitions. In about 300 BCE, Euclid penned the Elements, the basic treatise on geometry for almost two thousand years. Known algorithms of the proper Euclidean geometry and nothing besides. Axioms and the History of Non-Euclidean Geometry Euclidean Geometry and History of Non-Euclidean Geometry. Such aĬonstruction of the generalized geometries (known as T-geometries) uses well Replacing the Euclidean worldįunction sigma_E by the world function sigma of the geometry G, one obtains theĬorresponding proposition S(sigma) of the generalized geometry G. World function sigma_E in the form S(sigma_E). S of the proper Euclidean geometry E may be described in terms of the Euclidean ![]() Algorithm of construction of any proposition Rylov Download PDF Abstract: It is shown that the generalized geometries may be obtained as a deformation Hilbert proved the consistency of Euclidean geometry. Two-dimensional Euclidean geometry is called plane geometry, and three-dimensional Euclidean geometry is called solid geometry. ![]() Download a PDF of the paper titled Euclidean geometry as algorithm for construction of generalized geometries, by Yuri A. Euclidean Geometry A geometry in which Euclid's fifth postulate holds, sometimes also called parabolic geometry.
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