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Basic Facts in Euclidean and Minkowski Plane Geometry

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A Mathematical Journey to Relativity

Part of the book series: UNITEXT for Physics ((UNITEXTPH))

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Abstract

In Chap. 1, we found out that there exist different geometries in a plane. It depends on the axioms one chooses if Euclidean Geometry or Non-Euclidean Geometry are described. But how these geometries look like? In this chapter we present an algebraic model for Euclidean Geometry discussing some important theorems. We obtain a visual representation for the Euclidean Geometry of the plane.

Entia non sunt multiplicanda praeter necessitatem.

W. Ockham

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Correspondence to Wladimir-Georges Boskoff .

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© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG

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Boskoff, WG., Capozziello, S. (2020). Basic Facts in Euclidean and Minkowski Plane Geometry. In: A Mathematical Journey to Relativity. UNITEXT for Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-47894-0_2

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