Abstract
A relevant property of Euclidean geometry is the Pythagorean distance between two points. From this definition the properties of analytical geometry follow. In a similar way the analytical geometry in Minkowski plane is introduced, starting from the invariant quantities of Special Relativity.
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References
I.M. Yaglom, A Simple Non-Euclidean Geometry and Its Physical Basis. (Springer-Verlag, New York, 1979)
G.L. Naber, The Geometry of Minkowski Spacetime. An Introduction to the Mathematics of the Special Theory of Relativity, Sect. 1.4 (Springer-Verlag, New York, 1992)
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© 2011 Francesco Catoni
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Catoni, F., Boccaletti, D., Cannata, R., Catoni, V., Zampetti, P. (2011). Geometrical Representation of Hyperbolic Numbers. In: Geometry of Minkowski Space-Time. SpringerBriefs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17977-8_3
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DOI: https://doi.org/10.1007/978-3-642-17977-8_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17976-1
Online ISBN: 978-3-642-17977-8
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