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Abstract

Points and straight lines are not defined in today’s mathematics. We determine the relations between them only by axioms. We can imagine a line as a trace of a point moving in a plane along the shortest route between two different points without changing its direction.

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© 2004 Springer-Verlag Berlin Heidelberg

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Bronshtein, I.N., Semendyayev, K.A., Musiol, G., Muehlig, H. (2004). Geometry. In: Handbook of Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05382-9_3

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  • DOI: https://doi.org/10.1007/978-3-662-05382-9_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43491-7

  • Online ISBN: 978-3-662-05382-9

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