caa a22 4500 467887446 CHVBK 20180406152738.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s10714-006-0254-9 doi (NATIONALLICENCE)springer-10.1007/s10714-006-0254-9 Spacetime and Euclidean geometry [Elektronische Daten] [Dieter Brill, Ted Jacobson] Using only the principle of relativity and Euclidean geometry we show in this pedagogical article that the square of proper time or length in a two-dimensional spacetime diagram is proportional to the Euclidean area of the corresponding causal domain. We use this relation to derive the Minkowski line element by two geometric proofs of the spacetime Pythagoras theorem. Springer-Verlag, 2006 Special relativity nationallicence Line element nationallicence Brill Dieter University of Maryland, 20742-4111, College Park, MD, USA aut Jacobson Ted University of Maryland, 20742-4111, College Park, MD, USA aut General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/4(2006-04-01), 643-651 0001-7701 38:4<643 2006 38 10714 https://doi.org/10.1007/s10714-006-0254-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-006-0254-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Brill Dieter University of Maryland, 20742-4111, College Park, MD, USA aut NATIONALLICENCE 700 1- Jacobson Ted University of Maryland, 20742-4111, College Park, MD, USA aut NATIONALLICENCE 773 0- General Relativity and Gravitation Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 38/4(2006-04-01), 643-651 0001-7701 38:4<643 2006 38 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer