{"Data":{"DataType":"Article","FromName":"Richard Hachel","FromMail":"r.hachel@tiscali.fr","Subject":"{RR] Mode de transformations \u00e0 cinq coordonn\u00e9es.","References":[],"Newsgroups":["fr.sci.physique"],"Body":"Mode de transformation relativiste \u00e0 cinq coordonn\u00e9es.\n\n[img]jntp:#DataID#\/Data.Media:1[\/img]\n\n<#Uri#>\n\n\n\n[signature]\"Mais ne nous y trompons pas. Il n'y a pas que de la violence avec des armes. Il y a des situations de violence\". \nAbb\u00e9 Pierre.[\/signature]","Media":[{"data":"data:image\/png;base64,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