Tirohia te wāhanga i raro nei, kātahi ka whakautu i te pātai i muri mai i te reo kotahi me te wāhanga:  Passage: I tere te whakaaetanga me te whanaketanga o te ahua o te waahi-waahi a Minkowski. Hei tauira, i whakakapia e Arnold Sommerfeld (1910) te tohu poukapa o Minkowski e te tohu vector huatau, a, i hangaia e ia nga kupu "whā vector" me te "ono vector". I whakauruhia hoki e ia he whakatakotoranga trigonometric o te ture taapiri tere, e ai ki a Sommerfeld, ka tangohia e ia te nuinga o te maere o taua kaupapa. Ko ētahi atu takoha nui i mahia e Laue (1911, 1913), nāna i whakamahi te āhua o te wā-wā ki te waihanga i tētahi ariā pātahitanga o ngā tinana whakaheke me tētahi ariā matūriki. I whakawhānuihia e ia nga kupu a Minkowski mo nga tukanga hiko ki nga kaha katoa ka taea, na reira ka whakamarama i te ariā o te rite o te kaha-hinengaro-hinengaro. I whakaatu hoki a Laue ko nga kaha kore-hiko e hiahiatia ana hei whakarite i nga ahuatanga o te huringa Lorentz tika, mo te pumau o te take <unk> ka taea e ia te whakaatu ko nga "pupuri Poincaré" (e whakahuatia ana i runga ake nei) he hua noa iho o te ariā whanaungatanga kia taea ai e te irahiko he punaha kati.  Pātai: He aha anō te mea i whakaurua e Minkowski?
he whakatakotoranga trigonometric o te ture taapiri tere