Ko te pūtaiao ā-rangi ko te mātauranga o ngā huringa ā-rangi (roa me te wā poto) e tautuhi ana i ngā āhuarangi toharite me ō rātou huringa i roto i te wā, nā te rerekē o te āhuarangi māori me te ā-tangata. Ko te mātauranga ā-rangi ko te mātauranga o ngā taumata o runga o te āhuarangi, kei reira te wehewehe me te ā-rangi.
ki te mara o te pūtaiao aorangi