'non-axial' is formed in modern English from the prefix 'non-' (from Latin 'non', meaning 'not') combined with 'axial' (from Latin 'axis', meaning 'axle' or 'axis').

'axial' comes from Latin 'axis' → Late Latin/Medieval Latin 'axialis' → Middle English 'axial', and the negative prefix 'non-' was attached in modern English use to form compounds such as 'non-axial'.

Originally 'axial' meant 'relating to or forming an axis'; the compound 'non-axial' later developed simply to denote 'not along or related to an axis', retaining a literal negative of the original sense.