'non-globose' originates from Modern English, specifically the prefix 'non-' (from Latin 'non' meaning 'not') combined with 'globose' (ultimately from Latin 'globosus', from 'globus').

'globose' derives from Latin 'globosus' (from 'globus' meaning 'round mass' or 'ball'); it entered English via Late Latin/Medieval Latin and Middle French forms and became the modern English 'globose'. The compound 'non-globose' was formed in modern English by prefixing 'non-'.

Initially, the root meant 'round mass' or 'ball-like'; 'globose' came to mean 'spherical or rounded in shape', and 'non-globose' evolved to mean 'not spherical' or 'not rounded'.