'curved-veined' originates from English, specifically the combination of 'curved' and 'vein', where 'curved' ultimately comes from Latin 'curvus' and 'vein' ultimately comes from Latin 'vena' (with 'curvus' meaning 'bent' and 'vena' meaning 'vein' or 'channel').

'curved' entered English via Old French/Latin roots (Latin 'curvus'/'curvare'), and 'vein' entered via Old French 'veine' from Latin 'vena'; these elements were combined in modern English to form the compound adjective 'curved-veined' used in botanical description.

Initially, 'curved' meant 'bent' and 'vein' meant 'blood vessel' or 'channel'; over time the compound 'curved-veined' came to have the specialized meaning of 'having arched or curved veins' when describing leaves or similar structures.