'methodically-arranged' originates from the combination of 'methodically' and 'arranged'. 'Methodically' comes from the Greek word 'methodikos', meaning 'systematic', and 'arranged' is derived from the Old French 'arangier', meaning 'to set in order'.

'Methodically' evolved from the Greek 'methodikos' through Latin 'methodicus', while 'arranged' transformed from Old French 'arangier' to the modern English 'arrange'.

Initially, 'methodically' meant 'systematic', and 'arranged' meant 'set in order'. The combined term retains these meanings, emphasizing systematic organization.