'consistently-distributed' originates from the combination of 'consistent' and 'distribute'. 'Consistent' comes from Latin 'consistere', meaning 'to stand firm', and 'distribute' comes from Latin 'distribuere', meaning 'to divide or assign'.

'Consistere' transformed into the Old French 'consister', and eventually became the modern English word 'consistent'. 'Distribuere' transformed into the Old French 'distribuer', and eventually became the modern English word 'distribute'.

Initially, 'consistent' meant 'standing firm', but over time it evolved to mean 'uniform or steady'. 'Distribute' initially meant 'to divide or assign', and this meaning has largely remained the same in modern usage.