'purposefully-formed' originates from the combination of 'purposefully' and 'formed', where 'purposefully' is derived from 'purpose' meaning 'intention' and '-fully' indicating 'in a manner of'.

'purposefully' evolved from the Middle English word 'purpos', and 'formed' from the Old English 'formed', eventually combining to create the modern term 'purposefully-formed'.

Initially, it meant 'formed with intention', and this meaning has largely remained the same in modern usage.