'methodically' originates from 'method,' which comes from the Greek word 'methodos,' meaning 'pursuit of knowledge.' 'Dismissed' originates from Latin, specifically the word 'dimittere,' where 'dis-' meant 'apart' and 'mittere' meant 'send.'

'methodically' evolved from the Greek 'methodos' to the Latin 'methodicus,' and eventually became the modern English word 'methodical.' 'Dismissed' changed from the Latin 'dimittere' to the Old French 'desmis,' and eventually became the modern English word 'dismiss.'

Initially, 'methodically' meant 'in a systematic way,' and 'dismissed' meant 'sent away.' Over time, 'methodically-dismissed' evolved to mean 'dismissed in a systematic and orderly manner.'