'methodically-applied' originates from the combination of 'methodically' and 'applied'. 'Methodically' comes from the Greek word 'methodikos', meaning 'systematic', and 'applied' is derived from the Latin word 'applicare', meaning 'to attach or join'.

'Methodically' evolved from the Greek 'methodikos' through Latin 'methodicus', and 'applied' transformed from Latin 'applicare' through Old French 'applier', eventually becoming the modern English 'applied'.

Initially, 'methodically' meant 'systematic', and 'applied' meant 'to attach'. Over time, 'methodically-applied' evolved to mean 'implemented in a systematic manner'.