'systematically-ordered' originates from 'systematic,' which comes from the Greek word 'systēmatikos,' where 'systēma' meant 'organized whole.'

'systēmatikos' transformed into the Latin word 'systematicus,' and eventually became the modern English word 'systematic' through Middle English.

Initially, it meant 'pertaining to a system,' but over time it evolved into its current meaning of 'arranged according to a system.'