'logically-formed' originates from the combination of 'logical' and 'formed', where 'logical' comes from the Greek word 'logikos', meaning 'pertaining to reason', and 'formed' from the Latin 'formare', meaning 'to shape'.

'logikos' transformed into the Latin 'logicus', and eventually became the modern English word 'logical'. 'Formare' evolved into the Old French 'former', and eventually became the modern English word 'form'.

Initially, 'logikos' meant 'pertaining to reason', and 'formare' meant 'to shape'. Over time, these meanings combined to describe something constructed in a rational manner.