'linear' originates from Latin, specifically the word 'linearis,' where 'linea' meant 'line.' 'Arrange' originates from Old French, specifically the word 'arangier,' where 'a-' meant 'to' and 'rangier' meant 'to rank or order.'

'linearis' transformed into the French word 'linéaire,' and eventually became the modern English word 'linear' through Middle English. 'Arangier' transformed into the English word 'arrange' through Middle English.

Initially, 'linear' meant 'pertaining to a line,' and this meaning has largely remained the same in modern usage. 'Arrange' initially meant 'to rank or order,' and this meaning has largely remained the same in modern usage.