'barographic' originates from New Latin/Modern English, specifically from the combining elements 'baro-' (from Greek 'baros') and 'graph' (from Greek 'graphein'), where 'baros' meant 'weight' or 'pressure' and 'graphein' meant 'to write'.

'barographic' was formed in English from the noun 'barograph' (coined in the mid 19th century for an instrument that records atmospheric pressure) by adding the adjectival suffix '-ic', producing the modern adjective 'barographic'.

Initially it referred specifically to instruments or recordings that write or register atmospheric pressure; over time it has retained that technical sense and can also be used more generally to mean 'relating to atmospheric pressure or its recording'.