'sudagogue' originates from New Latin/Modern coinage, combining Latin 'sudor' or 'sudare' meaning 'sweat'/'to sweat' and Greek 'agōgos' meaning 'leading' or 'bringing'.

'sudagogue' was formed in medical/technical usage (New Latin/Modern English) from components 'sudor' (Latin) + 'agōgos' (Greek), analogous to formations like 'sudoragogue'; it entered English as a specialist term in the 17th–19th century medical literature.

Initially coined to mean 'something that leads to sweat' (a substance that causes sweating); it has retained this technical meaning and is now a rare/archaic medical term for a diaphoretic.