'curvily' originates from English, specifically the adjective 'curvy', where the root 'curve' originates from Latin 'curvus' meaning 'bent'.

'curvily' changed from the adjective 'curvy', which in turn developed from the noun 'curve' (borrowed into Middle English from Old French and ultimately from Latin 'curvus'), and the adverbial suffix '-ly' was added to form 'curvily'.

Initially, it meant 'bent' (from Latin 'curvus'), but over time it evolved into its current meaning of 'in a curving manner'.