'height-dependently' originates from Modern English, specifically the compounding of 'height' (from Old English 'hēah') and 'dependently' (ultimately from Latin 'dependēre'), where 'hēah' meant 'high' and 'dependēre' meant 'to hang down/attach'

'height' changed from Old English 'hēah' to Middle English forms and became modern English 'height'; 'depend' derives from Latin 'dependēre' > Old French 'dependre' > Middle English 'dependen', developing into 'dependent' and then 'dependently'; the compound 'height-dependent' and the adverbial form 'height-dependently' are Modern English formations

Initially, the root of 'depend' meant 'to hang down' (literal), but over time it evolved to mean 'to be determined by or rely on'; combined with 'height', the modern meaning is 'varying according to height'