'polyuric' originates from Greek via New Latin: the prefix 'poly-' comes from Greek 'polús' meaning 'many', and the element 'ur-' comes from Greek 'ouron' meaning 'urine', combined with the adjectival suffix '-ic' (from Latin/Greek).

'polyuric' was formed in modern medical English from New Latin 'polyuria' (from Greek elements meaning 'many' + 'urine') with the addition of the adjectival suffix '-ic', producing a term meaning 'relating to polyuria'.

Initially it referred to being 'related to or characterized by polyuria' and it has retained that specialized medical meaning of 'producing excessive urine'.