'chemically-precipitated' is a modern English compound formed from 'chemical' + 'precipitate'. 'chemical' originates from Medieval Latin 'chemicalis' (via Arabic 'al-kīmīā') where the root referred to 'alchemy', and 'precipitate' originates from Latin 'praecipitare' meaning 'to throw headlong'.

'precipitate' passed from Latin 'praecipitare' into Late Latin/Medieval Latin and Middle English, acquiring senses of 'to fall' or 'to cast down'; the specific chemical sense ('to form a solid from a solution') developed in scientific usage from the 17th–18th centuries. 'chemical' developed from terms for alchemy into the modern sense relating to substances and reactions, and the compound 'chemically precipitated' arose when chemical vocabulary was combined to describe precipitation caused by chemical reaction.

Initially, 'precipitate' meant 'to throw down or cast headlong'; over time it gained a technical chemical meaning 'to cause a solid to form in a solution'. 'chemical' shifted from 'alchemy-related' to the general sense 'relating to chemicals or chemical processes', and together they now denote a substance 'formed by a chemical precipitation process'.