In a manner characteristic of Europe, Europeans, or European culture; following European customs, styles, or approaches.
From 'European' + '-ly' (adverbial suffix); a less common formation that mirrors the structure of adverbs like 'Americanly,' denoting manner or style.
This word is rarely used in modern English, which itself tells a story—describing something 'europeanly' sounds oddly specific, perhaps because European identity has become so assumed in Western discourse that we rarely need a word for doing things the European way.
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