An Etymological Dictionary of the German Language/nach
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nach, prep., ‘after, behind, in accordance with,’ from MidHG. nâch, OHG. nâh, prep., ‘after, near to, beside’; comp. Goth. nêhw, nêhwa. prep., ‘near to’; allied to the adj. nahe, OHG. nâh, Goth. nêhws.