An Etymological Dictionary of the German Language/Kreis
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Kreis, m., ‘circle, orbit, sphere,’ from MidHG. kreiȥ, m., ‘circumference, circuit, division of a country district’; OHG. chreiȥ, pointing to Goth. *kraits, and D, krijt to. Goth. *kreits, Comp. MidHG. krîȥen (MidG.), ‘to make a circle.’ The word cannot be traced beyond G.; it is not allied to Kranz and Kring. Comp. kritzeln.