Where does “in Brache liegen” come from?

in Brache liegen (German) comes from German Brache, from Middle High German brāche, from Old High German brāhha.

Ancestry of “in Brache liegen”, step by step

StepLanguageWordMeaning
1GermanBrachefallow
2Middle High Germanbrāche—
3Old High Germanbrāhha—
Every word from Old High German brāhha →Every word from Middle High German brāche →Every word from German Brache →