An Etymological Dictionary of the German Language/Furche
Furche, f., from the equiv. MidHG. vurch (plur. vürhe), OHG. furuh, f., ‘furrow’; comp. Du. voor, AS. furk, f., E. furrow (akin to AS. and E. furlong, ‘the length of a furrow’); OIc. for, f., ‘drain, watercourse.’ Goth. *faúrhus, f., is wanting. It is based upon pre-Teut. pṛk-; comp. Lat. porca, ‘ridge between two furrows,’ and porculetum, ‘field divided into beds’; akin also to Armen. herk, ‘freshly fallow land,’ W. rhych (OGall. *ricâ, OIr. rech), m., f., ‘furrow,’ from the base pṛkâ.