Aglet

A binding around the end of a lace to protect it, reinforce it and help thread it through holes.  Although they are not commonly found, medieval boot and shoe aglets seem to have been coiled brass wire, while those for clothing were wrapped metal sheets.  In some forms of medieval boot and shoe lacing only a single end might need an aglet, while the other end was just knotted or stitched inside the shoe or boot.  Aglets were used on some leather laces, and if they were used on cloth laces these have not survived