Corrigia, corrigiæ, f. g. A thong: a latchet.Corrigia canina. Plin. A thong of dogges leather.Corrigia calceamenti.Cic.A latcher.
Lewis and Short: Latin dictionary
corrīgĭa (conr-), ae, f. [corrigo]. I.A shoe-tie, shoe-latchet, Varr. ap. Non. p. 448, 26; Cic. Div. 2, 40, 84; Plin. 30, 4, 12, 35. —II.A rein for a horse, Edict. Diocl. p. 26.