Quadrel \Quad"rel\, n. [It. quadrello, LL. quadrellus, fr. L. quadrus square. See {Quadrate}, and cf. {Quarrel} an arrow.] 1. A square piece of turf or peat. [Prov. Eng.] [1913 Webster] 2. A square brick, tile, or the like. [1913 Webster]