An Etymological Dictionary of the German Language/Schade
Schade, n., ‘damage, harm, injury,’ from MidHG. schade, OHG. scado, m., ‘damage, destruction, disadvantage’; corresponding to the equiv. Du. schade OIc. skaðe, m. Further OIc. skaðe, OHG. scado, OSax. scaðo, AS. sčęaþa, m., ‘robber, foe,’ allied to Goth. skaþjan, ‘to injure, act unjustly,’ AS. sčęþþan, ‘to injure,’ OHG. scadôn, MidHG. and ModHG. schaden. An Aryan root skā̆́th, corresponding to the Teut. root skaþ, appears in Gr. ἀσκηθής, ‘unscathed.’