Friedrich Kluge, An Etymological Dictionary of the German Language (1891)
“ Italian mangano, ‘sling,’ Old French mangoneau, ‘sling,’ whence Middle English mangonel. There is no Teutonic type of the whole class; its source is said to be Greek μάγγανον, ‘warlike machine’; perhaps an instrument of this kind furnished the model for the mangle. mangeln, verb, ‘to want, lack, be lacking,’ from Middle High German mangeln, Old High German mangolôn, ‘to dispense with, miss, be in want of'; Mangel, from Middle High German mangel, masculine, ‘want, defect.’ To this is allied Middle High German manc, ‘want, defect,’ also Old High German mangôn, męngen, ‘to be deficient’ ”
