downcast vs hopeless

downcast

adj
  • Feeling despondent. 

  • Looking downwards. 

verb
  • To cast from supertype to subtype. 

  • To taunt; to reproach; to upbraid. 

noun
  • A ventilating shaft down which the air passes in circulating through a mine. 

  • A cast from supertype to subtype. 

hopeless

adj
  • Without hope; despairing; not expecting anything positive. 

  • Giving no ground of hope; promising nothing desirable; desperate. 

  • Without talent, not skilled. 

  • Incurable. 

How often have the words downcast and hopeless occurred in a corpus of books? (source: Google Ngram Viewer )