hopeless vs melancholy

hopeless

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

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

  • Without talent, not skilled. 

  • Incurable. 

melancholy

adj
  • Affected with great sadness or depression. 

noun
  • Great sadness or depression, especially of a thoughtful or introspective nature. 

  • Black bile, formerly thought to be one of the four "cardinal humours" of animal bodies. 

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