dilemma vs felicity

dilemma

noun
  • A difficult circumstance or problem. 

  • A type of syllogism of the form "if A is true then B is true; if C is true then D is true; either A or C is true; therefore either B or D is true". 

  • A circumstance in which a choice must be made between two or more alternatives that seem equally undesirable. 

  • Offering to an opponent a choice between two (equally unfavorable) alternatives. 

felicity

noun
  • Something that is either a source of happiness or particularly apt. 

  • An apt and pleasing style in speech, writing, etc.; (countable) an apt and pleasing choice of words. 

  • Happiness; (countable) an instance of this. 

  • Reproduction of a sign with fidelity. 

  • Good luck; success; (countable) An instance of unexpected good luck; a stroke of luck; also, a lucky characteristic. 

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