demonstrate vs spectate

demonstrate

verb
  • to participate in or organize a demonstration. 

  • to show, display, or present; to prove or make evident 

  • to show the steps taken to create a logical argument or equation. 

  • to show how to use (something). 

spectate

verb
  • To attend an event as a spectator; to observe. 

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