book vs engage

book

verb
  • To add a name to the list of people who are participating in something. 

  • To record bets as bookmaker. 

  • To receive the highest grade in a class. 

  • To leave. 

  • To reserve (something) for future use. 

  • To record the name and other details of a suspected offender and the offence for later judicial action. 

  • To issue a caution to, usually a yellow card, or a red card if a yellow card has already been issued. 

  • simple past tense of bake 

  • To write down, to register or record in a book or as in a book. 

  • To travel very fast. 

noun
  • A record of betting (from the use of a notebook to record what each person has bet). 

  • A book award, a recognition for receiving the highest grade in a class (traditionally an actual book, but recently more likely a letter or certificate acknowledging the achievement). 

  • A list of all players who have been booked (received a warning) in a game. 

  • A major division of a long work. 

  • A convenient collection, in a form resembling a book, of small paper items for individual use. 

  • Records of the accounts of a business. 

  • A bookmaker (a person who takes bets on sporting events and similar); bookie; turf accountant. 

  • Six tricks taken by one side. 

  • Four of a kind. 

  • The accumulated body of knowledge passed down among black pimps. 

  • The script of a musical or opera. 

  • A portfolio of one's previous work in the industry. 

  • The twenty-sixth Lenormand card. 

  • A collection of sheets of paper bound together to hinge at one edge, containing printed or written material, pictures, etc. 

  • Any source of instruction. 

  • The sum of chess knowledge in the opening or endgame. 

  • A long work fit for publication, typically prose, such as a novel or textbook, and typically published as such a bound collection of sheets, but now sometimes electronically as an e-book. 

  • A document, held by the referee, of the incidents happened in the game. 

engage

verb
  • To enter into (an activity), to participate (construed with in). 

  • To enter into conflict with (an enemy). 

  • To come into gear with. 

  • To draw into conversation. 

  • To mesh or interlock (of machinery, especially a clutch). 

  • To attract, to please; (archaic) to fascinate or win over (someone). 

  • To guarantee or promise (to do something). 

  • To engross or hold the attention of; to keep busy or occupied. 

  • To arrange to employ or use (a worker, a space, etc.). 

  • To bind through legal or moral obligation (to do something, especially to marry) (usually in passive). 

  • To enter into battle. 

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