eject vs engage

eject

verb
  • To come out of a machine. 

  • To compel (a person or persons) to leave. 

  • To cause (something) to come out of a machine. 

  • To forcefully project oneself or another occupant from an aircraft (or, rarely, another type of vehicle), typically using an ejection seat or escape capsule. 

  • To compel (a sports player) to leave the field because of inappropriate behaviour. 

  • To throw out or remove forcefully. 

noun
  • an inferred object of someone else's consciousness 

engage

verb
  • To come into gear with. 

  • To enter into conflict with (an enemy). 

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

  • 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 eject and engage occurred in a corpus of books? (source: Google Ngram Viewer )