close one's eyes vs eyeball

close one's eyes

verb
  • Used other than figuratively or idiomatically: see close, one's, eyes. 

  • To ignore something. 

  • To sleep. 

eyeball

verb
  • To roll one's eyes. 

  • To gauge, estimate or judge by eye, rather than measuring precisely; to look or glance at. 

  • To scrutinize. 

  • To stare at intently. 

noun
  • A face-to-face meeting. 

  • The ball of the eye. 

  • A person's focus of attention. 

  • A favourite or pet; the apple of someone's eye. 

  • A readership or viewership. 

How often have the words close one's eyes and eyeball occurred in a corpus of books? (source: Google Ngram Viewer )