both vs neither

both

det
  • Each of the two; one and the other; referring to two individuals or items. 

conj
  • Including both of (used with and). 

pron
  • Each of the two, or of the two kinds. 

neither

det
  • Not one of two; not either. 

  • Not either (used with nor). 

pron
  • Not either one of two. 

adv
  • Similarly not. 

How often have the words both and neither occurred in a corpus of books? (source: Google Ngram Viewer )