singularity vs unicity

singularity

noun
  • The state of being singular, distinct, peculiar, uncommon or unusual. 

  • An unusual action or behaviour. 

  • A point where all parallel lines meet. 

  • Celibacy, singleness (as contrasted with marriage). 

  • A point where a measured variable reaches unmeasurable or infinite value. 

  • The value or range of values of a function for which a derivative does not exist. 

unicity

noun
  • The state or quality of being unique or one of a kind. 

  • The fact of being united as a whole. 

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