crux vs underpinning

crux

noun
  • The basic, central, or essential point or feature. 

  • The critical or transitional moment or issue, a turning point. 

  • The hardest point of a climb. 

  • A puzzle or difficulty. 

  • A cross on a coat of arms. 

underpinning

noun
  • A basis for something. 

  • The lower body or legs. 

  • A support or foundation, especially as a structure of masonry that supports a wall. 

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