corresponding vs of a piece

corresponding

noun
  • A correspondence; the situation where things correspond or match. 

adj
  • that have a similar relationship 

of a piece

prep
  • Used other than figuratively or idiomatically: see of, a, piece. 

  • Of the same kind. 

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