established vs fixed

established

adj
  • Explicitly defined, described or recognized as a reference. 

  • Of a religion, church etc.: formally recognized by a state as being official within that area. 

  • Having been in existence for a long time and therefore recognized and generally accepted. 

fixed

adj
  • Attached; affixed. 

  • Of sound, recorded on a permanent medium. 

  • Resolved; corrected. 

  • Surgically rendered infertile (spayed, neutered or castrated). 

  • Not changing, not able to be changed, staying the same. 

  • Repaired 

  • Chemically stable. 

  • Supplied with what one needs. 

  • Stationary. 

  • Rigged; fraudulently prearranged. 

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