inscribe vs write down

inscribe

verb
  • To write or cut (words) onto (something, especially a hard surface, or a book to be given to another person); to engrave. 

  • To draw a circle, sphere, etc. inside a polygon, polyhedron, etc. and tangent to all its sides. 

write down

verb
  • To write (something) in a simple or condescending style. 

  • Used other than figuratively or idiomatically: see write, down. 

  • To produce or set (something) down in writing; to record something. 

  • To make a downward adjustment in the value of an asset. 

  • To condemn in writing; to document the faults, offenses, or wrongdoing of. 

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