firmness vs rigidity

firmness

noun
  • physical durability; rigidness (of material) 

  • security; steadfastness; good grip 

  • strictness; mental strength 

rigidity

noun
  • The quality or state of being rigid; lack of pliability; the quality of resisting change of physical shape 

  • stickiness (of prices/wages etc.). Describing the tendency of prices and money wages to adjust to changes in the economy with a certain delay. 

  • Stiffness of appearance or manner; want of ease or elegance. 

  • The amount of resistance with which a body opposes change of form. 

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