entrench vs ingrain

entrench

verb
  • To cut in; to furrow; to make trenches in or upon. 

  • To surround or provide with a trench, especially for defense; to dig in. 

  • To establish a substantial position in business, politics, etc. 

  • To dig or excavate a trench; to trench. 

  • To invade; to encroach; to infringe or trespass; to enter on, and take possession of, that which belongs to another; usually followed by on or upon. 

  • To become completely absorbed in and fully accept one's beliefs, even in the face of evidence against it and refusing to be reasoned with. 

ingrain

verb
  • To make (something) deeply part of something else. 

  • To dye with a fast or lasting colour. 

adj
  • Dyed with grain, or kermes. 

  • Dyed before manufacture; said of the material of a textile fabric; hence, in general, thoroughly inwrought; forming an essential part of the substance. 

noun
  • An ingrain fabric, such as a carpet. 

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