academe vs educational institution

academe

noun
  • An academy; a place of learning. 

  • The name of the garden in Athens where the academics met. 

  • A senior member of the staff at an institution of higher learning; pedant. 

  • The scholarly life, environment, or community. 

educational institution

noun
  • A place where people of different ages gain an education, including preschools, childcare, elementary schools, and universities. 

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