on the edge vs perimetric

on the edge

prep
  • With figurative or temporal proximity to (an event, state of mind, etc.). 

  • In a state of excitement due to taking risks. 

  • In a precarious position, with one's recourses nearly exhausted. 

perimetric

adj
  • relating to perimetry 

  • of, relating to or having a perimeter 

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