hit upon vs meet with

hit upon

verb
  • To think of; to discover or invent. 

  • To address. 

meet with

verb
  • To encounter; to experience. 

  • To contact or touch (something). 

  • To have a meeting with (someone). 

  • To strike (something). 

  • To answer (something) with; to respond to (something) with. 

How often have the words hit upon and meet with occurred in a corpus of books? (source: Google Ngram Viewer )