ascent vs prominence

ascent

noun
  • The degree of elevation of an object, or the angle it makes with a horizontal line; inclination; gradient; steepness 

  • The act of ascending; a motion upwards. 

  • An increase, for example in popularity or hierarchy 

  • The ascender height in a typeface. 

  • The way or means by which one ascends. 

  • An eminence, hill, or high place. 

prominence

noun
  • Autonomous height; relative height or prime factor; a concept used in the categorization of hills and mountains. 

  • A bulge: something that bulges out or is protuberant or projects from a form. 

  • The state of being prominent: widely known or eminent. 

  • A gaseous projection, often loop-shaped, springing from the surface of the Sun or a star. 

  • Relative importance. 

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