contrary vs wrong side

contrary

noun
  • The opposite. 

  • One of a pair of propositions that cannot both be simultaneously true, though they may both be false. 

adj
  • Opposite; in an opposite direction; in opposition; adverse. 

  • Opposed; contradictory; inconsistent. 

  • Given to opposition; perverse; wayward. 

adv
  • Contrarily 

wrong side

noun
  • Used other than figuratively or idiomatically: see wrong, side. 

  • The side of a fabric, often with a less visible color or pattern, that is not intended to be seen on a finished project. 

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