fix vs vary

fix

verb
  • To focus or determine (oneself, on a concept); to fixate. 

  • To make (a contest, vote, or gamble) unfair; to privilege one contestant or a particular group of contestants, usually before the contest begins; to arrange immunity for defendants by tampering with the justice system via bribery or extortion. 

  • To attach; to affix; to hold in place or at a particular time. 

  • To surgically render an animal, especially a pet, infertile. 

  • To render (a photographic impression) permanent by treating with such applications as will make it insensitive to the action of light. 

  • To become fixed; to settle or remain permanently; to cease from wandering; to rest. 

  • To take revenge on, to best; to serve justice on an assumed miscreant. 

  • To convert into a stable or available form. 

  • To become firm, so as to resist volatilization; to cease to flow or be fluid; to congeal; to become hard and malleable, as a metallic substance. 

  • To prevent enemy pawns from advancing by directly opposing the most advanced one with one of one's own pawns so as to threaten to capture any advancing backward pawns. 

  • To mend, to repair. 

  • To prepare (food or drink). 

  • To map a (point or subset) to itself. 

noun
  • fettlings (mixture used to line a furnace) 

  • A prearrangement of the outcome of a supposedly competitive process, such as a sporting event, a game, an election, a trial, or a bid. 

  • A repair or corrective action. 

  • A determination of location. 

  • A difficult situation; a quandary or dilemma; a predicament. 

  • A single dose of an addictive drug administered to a drug user. 

vary

verb
  • To embellish; to change fancifully; to present under new aspects, as of form, key, measure, etc. See variation. 

  • To make of different kinds; to make different from one another; to diversity; to variegate. 

  • To be or act different from the usual. 

  • Not to remain constant: to change with time or a similar parameter. 

  • To institute a change in, from a current state; to modify. 

  • To change with time or a similar parameter. 

  • To display differences. 

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