continuous vs eternal

continuous

adj
  • Without intervening space; continued. 

  • Expressing an ongoing action or state. 

  • Not deviating or varying from uniformity; not interrupted; not joined or articulated. 

  • Such that, for every x in the domain, for each small open interval D about f(x), there's an interval containing x whose image is in D. 

  • Without stopping; without a break, cessation, or interruption. 

  • Such that each open set in the target space has an open preimage (in the domain space, with respect to the given function). 

eternal

adj
  • existing outside time; as opposed to sempiternal, existing within time but everlastingly 

  • Lasting forever; unending. 

  • Constant; perpetual; ceaseless; ever-present. 

noun
  • One who lives forever; an immortal. 

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