continuous vs perpetual

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). 

perpetual

adj
  • Continuing; uninterrupted. 

  • Set up to be in effect or have tenure for an unlimited duration. 

  • Lasting forever, or for an indefinitely long time. 

  • Flowering throughout the growing season. 

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