The Collaborative International Dictionary of English v.0.48:

Continuity \Con`ti*nu"i*ty\, n.; pl. Continuities. [L.
   continuitas: cf. F. continuit['e]. See Continuous.]
   the state of being continuous; uninterrupted connection or
   succession; close union of parts; cohesion; as, the
   continuity of fibers. --Grew.
   [1913 Webster]

         The sight would be tired, if it were attracted by a
         continuity of glittering objects.        --Dryden.
   [1913 Webster]

   Law of continuity (Math. & Physics), the principle that
      nothing passes from one state to another without passing
      through all the intermediate states.

   Solution of continuity. (Math.) See under Solution.
      [1913 Webster]

WordNet (r) 3.0 (2006):

continuity
    n 1: uninterrupted connection or union [ant: discontinuity]
    2: a detailed script used in making a film in order to avoid
       discontinuities from shot to shot
    3: the property of a continuous and connected period of time
       [syn: continuity, persistence]