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]

Moby Thesaurus II by Grady Ward, 1.0:

167 Moby Thesaurus words for "continuity":
   accordance, action, anagnorisis, angle, architectonics,
   architecture, argument, atmosphere, background, book, calm,
   catastrophe, ceaselessness, characterization, chattering,
   chronology, color, coming after, complication, connectedness,
   connection, consecution, consecutiveness, consistency, consonance,
   constancy, constant flow, continualness, continuance, continuation,
   contrivance, correspondence, cue, degree, denouement, descent,
   design, development, device, duration, duree, endurance, episode,
   equability, equanimity, equilibrium, evenness, extension, fable,
   falling action, following, gimmick, gradation, hierarchy,
   homogeneity, incessancy, incident, lastingness, lengthening,
   libretto, line, lineage, lines, local color, logical sequence,
   maintenance, monolithism, mood, motif, movement, mythos,
   noninterruption, order, order of succession, orderliness,
   oscillation, period, peripeteia, perpetuation, perpetuity,
   perseverance, persistence, place, plan, playbook, plot,
   posteriority, postposition, procession, progress, progression,
   prolongation, protraction, psychological time, pulsation,
   pursuance, quick fire, rank, rapid fire, rapid recurrence,
   rapid succession, rapidity, recognition, regularity, repetition,
   rising action, rotation, run, scenario, scene plot, scheme, score,
   script, secondary plot, sequence, serial order, series,
   shooting script, side, slant, space, space-time, stability,
   staccato, staying power, steadfastness, steadiness, story,
   straight course, structure, stuttering, subject, subjunction,
   subordination, subplot, succession, successiveness, suffixation,
   sustained action, sustainment, sustenance, switch, tattoo, tense,
   term, text, the future, the past, the present,
   thematic development, theme, tide, time, timebinding, tone, topic,
   twist, uniformity, unintermission, uninterrupted course,
   uninterruption, unity, unremittingness, unruffledness, vibration,
   way, while