The Collaborative International Dictionary of English v.0.48:

Coincide \Co`in*cide"\, v. i. [imp. & p. p. Coincided; p. pr.
   & vb. n. Coinciding.] [L. co- + incidere to fall on; in +
   cadere to fall: cf. F. co["i]ncider. See Chance, n.]
   1. To occupy the same place in space, as two equal triangles,
      when placed one on the other.
      [1913 Webster]

            If the equator and the ecliptic had coincided, it
            would have rendered the annual revoluton of the
            earth useless.                        --Cheyne.
      [1913 Webster]

   2. To occur at the same time; to be contemporaneous; as, the
      fall of Granada coincided with the discovery of America.
      [1913 Webster]

   3. To correspond exactly; to agree; to concur; as, our aims
      coincide.
      [1913 Webster]

            The rules of right jugdment and of good
            ratiocination often coincide with each other.
                                                  --Watts.
      [1913 Webster]

Moby Thesaurus II by Grady Ward, 1.0:

58 Moby Thesaurus words for "coinciding":
   accordant, affirmative, agreeable, agreeing, answerable, at one,
   coequal, coexistent, coexisting, coextensive, coherent, coincident,
   coincidental, commensurate, compatible, concordant, concurring,
   conformable, congenial, congruent, congruous, consentaneous,
   consentient, consistent, consonant, cooperating, cooperative,
   correspondent, corresponding, coterminous, en rapport, equal,
   equivalent, harmonious, in accord, in agreement, in rapport,
   in sync, in synchronization, inaccordance, inharmony, like-minded,
   of a piece, of like mind, of one mind, on all fours, positive,
   proportionate, reconcilable, self-consistent, symbiotic,
   synchronized, synchronous, synonymous, unanimous, uniform,
   unisonant, unisonous