The Collaborative International Dictionary of English v.0.48:

Converge \Con*verge"\, v. i. [imp. & p. p. Converged; p. pr. &
   vb. n. Converging.] [Pref. con- + L. vergere to turn,
   incline; cf. F. converger. See Verge, v. i.]
   To tend to one point; to incline and approach nearer
   together; as, lines converge.
   [1913 Webster]

         The mountains converge into a single ridge.
                                                  --Jefferson.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Converging \Con*ver"ging\, a.
   Tending to one point; approaching each other; convergent; as,
   converging lines. --Whewell.
   [1913 Webster]

   Converging rays(Opt.), rays of light, which, proceeding
      from different points of an object, tend toward a single
      point.

   Converging series (Math.), a series in which if an
      indefinitely great number of terms be taken, their sum
      will become indefinitely near in value to a fixed
      quantity, which is called the sum of the series; --
      opposed to a diverging series.
      [1913 Webster]

WordNet (r) 3.0 (2006):

converging
    n 1: the act of converging (coming closer) [syn: convergence,
         converging, convergency]