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]