The Collaborative International Dictionary of English v.0.48:

Discursive \Dis*cur"sive\, a. [Cf. F. discursif. See
   Discourse, and cf. Discoursive.]
   1. Passing from one thing to another; ranging over a wide
      field; roving; digressive; desultory. "Discursive
      notices." --De Quincey.
      [1913 Webster]

            The power he [Shakespeare] delights to show is not
            intense, but discursive.              --Hazlitt.
      [1913 Webster]

            A man rather tacit than discursive.   --Carlyle.
      [1913 Webster]

   2. Reasoning; proceeding from one ground to another, as in
      reasoning; argumentative.
      [1913 Webster]

            Reason is her being,
            Discursive or intuitive.              --Milton.
      -- Dis*cur"sive*ly, adv. -- Dis*cur"sive*ness, n.
      [1913 Webster]

WordNet (r) 3.0 (2006):

discursively
    adv 1: in a rambling manner [syn: discursively, ramblingly]