The Collaborative International Dictionary of English v.0.48:

Pursue \Pur*sue"\, v. t. [imp. & p. p. Pursued; p. pr. & vb.
   n. Pursuing.] [OE. pursuen, porsuen, OF. porsivre,
   poursuivre, poursuir, F. poursuivre, fr. L. prosequi; pro
   forward + sequi to follow. See Sue, and cf. Prosecute,
   Pursuivant.]
   1. To follow with a view to overtake; to follow eagerly, or
      with haste; to chase; as, to pursue a hare.
      [1913 Webster]

            We happiness pursue; we fly from pain. --Prior.
      [1913 Webster]

            The happiness of men lies in purswing,
            Not in possessing.                    --Longfellow.
      [1913 Webster]

   2. To seek; to use or adopt measures to obtain; as, to pursue
      a remedy at law.
      [1913 Webster]

            The fame of ancient matrons you pursue. --Dryden.
      [1913 Webster]

   3. To proceed along, with a view to some and or object; to
      follow; to go in; as, Captain Cook pursued a new route;
      the administration pursued a wise course.
      [1913 Webster]

   4. To prosecute; to be engaged in; to continue. " Insatiate
      to pursue vain war." --Milton.
      [1913 Webster]

   5. To follow as an example; to imitate.
      [1913 Webster]

   6. To follow with enmity; to persecute; to call to account.
      [1913 Webster]

            The servant is not greater than his lord. If they
            have pursued me, they shall pursue you also.
                                                  --Wyclif (John
                                                  xv. 20).
      [1913 Webster]

   Syn: To follow; chase; seek; persist. See Follow.
        [1913 Webster]

WordNet (r) 3.0 (2006):

pursuing
    adj 1: following in order to overtake or capture or as
           accompaniment to such pursuit; "the fox fled from the
           pursuing hounds"; "listened for the hounds' pursuing
           bark"