Wordnet 3.0
NOUN (1)
1. 
 a follower of Cartesian thought; 
ADJECTIVE (1)
1. 
 of or relating to Rene Descartes or his works; 
- Example: "Cartesian linguistics"
The Collaborative International Dictionary of English v.0.48:
Cartesian \Car*te"sian\, n.
   An adherent of Descartes.
   [1913 Webster]
The Collaborative International Dictionary of English v.0.48:
Cartesian \Car*te"sian\, a. [From Renatus Cartesius, Latinized
   from of Ren['e] Descartes: cf. F. cart['e]sien.]
   Of or pertaining to the French philosopher Ren['e] Descartes,
   or his philosophy.
   [1913 Webster]
         The Cartesion argument for reality of matter. --Sir W.
                                                  Hamilton.
   [1913 Webster]
   Cartesian coordinates (Geom), distance of a point from
      lines or planes; -- used in a system of representing
      geometric quantities, invented by Descartes.
   Cartesian devil, a small hollow glass figure, used in
      connection with a jar of water having an elastic top, to
      illustrate the effect of the compression or expansion of
      air in changing the specific gravity of bodies.
   Cartesion oval (Geom.), a curve such that, for any point of
      the curve mr + m'r' = c, where r and r' are the distances
      of the point from the two foci and m, m' and c are
      constant; -- used by Descartes.
      [1913 Webster]
WordNet (r) 3.0 (2006):
Cartesian
    adj 1: of or relating to Rene Descartes or his works; "Cartesian
           linguistics"
    n 1: a follower of Cartesian thought
The Devil's Dictionary (1881-1906):
CARTESIAN, adj.  Relating to Descartes, a famous philosopher, author
of the celebrated dictum, _Cogito ergo sum_ -- whereby he was pleased
to suppose he demonstrated the reality of human existence.  The dictum
might be improved, however, thus:  _Cogito cogito ergo cogito sum_ --
"I think that I think, therefore I think that I am;" as close an
approach to certainty as any philosopher has yet made.