The Collaborative International Dictionary of English v.0.48:
Imaginary \Im*ag"i*na*ry\, a. [L. imaginarius: cf. F.
   imaginaire.]
   Existing only in imagination or fancy; not real; fancied;
   visionary; ideal.
   [1913 Webster]
         Wilt thou add to all the griefs I suffer
         Imaginary ills and fancied tortures?     --Addison.
   [1913 Webster]
   Imaginary calculus See under Calculus.
   Imaginary expression or Imaginary quantity (Alg.), an
      algebraic expression which involves the impossible
      operation of taking the square root of a negative
      quantity; as, [root]-9, a + b [root]-1.
   Imaginary points, lines, surfaces, etc. (Geom.),
      points, lines, surfaces, etc., imagined to exist, although
      by reason of certain changes of a figure they have in fact
      ceased to have a real existence.
   Syn: Ideal; fanciful; chimerical; visionary; fancied; unreal;
        illusive.
        [1913 Webster]