The Collaborative International Dictionary of English v.0.48:

connected \connected\ adj.
   1. p. p. of connect. [Narrower terms: abutting, adjacent,
      adjoining, bordering(prenominal), conterminous,
      coterminous, contiguous] [Narrower terms: adjunctive]
      [Narrower terms: affined] [Narrower terms: attached]
      [Narrower terms: contiguous, in contact] [Narrower
      terms: coupled, joined, linked] [Narrower terms:
      cursive, flowing] [Narrower terms: siamese] [Narrower
      terms: socially connected, well-connected] unconnected
      [WordNet 1.5]

   2. being joined in close association.

   Syn: affiliated, attached.
        [WordNet 1.5]

   3. connected by a conductor so as to allow the flow of
      electric signals. [Narrower terms: wired (vs. wireless)]
      WordNet 1.5]

   4. (Music) legato. staccato

   Syn: flowing, smooth.
        [WordNet 1.5]

   5. associated with or accompanying.

   Syn: associated.
        [WordNet 1.5]

   6. (Computers) stored in, controlled by, or in direct
      communication with a central computer. [Narrower terms:
      on-line (vs. off-line), online, on line(predicate)]

   Syn: machine-accessible.
        [WordNet 1.5]

   7. switched on. [Narrower terms: on-line (vs. off-line),
      online, on line(predicate)]

   Syn: ready, on.
        [WordNet 1.5]

   8. having some relation.

   Syn: related.
        [WordNet 1.5]