The Collaborative International Dictionary of English v.0.48:

Connect \Con*nect"\ (k[o^]n*n[e^]kt"), v. t. [imp. & p. p.
   Connected; p. pr. & vb. n. Connecting.] [L. connectere,
   -nexum; con- + nectere to bind. See Annex.]
   1. To join, or fasten together, as by something intervening;
      to associate; to combine; to unite or link together; to
      establish a bond or relation between.
      [1913 Webster]

            He fills, he bounds, connects and equals all.
                                                  --Pope.
      [1913 Webster]

            A man must see the connection of each intermediate
            idea with those that it connects before he can use
            it in a syllogism.                    --Locke.
      [1913 Webster]

   2. To associate (a person or thing, or one's self) with
      another person, thing, business, or affair.
      [1913 Webster]

   3. To establish a communication link; -- used with with; as,
      his telephone didn't answer, so I connected with him by
      email.
      [PJC]

   4. To electronically or mechanically link (a device) to
      another device, or to link a device to a common
      communication line; -- used with with; as, the installer
      connected our telephones on Monday; I connected my VCR to
      the TV set by myself; the plumber connected a shut-off
      valve to my gas line.
      [PJC]

   Connecting rod (Mach.), a rod or bar joined to, and
      connecting, two or more moving parts; esp. a rod
      connecting a crank wrist with a beam, crosshead, piston
      rod, or piston, as in a steam engine.
      [1913 Webster]

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]

WordNet (r) 3.0 (2006):

connected
    adj 1: being joined in close association; "affiliated clubs";
           "all art schools whether independent or attached to
           universities" [syn: affiliated, attached,
           connected]
    2: joined or linked together [ant: unconnected]
    3: wired together to an alarm system; "all the window alarms are
       connected"
    4: plugged in; "first check to see whether the appliance is
       connected"
    5: stored in, controlled by, or in direct communication with a
       central computer [syn: machine-accessible, connected]

Moby Thesaurus II by Grady Ward, 1.0:

145 Moby Thesaurus words for "connected":
   affiliate, affiliated, affinitive, agnate, akin, allied,
   articulated, assembled, associate, associated, banded together,
   bound, bracketed, catenated, ceaseless, clean-cut, clear,
   clear as crystal, clear as day, clear-cut, cognate, coherent,
   collateral, collected, concatenated, congeneric, congenerous,
   congenial, conjoined, conjugate, connate, connatural, consecutive,
   consistent, conspecific, constant, continual, continued,
   continuing, continuous, copulate, correlated, correlative, coupled,
   crisp, crystal-clear, crystalline, cyclical, defined, definite,
   direct, distinct, enate, endless, explicit, express, featureless,
   gapless, gathered, hand-in-glove, hand-in-hand, immediate,
   implicated, incessant, incorporated, integrated, interlinked,
   interlocked, interminable, interrelated, intimate, involved,
   joined, jointless, knotted, leagued, limpid, linked,
   loud and clear, lucid, luminous, matched, mated, merged,
   monotonous, never-ending, nonstop, of that ilk, of that kind,
   orderly, paired, parallel, pellucid, perennial, periodic,
   perspicuous, plain, recurrent, related, repetitive,
   round-the-clock, running, seamless, sequent, sequential, serial,
   serried, simple, smooth, spliced, stable, steady, straight,
   straightforward, tied, tight, translucent, transparent,
   transpicuous, twenty-four-hour, twinned, unambiguous, unbroken,
   unceasing, unconfused, undifferentiated, undivided, unending,
   unequivocal, uniform, unintermitted, unintermittent,
   unintermitting, uninterrupted, united, univocal, unmistakable,
   unrelieved, unremitting, unseparated, unstopped, wed, wedded,
   well-defined, yoked