The Collaborative International Dictionary of English v.0.48:

Evade \E*vade"\ (?), v. t. [imp. & p. p. Evaded; p. pr. & vb.
   n.. Evading.] [L. evadere, evasum, e out + vadere to go,
   walk: cf. F. s'['e]vader. See Wade.]
   To get away from by artifice; to avoid by dexterity,
   subterfuge, address, or ingenuity; to elude; to escape from
   cleverly; as, to evade a blow, a pursuer, a punishment; to
   evade the force of an argument.
   [1913 Webster]

         The heathen had a method, more truly their own, of
         evading the Christian miracles.          --Trench.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Evade \E*vade"\, v. t.
   1. To escape; to slip away; -- sometimes with from. "Evading
      from perils." --Bacon.
      [1913 Webster]

            Unarmed they might
            Have easily, as spirits evaded swift
            By quick contraction or remove.       --Milton.
      [1913 Webster]

   2. To attempt to escape; to practice artifice or sophistry,
      for the purpose of eluding.
      [1913 Webster]

            The ministers of God are not to evade and take
            refuge any of these . . . ways.       --South.

   Syn: To equivocate; shuffle. See Prevaricate.
        [1913 Webster]

WordNet (r) 3.0 (2006):

evade
    v 1: avoid or try to avoid fulfilling, answering, or performing
         (duties, questions, or issues); "He dodged the issue"; "she
         skirted the problem"; "They tend to evade their
         responsibilities"; "he evaded the questions skillfully"
         [syn: hedge, fudge, evade, put off, circumvent,
         parry, elude, skirt, dodge, duck, sidestep]
    2: escape, either physically or mentally; "The thief eluded the
       police"; "This difficult idea seems to evade her"; "The event
       evades explanation" [syn: elude, evade, bilk]
    3: practice evasion; "This man always hesitates and evades"
    4: use cunning or deceit to escape or avoid; "The con man always
       evades"

Moby Thesaurus II by Grady Ward, 1.0:

128 Moby Thesaurus words for "evade":
   abstain, around the bush, avoid, back and fill, bail out,
   beat about, beg, beg the question, bicker, bilk, blench, blink,
   boggle, break away, break jail, break loose, bypass, cavil, cheat,
   choplogic, circumvent, cop out, cringe, cut loose, deceive, ditch,
   dodge, double, draw back, duck, duck the issue, elude, equivocate,
   escape, escape prison, eschew, evade the issue, fade, fall back,
   falsify, fence, flee, flinch, fly, fly the coop, foil, frustrate,
   fudge, get around, get away, get away from, get clear of, get free,
   get out, get out of, get round, give the runaround, give the slip,
   go one better, hang back, hedge, hem and haw, hum and haw, jib,
   jump, lie, make a getaway, mince the truth, mince words, mystify,
   nitpick, obscure, outfigure, outflank, outgeneral, outguess,
   outmaneuver, outplay, outreach, outsmart, outwit, overreach,
   palter, parry, pass the buck, pick nits, prevaricate, pull back,
   pussyfoot, quail, quibble, recoil, reel back, retreat, shake,
   shake off, sheer off, shift, shift about, shirk, shrink,
   shrink back, shuffle, shuffle out of, shun, shy, sidestep,
   sit it out, skip, skirt, slip away, slip the collar, split hairs,
   stand neuter, start aside, start back, stonewall, straddle, swerve,
   tergiversate, thwart, trim, turn aside, victimize, waffle, weasel,
   weasel out, wince