The Collaborative International Dictionary of English v.0.48:

Trespass \Tres"pass\, n. [OF. trespas, F. tr['e]pas death. See
   Trespass, v.]
   1. Any injury or offence done to another.
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            I you forgive all wholly this trespass. --Chaucer.
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            If ye forgive not men their trespasses, neither will
            your Father forgive your trespasses.  --Matt. vi.
                                                  15.
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   2. Any voluntary transgression of the moral law; any
      violation of a known rule of duty; sin.
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            The fatal trespass done by Eve.       --Milton.
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            You . . . who were dead in trespasses and sins.
                                                  --Eph. if. 1.
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   3. (Law)
      (a) An unlawful act committed with force and violence (vi
          et armis) on the person, property, or relative rights
          of another.
      (b) An action for injuries accompanied with force.
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   Trespass offering (Jewish Antiq.), an offering in expiation
      of a trespass.

   Trespass on the case. (Law) See Action on the case, under
      Case.
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   Syn: Offense; breach; infringement; transgression;
        misdemeanor; misdeed.
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Easton's 1897 Bible Dictionary:

Trespass offering
   (Heb. 'asham, "debt"), the law concerning, given in Lev.
   5:14-6:7; also in Num. 5:5-8. The idea of sin as a "debt"
   pervades this legislation. The _asham_, which was always a ram,
   was offered in cases where sins were more private. (See OFFERING.)