From The Collaborative International Dictionary of English v.0.48:

Vanishing \Van"ish*ing\,
   a. & n. from Vanish, v.
   [1913 Webster]

   Vanishing fraction (Math.), a fraction which reduces to the
      form 0/0 for a particular value of the variable which
      enters it, usually in consequence of the existence of a
      common factor in both terms of the fraction, which factor
      becomes 0 for this particular value of the variable.
      --Math. Dict.

   Vanishing line (Persp.), the intersection of the parallel
      of any original plane and the picture; one of the lines
      converging to the vanishing point.

   Vanishing point (Persp.), the point to which all parallel
      lines in the same plane tend in the representation.

   Vanishing stress (Phon.), stress of voice upon the closing
      portion of a syllable. --Rush.
      [1913 Webster]

From The Collaborative International Dictionary of English v.0.48:

Vanish \Van"ish\ (v[a^]n"[i^]sh), v. i. [imp. & p. p. Vanished
   (v[a^]n"[i^]sht); p. pr. & vb. n. Vanishing.] [OE.
   vanissen, OF. vanir (in comp.): cf. OF. envanir, esvanir,
   esvanu["i]r, F. s'['e]vanouir; fr. L. vanus empty, vain; cf.
   L. vanescere, evanescere, to vanish. See Vain, and cf.
   [1913 Webster]
   1. To pass from a visible to an invisible state; to go out of
      sight; to disappear; to fade; as, vapor vanishes from the
      sight by being dissipated; a ship vanishes from the sight
      of spectators on land.
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            The horse vanished . . . out of sight. --Chaucer.
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            Go; vanish into air; away!            --Shak.
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            The champions vanished from their posts with the
            speed of lightning.                   --Sir W.
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            Gliding from the twilight past to vanish among
            realities.                            --Hawthorne.
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   2. To be annihilated or lost; to pass away. "All these
      delights will vanish." --Milton.
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