The Collaborative International Dictionary of English v.0.48:

Border \Bor"der\, v. i. [imp. & p. p. Bordered; p. pr. & vb.
   n. Bordering.]
   1. To touch at the edge or boundary; to be contiguous or
      adjacent; -- with on or upon as, Connecticut borders on
      Massachusetts.
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   2. To approach; to come near to; to verge.
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            Wit which borders upon profaneness deserves to be
            branded as folly.                     --Abp.
                                                  Tillotson.
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