The Collaborative International Dictionary of English v.0.48:

Corresponding \Cor`re*spond"ing\, a.
   1. Answering; conformable; agreeing; suiting; as,
      corresponding numbers.
      [1913 Webster]

   2. Carrying on intercourse by letters.
      [1913 Webster]

   Corresponding member of a society, one residing at a
      distance, who has been invited to correspond with the
      society, and aid in carrying out its designs without
      taking part in its management.
      [1913 Webster]