[syn: inversely, reciprocally]
The Collaborative International Dictionary of English v.0.48:
Reciprocally \Re*cip"ro*cal*ly\ (r[-e]*s[i^]p"r[-o]*kal*l[y^]),
   adv.
   1. In a reciprocal manner; so that each affects the other,
      and is equally affected by it; interchangeably; mutually.
      [1913 Webster]
            These two particles do reciprocally affect each
            other with the same force.            --Bentley.
      [1913 Webster]
   2. (Math.) In the manner of reciprocals.
      [1913 Webster]
   Reciprocally proportional (Arith. & Alg.), proportional, as
      two variable quantities, so that the one shall have a
      constant ratio to the reciprocal of the other.
      [1913 Webster]
WordNet (r) 3.0 (2006):
reciprocally
    adv 1: (often followed by `for') in exchange or in
           reciprocation; "gave up our seats on the plane and in
           return received several hundred dollars and seats on the
           next plane out"; "we get many benefits in return for our
           taxes" [syn: in return, reciprocally]
    2: in a mutual or shared manner; "the agreement was mutually
       satisfactory"; "the goals of the negotiators were not
       reciprocally exclusive" [syn: mutually, reciprocally]
    3: in an inverse or contrary manner; "inversely related";
       "wavelength and frequency are, of course, related
       reciprocally"- F.A.Geldard [syn: inversely, reciprocally]