Webster's Revised Unabridged Dictionary · 1913

Reciprocally

Reciprocally (re*sip"ro*kal*ly) , adverb

1.
In a reciprocal manner; so that each affects the other, and is equally affected by it; interchangeably; mutually.
These two particles do reciprocally affect each other with the same force. — Bentley
2.
(Mathematics) In the manner of reciprocals.
Collocations (1)
Reciprocally proportional (Arithmetic & Algebra) , proportional, as two variable quantities, so that the one shall have a constant ratio to the reciprocal of the other.