E. Cobham Brewer 18101897. Dictionary of Phrase and Fable. 1898.
Tertium Quid.
A third party which shall be nameless. The expression originated with Pythagoras, who, defining bipeds, said
1
Sunt bipes homo, et avis, et tertium quid.
A man is a biped, go is a bird, and a third thing (which shall be nameless).
Iamblichus says this third thing was Pythagoras himself. (Vita Pyth., cxxvii.)
2
In chemistry, when two substances chemically unite, the new substance is called a tertium quid, as a neutral salt produced by the mixture of an acid and alkali.