The Collaborative International Dictionary of English v.0.48:

Quiddit \Quid"dit\, n. [Cf. Quiddity, Quillet, and
   Quibble.]
   A subtilty; an equivocation. [Obs.] --Shak.
   [1913 Webster]

         By some strange quiddit or some wrested clause.
                                                  --Drayton.
   [1913 Webster]