The Collaborative International Dictionary of English v.0.48:

Baconian \Ba*co"ni*an\, a.
   Of or pertaining to Lord Francis Bacon, or to his system of
   philosophy.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Baconian \Ba*co"ni*an\, n.
   1. One who adheres to the philosophy of Lord Bacon.
      [Webster 1913 Suppl.]

   2. One who maintains that Lord Bacon is the author of the
      works commonly attributed to Shakespeare.
      [Webster 1913 Suppl.]

   Baconian method, the inductive method. See Induction.
      [1913 Webster]