The Collaborative International Dictionary of English v.0.48:

Base \Base\ (b[=a]s), v. t. [imp. & p. p. Based (b[=a]sd); p.
   pr. & vb. n. Basing.] [From Base, n.]
   To put on a base or basis; to lay the foundation of; to
   found, as an argument or conclusion; -- used with on or upon.
   --Bacon.
   [1913 Webster]