Webster's Revised Unabridged Dictionary · 1913

Excogitate

Excogitate , transitive verb

[Latin excogitatus, past participle of excogitare to excogitate; ex out + cogitare to think. See Cogitate.]

To think out; to find out or discover by thinking; to devise; to contrive.
Excogitate strange arts. — Stirling
This evidence... thus excogitated out of the general theory. — Whewell

Excogitate , intransitive verb

To cogitate. [Rare] — Bacon