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third-person singular simple present excogitates, present participle excogitating, simple past and past participle excogitated
To think over something carefully; to consider fully; cogitate. quotations examples
The first organs which Gall excogitated, he placed in the region of the sinus; and it is manifest he was then in happy unacquaintance with everything connected with that obnoxious cavity.
1859–1860, William Hamilton, edited by H[enry] L[ongueville] Mansel and John Veitch, Lectures on Metaphysics and Logic […], volumes (please specify |volume=I to IV), Edinburgh, London: William Blackwood and Sons
Did he ponder the harmony of the spheres? Certainly not: celestial spheres were first excogitated decades or more after Pythagoras' death.
2007, M. F. Burnyeat, ‘Other Lives’, London Review of Books 29:4, p. 3
To reach as a conclusion through reason or careful thought. quotations examples
This evidence […] thus excogitated out of the general theory.
1837, William Whewell, History of the Inductive Sciences