excogitate

To think over something carefully; to consider fully; cogitate.

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.

Did he ponder the harmony of the spheres? Certainly not: celestial spheres were first excogitated decades or more after Pythagoras' death.

To reach as a conclusion through reason or careful thought.

After many years of study, he excogitated a solution.

This evidence […] thus excogitated out of the general theory.