As she waited in the prison anteroom to be admitted, Bitsey read background file clippings from NEWS Magazine's morgue and cogitated on the idea of knowing one's exact date of death beforehand.
-- Dewey Gram, The Life of David Gale
Elliot seems to have been a serious type, given to New Year's Eves reading Shakespeare and cogitating on the sermon preached at his grandfather's funeral.
-- James Reaney, "They partied like it's 1899", London Free Press, January 3, 1999
Doc Leach shifted his pipe from one corner of his mouth to the other and blinked a couple of times. That meant he was cogitating.
-- Monty Roberts, The Man Who Listens To Horses
Cogitate comes from Latin cogitare, "to turn over in one's mind, to reflect, to think, to consider," from co- + agitare, "to put in constant motion, to drive about," from agere, "to drive." It is related to agitate.