He received instruction in mathematics from Hobbes, and was early initiated into all the vices of the age by Buckingham and Percy.
He entered with great vigour on his new labours, and in less than a month he was able to report to Buckingham that he had cleared off all outstanding chancery cases.
Coke was in disgrace but not in despair; there seemed to be a way whereby he could reconcile himself to Buckingham, through the marriage of his daughter, who had an ample fortune, to Sir John Villiers, brother of the marquess, who was penniless or nearly so.
His reasons for disapproval he explained to the king and Buckingham, but found to his surprise that their indignation was strongly roused against him.
He received from both bitter letters of reproof; it was rumoured that he would be disgraced, and Buckingham was said to have compared his present conduct to his previous unfaithfulness to Essex.