The irony here is quite remarkable: Hobbes, who would later spend years publishing and defending numerous attempts to square the circle, published his first mathematical work as part of a campaign to silence an old circle squarer. Indeed, less than a decade after his participation in Pell's battle with Longomontanus, Hobbes would find himself involved in a prolonged and bitter controversy that centered on his claims to have squared the circle, and he would go to his grave insisting that he had solved this ancient geometrical problem.
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Douglas M. Jesseph, Squaring the Circle: The War Between Hobbes and Wallis (2000)