This article examines Hobbes's reaction to the analytic geometry of Descartes and the" method of indivisibles" introduced by Cavalieri—the two most important mathematical methods ofhis day. After a brief overview of Hobbe sian philosophy of mathematics, it shows that his rejection of analytic geometry is based on a conception of geometry as a general science of bodies, which has no need of algebraic or analytic methods. Hobbes's attitude toward the method of indivisi bles is more complex and equivocal: he accepts the method as it is presented by Cava lieri and uses it in De Corpore, but he rejects Wallis's formulation of the method in his Arithmetica Infinitorum and other works.(*) A bibliography at the end of this article provides complete references for works cited in the text and in notes. I use the following abbreviations for Hobbes's works: De Corpore (London, 1655) is abbreviated as" DeC," Examinatio et emendatio mathematicae hodiernae (London, 1660) as" Examinatio," Six Lessons to the Savilian Professors of Mathematics (London, 1656) as" Six Lessons," Lux Mathematica (London, 1672) as" LA/" and Deprinci piis et ratiocinatione geometrarum (London, 1666) as" PRG." The format includes (abbre