What did Pierre de Fermat contribute to the field of geometry?

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He also did much to establish coordinate geometry (see Cartesian coordinates ) and invented a number of methods for determining maxima and minima that were later of use to Newton in applying the calculus. He noted without proof, although he claimed to have discovered one, the assertion now known as Fermat's Last Theorem, which states that the equation xn _+_ yn _=_ zn , where x, y, z, and n are nonzero integers, has no solutions for n that are greater than 2.

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