In this essay I analyze the solutions given by Isaac Newton and Johann Bernoulli to a well-posed mathematical problem known in the eighteenth century as the ‘inverse problem of central forces’. This work prompted polemical exchanges between two rival groups: the first, whose leader was Newton, was based in Oxford, Cambridge, and London; the second, whose leading representatives were Leibniz and Bernoulli, was scattered througout Europe, though centered in Basel and Paris.
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