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Free Content Descartes' Calculus of Subnormals: What Might Have Been

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René Descartes' method for finding tangents (equivalently, subnormals) depends on geometric and algebraic properties of a family of circles intersecting a given curve. It can be generalized to establish a calculus of subnormals, an alternative to the calculus of Newton and Leibniz. Here we prove subnormal counterparts of the well-known differentiation rules of the calculus.
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Document Type: Research Article

Publication date: 2013-11-01

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