Wikinventia — Atlas of discoveries and inventions · Exploration Age

Unification of algebra and geometry — René Descartes

1637 AD · Transmission: Parallel
MathematicsMethodFrench

Descartes's La Géométrie transformed the relationship between figures and equations by showing that any geometric curve could be expressed as an algebraic equation and vice versa. That union created the conceptual space of calculus: variation, slope, and area could now be thought of over algebraized objects. Published as an appendix to the Discours de la Méthode, it is probably the most decisive conceptual link between Viète's symbolic algebra and the calculus of Leibniz and Newton.

Historical regionFrance / Netherlands
Primary sourceDescartes, R. — La Géométrie, appendix to Discours de la Méthode (Leiden, 1637)
Secondary sourceBos, H.J.M. — Redefining Geometrical Exactness: Descartes' Transformation of the Early Modern Concept of Construction (2001, Springer)
Original languageFrench
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