Science & technology

Descartes publishes La Geometrie: algebra meets geometry

1637

In 1637 the French philosopher Rene Descartes published, as an appendix to his Discourse on Method, the essay La Geometrie, which showed how to describe geometrical curves by algebraic equations, by locating points with coordinates measured from fixed axes. The Cartesian coordinate system, named after him, linked algebra and geometry and so enabled analytic geometry, which Pierre de Fermat had also invented independently. It was the essential step towards the calculus of Newton and Leibniz and for much of modern mathematics and physics. The Discourse also contains his famous phrase, 'I think, therefore I am'.

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