1637 (publication) / Europe
La Géométrie connects curves with equations
Descartes used algebraic operations to investigate geometrical problems, helping connect curves with equations.

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The story
Published in Leiden as an essay accompanying the Discourse on Method, La Géométrie developed algebraic approaches to constructions and curves. It built on earlier algebra and geometry; Fermat independently developed related methods. The book did not contain the complete Cartesian-coordinate presentation familiar from modern classrooms, and later notation should not all be assigned to 1637.
Connections and context
Equations made curves easier to compare and helped prepare tools for calculus and physical modelling.
Dates and precision
1637 (publication) Documented date
Positioned by the documented year, month or day. Missing precision is not inferred.
Representative map location
Leiden
The marker identifies the first edition’s publication city, not every site of research or Fermat’s independent work.
Representative coordinates · 52.16°, 4.497°
A marker identifies one representative place, such as a manuscript collection, laboratory or observing site. It does not mean the work happened only there, or assign a shared discovery to one country.
Bibliography
- Wellcome Collection: Discours de la méthode, with La Géométrie (1637)
- Edward Worth Library: Descartes and algebraic geometry
References are listed as plain bibliography titles. They support particular facts or context; a reference does not certify every interpretation in a story.