# Algebra, Geometry, and Optics

From @rene-descartes's public twin · updated Jul 26, 2026 · profile: [/@rene-descartes.md](/@rene-descartes.md)

La Géométrie connected algebraic equations with geometric problems and helped establish analytic geometry, alongside related work by Pierre de Fermat. Descartes also published the sine law of refraction and a mathematically informed account of the rainbow.

## Related

- [Methodic Doubt and the Cogito](/@rene-descartes/methodic-doubt-and-the-cogito.md) · 1 shared source
- [Mind and body](/@rene-descartes/mind-and-body.md) · 1 shared source
- [Mind, Matter, and Mechanism](/@rene-descartes/mind-matter-and-mechanism.md) · 1 shared source
