Arithmetic and Geometry: Uncomfortable Allies?

Descartes

Descartes

Descartes

A Powerful Method

A Powerful Method

A Powerful Method

Modern Geometries

Modern Geometries

Modern Geometries

Modern Geometries

Pappus' Theorem

Pappus' Theorem

Angle Trisection

Desargues

Desargues' Theorem

Desargues' Theorem

Desargues' Theorem

Desargues' Theorem

Pappus implies Desargues

Pappus implies Desargues

Pappus implies Desargues

Finite Geometries

Finite Geometries

Finite Geometries

Conclusion