Geometry
Three books transform the investigation of geometrical problems by establishing correspondences between constructions, magnitudes and algebraic equations.
Understanding the text
The third essay of 1637 requires mathematical preparation and goes beyond the Discourse’s narrative presentation of method.
Key points
- 01
Algebra
Operations on line segments represent relations of magnitudes and make constructions calculable.
- 02
Curves
Equations distinguish and treat particular families of curves according to their complexity.
- 03
Problems
Solving a problem requires an order of dependence among data, unknowns and possible constructions.
How to read it
Work through an example with pencil and paper. Avoid projecting every modern use of coordinates retrospectively onto the text and its historical notation.
Editions & sources
Summaries and key points are original editorial interpretations. They accompany reading the work and do not replace an edition of the text. Editorial method ↗