A way to defined geometry without talking about coordinates, i.e. like Euclid's Elements, notably Euclid's postulates, as opposed to Descartes's Real coordinate space.
There are 5: en.wikipedia.org/w/index.php?title=Euclidean_geometry&oldid=1036511366#Axioms, the parallel postulate being the most controversial/interesting.
Articles by others on the same topic
Euclid's "Elements" is a comprehensive mathematical work composed by the ancient Greek mathematician Euclid around 300 BCE. It is one of the most influential works in the history of mathematics and serves as a foundational text in geometry. The "Elements" consists of 13 books that cover various topics in mathematics, including: 1. **Plane Geometry**: The first six books focus on the properties of plane figures, such as points, lines, circles, and triangles.