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.
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Euclid can refer to several different concepts, depending on the context: 1. **Mathematician**: Euclid (circa 300 BC) was a Greek mathematician often referred to as the "Father of Geometry." He is best known for his work "The Elements," a comprehensive compilation of the knowledge of geometry of his time, which systematically presented definitions, postulates, propositions (theorems and problems), and proofs.