Axioms and Postulates of Euclid

Axioms (or common notions) are statements accepted as universally true and serve as the starting point for logical reasoning. Postulates are assumptions specific to geometry, describing what constructions are possible. Euclid's Elements begins with five axioms and five postulates, which together form the basis for classical geometry.

Important properties

• Axioms are general truths about equality and order.

• Postulates describe geometric constructions (drawing lines, circles, etc.).

• All geometric proofs in Euclidean geometry rely on these axioms and postulates.

• They are accepted without proof and used to prove other statements (theorems).