What is an Axiom?

*Definitions of Axiom*

- An established rule, principle, or law
- A self-evident or universally recognized truth
- A self-evident principle or one that is accepted as true without proof as the basis for argument

*Examples of Axioms from Euclidean Geometry*

- Each two distinct points determine a (unique) line.
- Three noncollinear points determine a (unique) plane.
- If
*l*is any line and P any point not on*l*, there exists in the plane of*l*and P one and only one line*m*that passes through P and is parallel to*l*.

Example of an axiom pertinent to the discussion