Euclidean Axiom (Noun)
Meaning
(mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The euclidean axiom of parallels is used to distinguish Euclidean geometry from non-Euclidean geometry.
- Euclid's work is based on five postulates or euclidean axioms which were considered to be obvious truths.
- The euclidean axiom of plane separability asserts the existence of a plane passing through three distinct non-collinear points.
- A set of five euclidean axioms for geometry is usually taught to school students in the form of points, lines, and planes.
- Mathematicians agree that euclidean axioms can be expressed in a number of equivalent ways without affecting their inherent validity.