What is the difference between an axiom and a theorem?
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true. ...
Asked in Math and Arithmetic, Geometry
If there sides of a triangle are respectively equal to the three sides of another triangle the two triangles are we call this as axiom?
It is not an axiom, but a theorem.
Asked in Definitions
What is the best definition for the word axiom?
An axiom is a truth recognised universally, or an established principle or rule. It is a self-evident statement such as the famous axiom by Rene Descartes: I think therefore I am. It is obvious that were one to think, that one would be - this is self evident. ...
What does axiom means?
An axiom is an assumption that is assumed to be true in some mathematical system. The axioms of geometry are historically called postulates. Intuitively an axiom is a statement whose truth is self-evident. Mathematical axioms need not be self-evident or true in any real-world sense. An axiom of one mathematical system may be false in a different system. ...