There is no difference - synonymous.
an axiom is a fact/property such as "ac = ca"
a ruler measures the distance and a protractor measures the angles
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
A proof uses postulates and theorems to prove some statement.
Terms that mean the same as "postulate" include "axiom," "assumption," "hypothesis," and "premise." These words all refer to a statement or proposition that is accepted as true without proof, serving as a foundational basis for further reasoning or argumentation.
Educated guess.
an axiom is a fact/property such as "ac = ca"
Playfair Axiom
parallel postulate
In mathematics, a postulate is a statement that is accepted as true without proof, while an axiom is a statement that is considered self-evident and serves as a starting point for logical reasoning. Both are fundamental assumptions used in mathematical reasoning, but postulates are specific to a particular mathematical system, while axioms are more general and foundational.
A postulate or axiom
In classical studies, it is also called a postulate.
A postulate or axiom is an accepted statement of fact.
a ruler measures the distance and a protractor measures the angles
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
properties are based on axioms
Another name for the Playfair Axiom is the Euclid's Parallel Postulate. It states that given a line and a point not on that line, there is exactly one line parallel to the given line passing through the given point.