There is no difference - synonymous.
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∙ 13y agoan axiom is a fact/property such as "ac = ca"
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
a ruler measures the distance and a protractor measures the angles
A proof uses postulates and theorems to prove some statement.
postulate theorems tell that the lines are parallel, but the converse if asking you to find if the lines are parallel.
Educated guess.
an axiom is a fact/property such as "ac = ca"
Playfair Axiom
parallel postulate
A postulate or axiom
In classical studies, it is also called a postulate.
A postulate or axiom is an accepted statement of fact.
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
a ruler measures the distance and a protractor measures the angles
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.
properties are based on axioms
A postulate is assumed to be true while a theorem is proven to be true. The truth of a theorem will be based on postulates.