what iscthe difference between axiomband and postulate
Answers
Step-by-step explanation:
An axiom generally is true for any field in science, while a postulate can be specific on a particular field. It is impossible to prove from other axioms, while postulates are provable to axioms
"✌️ Answer ✌️"
In Geometry, "Axiom" and "Postulate" are essentially interchangeable. In antiquity, they referred to propositions that were "obviously true" and only had to be stated, and not proven. In modern mathematics there is no longer an assumption that axioms are "obviously true". Axioms are merely 'background' assumptions we make. The best analogy I know is that axioms are the "rules of the game". In Euclid's Geometry, the main axioms/postulates are:Given any two distinct points, there is a line that contains them.
Any line segment can be extended to an infinite line.
Given a point and a radius, there is a circle with center in that point and that radius.
All right angles are equal to one another.
If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. (The parallel postulate).