Euclid was a Greek mathematician who has been referred to as the 'father of geometry,' due in large part to a book he wrote called Elements. In this 13-volume book, he covers plane geometry, solid geometry, number theory, arithmetic theory, and irrational numbers. Quite possibly the most essential idea of Elements is the manner in which Euclid devised the logical steps necessary in proving assumptions. These assumptions are called axioms or postulates and are statements that are accepted as true without proof. He divided his ten axioms, which he called postulates, into two groups.
In simple language, Euclid's ten postulates are as follows:
In our geometry class, we will be learning about the fundamental ideas as indicated in Euclid's last five postulates.
So, what is the difference between an axiom and a postulate?
An axiom is a statement that is a 'given' and does not have to be proven. A postulate forms the basis for a theorem; it is the starting point.
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