A statement, also known as an axiom, which is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived. The whole of Euclidean geometry, for example, is based on five postulates known as Euclid's postulates.

What is postulate in geometry & example?

A postulate is a statement that is accepted as true without having to formally prove it. ... For example, a well-known postulate in mathematics is the segment addition postulate, which states the following: Segment Addition Postulate: If a point, B, is drawn on a line segment AC, then AC is the sum of AB and BC.

What are postulates?

1 : demand, claim 2 a : to assume or claim as true, existent, or necessary b : to assume as an axiom or as a hypothesis advanced as an essential presupposition, condition, or premise of a train of reasoning (as in logic or mathematics)