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Euclid's Postulates. 1. A straight line segment can be drawn joining any two points. 2. Any straight line segment can be extended indefinitely in a straight line.3. Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.4.All right angles are congruent. 5.uclid's Postulates. 1. A straight line segment can be drawn joining any two points. 2. Any straight line segment can be extended indefinitely in a straight line.
So, in geometry, we take a point, a line and a plane (in Euclidâs words a plane surface) as undefined terms. The only thing is that we can represent them intuitively, or explain them with the help of âphysical modelsâ. Starting with his definitions, Euclid assumed certain properties, which were not to be proved.uclid deduced 465 propositions in a logical chain using his axioms, postulates, definitions and theorems proved earlier in the chain. In the next few chapters on geometry, you will be using these axioms to prove some theorems.