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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.
Note: In modern treatments of plain geometry this proposition is given as a postulate. Note: The modern term congruent is used here, replacing Euclid's assertion that ``each part of one triangle is equal to the corresponding part of the other.. The Elements -- Book I. Proposition I-5.