![]() Consider a line segment bounded by two points. For any line segment, a circle can be drawn with its centre at one endpoint and the radius of the circle as the length of the line segment. A line is uniquely defined as passing through two points which are used to name it.Ī circle can be drawn with any centre and any radius. Unlike a line segment, a line is not bounded by any endpoint and so can be extended indefinitely in either direction. Postulate – IIĪny straight line can be extended indefinitely on both sides. A line segment is named after the two endpoints with an overbar on them. Thus a line segment is measurable as the distance between the two endpoints. It consists of a series of points bounded by the two endpoints. In Geometry, a line segment is a part of a line that is bounded by 2 distinct points on either end. Postulate – IĪ straight line segment can be formed by joining any two points in space. We will see a brief overview of some of them here. There are 23 definitions or Postulates in Book 1 of Elements (Euclid Geometry). ![]() Euclid introduced the fundamentals of geometry in his book called “Elements”. He is credited with profound work in the fields of algebra, geometry, science, and philosophy. ‘Euclid’ was a Greek mathematician regarded as the ‘Father of Modern Geometry‘. The postulates stated by Euclid are the foundation of Geometry and are rather simple observations in nature. Any statement that is assumed to be true on the basis of reasoning or discussion is a postulate or axiom.
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