draw an example for Euclid's 3rd postulate
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Step-by-step explanation:
Euclid’s Postulates
Any statement that is assumed to be true on the basis of reasoning or discussion is a postulate or axiom. The postulates stated by Euclid are the foundation of Geometry and are rather simple observations in nature. ‘Euclid’ was a Greek mathematician regarded as the ‘Father of Modern Geometry‘.
He is credited with profound work in the fields of algebra, geometry, science, and philosophy. Euclid introduced the fundamentals of geometry in his book called “Elements”. There are 23 definitions or Postulates in Book 1 of Elements (Euclid Geometry). We will see a brief overview of some of them here. Their order is not as in Elements.
Postulate – I
A straight line segment can be formed by joining any two points in space.
Euclid GeometryIn Geometry, a line segment is a part of a line that is bounded by 2 distinct points on either end. It consists of a series of points bounded by the two endpoints. Thus a line segment is measurable as the distance between the two endpoints. A line segment is named after the two endpoints with an overbar on them.
Euclid GeometryPostulate – II
Any straight line can be extended indefinitely on both sides. Unlike a line segment, a line is not bounded by any endpoint and so can be extended indefinitely in either direction. A line is uniquely defined as passing through two points which are used to name it.
Euclid Geometry
Postulate – III
A circle can be drawn with any centre and any radius. 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. Consider a line segment bounded by two points. If one of these points is taken as the centre of a circle and the radius of the circle is taken as equal to the length of the segment, a circle can be drawn with its diameter twice than the length of the line segment.
Euclid Geometry
Answer:
this is the Euclid 3 postulate
Step-by-step explanation:
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