What is the definition of a rigid body according to Wolfram Scienceworld?

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A rigid body is defined as a body R, irrespective of its shape and volume, where the relative distance between any two points remains constant under external forces. This definition emphasizes the unchanging nature of distances within the body during motion. Rigid body motion is characterized by the preservation of these distances, making it a fundamental concept in physics and engineering. Understanding this concept is crucial for analyzing the dynamics of objects in various applications. The definition provided by Wolfram Scienceworld serves as a clear foundation for studying rigid body motion.
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I would like to a complete details on rigid body motion.
 
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Wolfram Scienceworld gives a very neat definition of a rigid body:

"A body R, regardless of shape and volume, with the characteristic that the relative distance between any two points of R remains constant, even if the body is acted upon by external forces."
 
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