Journal :   International Journal of Technology

Volume No. :   9

Issue No. :  2

Year :  2019

Pages :   43-44

ISSN Print :  2231-3907

ISSN Online :  2231-3915


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An Amusing Emergence of the Pythagorean Theorem from Circular Planetary Motions

Address:   Amitava Biswas1, Abhishek Bisaria2
1The University of Southern Mississippi ,SHS Department, Hattiesburg, Mississippi, USA.
2Spectral D &T. Bridgewater, New Jersey, USA.
*Corresponding Author
DOI No: 10.5958/2231-3915.2019.00010.5

We present here an unusual example where a simple geometric theorem emerges from a complex mechanism. Even if the reader is familiar with the Pythagorean theorem [1-3] and how to calculate the area of a circle, this example may provide a little surprise. We have utilized a basic rule from mechanics, that two points on any arbitrarily moving rigid body always remain at a fixed distance apart, and their relative motion is always tangential and never radial [4]. We have also utilized a basic planetary phenomenon that Earth must complete 366 rotations about its axis when circling around the Sun in 365 days [5]. That is because, one additional rotation about its axis must be completed for going around the Sun, with reference to a fixed reference such as a distant star. Likewise, with reference to a fixed reference, the Moon must complete one rotation about its axis when going around Earth, although the near side of the Moon remains towards Earth during the motion.
Pythagorean Theorem Circular Planetary Motions.
Amitava Biswas, Abhishek Bisaria. An Amusing Emergence of the Pythagorean Theorem from Circular Planetary Motions. Int. J. Tech. 2019; 9(2):43-44.
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