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

ABSTRACT:
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.
KEYWORDS:
Pythagorean Theorem Circular Planetary Motions.
Cite:
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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