Generalizations of Pythagoras Theorem to Polygons

Ram Bilas Misra

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English

Central West Publishing
30 June 2020

Reference; Algebra; Differential calculus & equations; Technology, Engineering & Agriculture

Series: Mathematics

The book deals with the generalizations of Pythagoras theorem to polygons. The celebrated result of the Pythagoras theorem representing the sum of squares of two (positive) integers as the square of another integer has been extended to quadrilaterals composed of two right triangles so that the sum of squares of its first three sides equals the square of the remaining side. In the language of algebra, integral solutions of a quadratic equation a2 + b2 + c2 = d2 are explored. The first 18 Sections in the first chapter deal with the special cases when the length of the fourth side exceeds that of the third side by numeric values: 1-17. The last section consists of some miscellaneous results.

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By: Ram Bilas Misra
Imprint: Central West Publishing
Dimensions: Height: 229mm, Width: 152mm, Spine: 8mm
Weight: 195g
ISBN: 9781925823813
ISBN 10: 1925823814
Series: Mathematics
Pages: 138
Publication Date: 30 June 2020
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active

Prof. Dr. Ram Bilas Misra, a former Vice-Chancellor of Avadh University, Faizabad (Ayodhya), India, has a long experience of teaching the subject since 1962 at different universities in India and abroad. He published 64 original research papers in Diff. Geom. of Finslerian Manifolds and Mathematical Physics in the leading research journals of international repute. As a regular reviewer, he published reviews of over 100 research papers in Mathl. Reviews and Zentralblatt für Mathematik. He has been frequently quoted both at home and abroad; notably, in the research monographs Foundations of Finsler Geometry and Special Finsler Spaces by Prof. Makoto Matsumoto of Kyoto Univ., Japan and Finsler Geometry, Relativity and Gauge Theories by Prof. G.S. Asanov of Moscow State Univ., Russia. Prof. Misra is widely travelled and experienced academician. He has been a frequent visitor to the universities at Turin, Padua and ICTP, Trieste (all in Italy) and a visiting professor to the universities at Sopron (Hungary), Wroclaw (Poland) and Mahatma Gandhi Kashi Vidyapith, Varanasi (India).