Generalizations of Pythagoras Theorem to Polygons by Ram Bilas Misra

Generalizations of Pythagoras Theorem to Polygons by Ram Bilas Misra

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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Misra, Ram Bilas: - Prof. Dr. Ram Bilas Misra, a former Vice-Chancellor of Avadh University, Faizabad (Ayodhya), India, has a long experience of teaching at different universities in India and abroad. He is a 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).

SKU	Unavailable
ISBN 13	9781925823813
ISBN 10	1925823814
Title	Generalizations of Pythagoras Theorem to Polygons
Author	Ram Bilas Misra
Series	Mathematics
Condition	Unavailable
Binding Type	Paperback
Publisher	Central West Publishing
Year published	2020-06-30
Number of pages	138
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.