Generalizations of Pythagoras Theorem to Polygons (Paperback) (ISBN-13: 9781925823813)

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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Author: Ram Bilas Misra
ISBN-10: 1925823814
ISBN-13: 9781925823813
Publisher: Central West Publishing
Language: English
Published: 06/30/2020
Pages: 138
Format: Paperback
Weight: 0.43lbs
Size: 9.00h x 6.00w x 0.30d