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CONCEPT OF PYTHAGOREAN THEOREM AND TRIPLES AND ITS EXPANSION SINCE EARLY PERIOD TO MEDIEVAL PERIOD IN INDIA

机译:毕达哥兰定理和三元的概念及其自印度中世纪早期以来的扩展

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摘要

This article examines the relevance of 'The Pythagorean Triples' in mathematics based on (a) geometry during ancient Vedic period and (b) arithmetic and geometry in classical medieval period. Baudhayana recorded in Sulba Sutras (aphorism) that square of diagonal of a rectangle was the sum of squares of its adjoining two sides sometime around 800 BCE. Sutras were used for preparing altars in performing sacrificial rites. Following him, other Sulbakaras during 800-200 BCE and number of commentators afterwards enriched the geometry towards proto-algebra at its, height and. Great masters of Indian mathematics in its medieval period had shown their prowess for independent development of algebraic form of solutions of Pythagorean triples while dealing with the relation of sides of triangle and quadrilateral.
机译:本文介绍了“毕达哥拉斯三元”在古代VEDIC期间(A)几何中的数学中的“毕达哥拉斯三人”和(B)算术与几何形状在古典中世纪时期的几何中的相关性。 Baudhayana录制在苏尔巴萨图里(Aphorism)中,矩形对角线的正方形是其毗邻的两侧的平方和在800年约为800 bce。 Sutras用于准备执行牺牲仪式的祭坛。 跟随他,其他Sulbakaras在800-200 BCE期间和之后的评论员数量富集了几何形状,以其高度和地区的原始代数。 印度数学的大师在中世纪时期展示了他们的实力,用于独立于毕达哥拉斯三元组件的代数形式的独立发展,同时处理三角形和四边形双边的关系。

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