We see many magic square examples of numbers where sum of numbers in horizontal, vertical and diagonal directions in a grid of numbers is same.
I came across an old Sanskrit book "Ganita Kaumudi" on mathematics written by Indian mathematician Narayana Pandit in 1356.
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Besides many rules and derivations of arithmetic computations, continued fractions and geometric propositions involving polygons and circles and conical sections, it gives methods for constructing magic squares of different types.
I give below some scanned pages to show Sanskrit Sutras of magic squares and number grids not only in square shape but Circular and other patterns.
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I have uploaded all pages of both Part I and Part II of this book on our website www.sanskritdeepika.org for easy access to this valuable information for further study.
References
Ganita Kaumudi, Part-1, Nārāyana Pandita (Issue 57 of Princess of Wales Sarasvati Bhavana Granthamala,1936)
Ganita Kaumudi Part-2 (1942)
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