"Śulbasūtras and Approximate Value of √2", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 2, page no.759-763, February-2021, Available :http://www.jetir.org/papers/JETIR2102089.pdf
Abstract : Śulbasūtras was the oldest mathematical text found in India. The Śulbasūtras contain rich principles of mathematics, basically of ‘geometry’. The outstanding feature of Śulbasūtras is consistency and completeness of geometrical results and application of these results in actual construction shows that Śulbasūtras have deeper significance.
Following statement in Śulbasūtras has great importance because it covers the idea of properties of square. Further it covers the idea of irrational number √2.
prqjL=L;k{.k;kjTtqÆ}Lrkorha Hkwfe dj¨fr A
Meaning: - “The diagonal cord of a square makes double the area”.
Śulbasūtras stated the value of √2=1+1/3+1/(3×4)-1/(3×4×34) .
In this paper contain how Indian mathematicians obtain the value √2 and the geometrical proof for formula √2=1+1/3+1/(3×4)-1/(3×4×34). Hence this value is practically useful and reliable for the geometrical constrictions.
Key Words
Śulbasūtras, Śulbasūtraskāras, Karaṇī, Approximate value of √2
Cite This Article
"Śulbasūtras and Approximate Value of √2", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 2, page no. pp759-763, February-2021, Available at : http://www.jetir.org/papers/JETIR2102089.pdf
Publication Details
Published Paper ID: JETIR2102089
Registration ID: 305661
Published In: Volume 8 | Issue 2 | Year February-2021
"Śulbasūtras and Approximate Value of √2", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 2, page no. pp759-763, February-2021, Available at : http://www.jetir.org/papers/JETIR2102089.pdf