A new study in the Archive for History of Exact Sciences has applied modern computational geometry to the 800 BCE Baudhayana Sulba Sutras. The researchers found that the geometric instructions for constructing the 'Shyena-chiti' (eagle-shaped altar) utilize sophisticated approximations for the square root of two and precise area-preserving transformations.
The study proves that Vedic mathematicians had a functional understanding of what is now known as the Pythagorean theorem and the 'squaring of the circle' centuries before Greek geometry flourished. This research validates the Sulba Sutras not just as ritual manuals, but as highly advanced mathematical treatises that employed rigorous proof-like logic for architectural engineering.