Śulba Sutra

Hindu text

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July 14, 2026

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The Shulba Sutras are ancient Indian texts that provide rules for constructing altars used in Vedic sacrificial rituals. These texts, dating from around 1000 BCE, are considered part of the Vedangas, or accessory studies to the Vedas.12

The Shulba Sutras contain significant mathematical and geometric knowledge. They include instructions for geometric constructions, such as transforming one shape into another of equal area, and demonstrate an understanding of the Pythagorean theorem, values for pi, and the ratio of a square's diagonal to its side (√2). These geometric principles were essential for accurately building the sacrificial altars, with different altar designs believed to confer specific benefits upon the ritual's sponsor. The mathematical content within the Shulba Sutras highlights the sophisticated level of Indian mathematics during the Vedic period.1

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Hinduism
The Vedangas
…the Vedic repertoire, (2) a Shulba-sutra, which shows how to make the geometric calculations necessary for the proper construction of the ritual arena, (3) a Grihya-sutra, which explains the rules for performing the domestic rites, including the life-cycle rituals (called the samskaras), and (4) a Dharma-sutra, which
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…the Vedic repertoire, (2) a Shulba-sutra, which shows how to make the geometric calculations necessary for the proper construction of the ritual arena, (3) a Grihya-sutra, which explains the rules for performing the domestic rites, including the life-cycle rituals (called the samskaras), and (4) a Dharma-sutra, which
Read More

Pythagorean theorem
…is mentioned in the Baudhayana Sulba-sutra of India, which was written between 800 and 400 bce. Nevertheless, the theorem came to be credited to Pythagoras. It is also proposition number 47 from Book I of Euclid’s Elements.
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…is mentioned in the Baudhayana Sulba-sutra of India, which was written between 800 and 400 bce. Nevertheless, the theorem came to be credited to Pythagoras. It is also proposition number 47 from Book I of Euclid’s Elements.
Read More