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Part of a series of articles on the
mathematical constant π
3.1415926535897932384626433...
Uses
Area of a circle
Circumference
Use in other formulae
Properties
Irrationality
Transcendence
Value
Less than 22/7
Approximations
Madhava's correction term
Memorization
People
Archimedes
Liu Hui
Zu Chongzhi
Aryabhata
Madhava
Jamshīd al-Kāshī
Ludolph van Ceulen
François Viète
Seki Takakazu
Takebe Kenko
William Jones
John Machin
William Shanks
Srinivasa Ramanujan
John Wrench
Chudnovsky brothers
Yasumasa Kanada
History
Chronology
A History of Pi
In culture
Indiana pi bill
Pi Day
Related topics
Squaring the circle
Basel problem
Six nines in π
Other topics related to π
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The Baudhāyana sūtras (Sanskrit: बौधायन सूत्रस् ) are a group of Vedic Sanskrit texts which cover dharma, daily ritual, mathematics and is one of the oldest Dharma-related texts of Hinduism that have survived into the modern age from the 1st-millennium BCE. They belong to the Taittiriya branch of the Krishna Yajurveda school and are among the earliest texts of the genre.[1]
The Baudhayana sūtras consist of six texts:
the Śrautasûtra, probably in 19 Praśnas (questions),
the Karmāntasûtra in 20 Adhyāyas (chapters),
the Dwaidhasûtra in 4 Praśnas,
the Grihyasutra in 4 Praśnas,
the Dharmasûtra in 4 Praśnas and
the Śulbasûtra in 3 Adhyāyas.[2]
The Baudhāyana Śulbasûtra is noted for containing several early mathematical results, including an approximation of the square root of 2 and the statement of the Pythagorean theorem.[3]
^Plofker, Kim (2007). Mathematics in India. p. 17. ISBN 978-0691120676.. In relative chronology, they predate Āpastamba, which is dated by Robert Lingat to the sutra period proper, between c. 500 to 200 BCE. Robert Lingat, The Classical Law of India, (Munshiram Manoharlal Publishers Pvt Ltd, 1993), p. 20
^Sacred Books of the East, vol.14 – Introduction to Baudhayana
^Nanda, Meera (16 September 2016). "Hindutva's science envy". Frontline. Archived from the original on 17 July 2017. Retrieved 14 October 2016.
The Baudhāyanasūtras (Sanskrit: बौधायन सूत्रस् ) are a group of Vedic Sanskrit texts which cover dharma, daily ritual, mathematics and is one of the...
to fire-altar construction. The Shulba Sutras are part of the larger corpus of texts called the Shrauta Sutras, considered to be appendices to the Vedas...
The Baudhayana Shrauta Sutra (Baudhāyana Śrautasūtra or Baudhāyanaśrautasūtram) is a Late Vedic text dealing with the solemn rituals of the Taittiriya...
Hindu-Arabic numerals predominantly used today and likely into the future. Baudhayanasutras (fl. c. 900 BCE) Yajnavalkya (700 BCE) Manava (fl. 750–650 BCE) Apastamba...
to be the birthplace of the Vedic sage, Bodhayan, who created the Baudhayanasutras. The foundation of the temple was laid by Devraha Baba in 1956. A...
three Kalpa-sūtras: Srauta-sūtras, Grhya-sūtras, and Dharma-sūtras (estimated to have been composed between 600-200 BCE). The Srauta-sutras became texts...
Ashtavakra Gita: text of conversation between Ashtavakra and King Janaka. Baudhayanasutras: Vedic Sanskrit texts covering dharma, daily ritual, mathematics....
the first time in the late Vedic text the Shatapatha Brahmana. The Baudhayanasutras define a mleccha as someone who eats beef or indulges in self-contradictory...
is in accordance with Sastra to collect taxes from citizens.") The Baudhayanasutras note that the king received one-sixth of the income from his subjects...
Svāhā! —Kapila, Baudhayana Grihya Sutra, 4.16.4 Translators: Jan E. M. Houben, Karel Rijk van Kooij As son of Prahlada: The Baudhayana Dharmasutra mentions...
for ritual geometric constructions that are similar to the Sulba Sutras. The Śulba Sūtras (literally, "Aphorisms of the Chords" in Vedic Sanskrit) (c. 700–400...
Thibaut published a detailed essay on the Śulba sūtras, together with a translation of the Baudhāyana Śulba sūtra; he later translated the Pañca Siddhāntikā...
(Sanskrit: छन्दःशास्त्र, lit. 'A Treatise on Prosody'), also called the Pingala-sutras (Sanskrit: पिङ्गलसूत्राः, romanized: Piṅgalasūtrāḥ, lit. 'Pingala's Threads...
worked as late as the 8th century. His work on prosody builds on the Chhanda-sutras of Pingala (4th century BCE), and was the basis for a 12th-century commentary...
Kalpasūtra, that is Shrauta- and Grihya-sutras are missing. It is written in sutra style, and contains 1,038 sutras. According to Patrick Olivelle – a professor...
millennium BCE. After the Kalpasutra by Baudhayana, these Bharadvaja texts are among the oldest srauta and grhya sutras known. Sections in Ayurveda. Bharadvaja...
the Taittirīya śākhā with the Baudhāyana Śrauta and Gṛhya Sutras, Vādhūla Śrauta and Gṛhya Sutras, and Āgniveśya Gṛhya Sutra Samaveda in the Jaiminīya recension...
knowledge of solving first order linear equations 800 BC – Baudhayana, author of the Baudhayana Sulba Sutra, a Vedic Sanskrit geometric text, contains quadratic...
other texts borrow the story: these include Sankhyana Srauta Sutra, Baudhayana Shrauta Sutra, the Puranas, and the works of Chandrakirti among others. King...
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