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Baudhayana
The (Sanskrit: बौधायन) 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.. In relative chronology, they predate Apastamba, 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 The Baudhayana sūtras consist of six texts: # the Baudhayana Shrauta Sutra, , probably in 19 (questions), # the in 20 (chapters), # the in 4 , # the Grhyasutra, Grihyasutra in 4 , # the Dharmasutra, in 4 and # the Sulba Sutras, in 3 . The ' is noted for containing several early mathematical results, including an approximation of the square root of 2 and the st ...
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Baudhayana Shrauta Sutra
The Baudhayana Shrauta Sutra ( or ) is a Late Vedic text dealing with the solemn rituals of the Taittiriya Shakha school of the Yajurveda#Krishna Yajurveda, Krishna Yajurveda that was composed in eastern Uttar Pradesh during the late Brahmana period. It was trasmitted both orally and through manuscript copying. It was printed in 1904-23 by The Asiatic Society, translated by C.G. Kashikar in part in his "Srautakosa", and as a whole later on. It was edited by Willem Caland History and importance Baudhayana, the traditional author of the Sutra, originally belonged to the Kanva school of the White Yajurveda. W. Caland has adduced materials that indicate Baudhayana's shift from this tradition to that of the Taittiriya school. This agrees with the geographical position of the text between the eastern (Bihar) territory of the White Yajurveda and the western ones the Taittiriyas (Uttar Pradesh).M. Witzel. On the localisation of Vedic texts and schools. In India and the Ancient world. H ...
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Sulba Sutras
The ''Shulva Sutras'' or ''Śulbasūtras'' (Sanskrit: शुल्बसूत्र; ': "string, cord, rope") are sutra texts belonging to the Śrauta ritual and containing geometry related to fire-altar construction. Purpose and origins The Shulba Sutras are part of the larger corpus of texts called the Shrauta Sutras, considered to be appendices to the Vedas. They are the only sources of knowledge of Indian mathematics from the Vedic period. Unique fire-altar shapes were associated with unique gifts from the Gods. For instance, "he who desires heaven is to construct a fire-altar in the form of a falcon"; "a fire-altar in the form of a tortoise is to be constructed by one desiring to win the world of Brahman" and "those who wish to destroy existing and future enemies should construct a fire-altar in the form of a rhombus"., p. 387, "Certain shapes and sizes of fire-altars were associated with particular gifts that the sacrificer desired from the gods: 'he who desires heaven is ...
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Śrauta
Śrauta is a Sanskrit word that means "belonging to śruti", that is, anything based on the Vedas of Hinduism. It is an adjective and prefix for texts, ceremonies or person associated with śruti. The term, for example, refers to Brahmins who specialise in the ''śruti'' corpus of texts, and Śrauta Brahmin traditions in modern times can be seen in Kerala and Coastal Andhra. Etymology and meaning The Sanskrit word ''Śrauta'' is rooted in ''śruti'' (that which is heard, referring to scriptures of Hinduism). ''Śrauta'', states Johnson, is an adjective that is applied to a text, ritual practice or person, when related to śruti. Klostermaier states that the prefix means "belonging to śruti", and includes ceremonies and texts related to śruti. The word is sometimes spelled ''Shrauta'' in scholarly literature. History Spread via Indian religions, homa traditions are found all across Asia, from Samarkand to Japan, over a 3000-year history. A ''homa'', in all its Asian variations, i ...
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Brāhmaṇa
The Brahmanas (; Sanskrit: , ''Brāhmaṇam'') are Vedic śruti works attached to the Samhitas (hymns and mantras) of the Rig, Sama, Yajur, and Atharva Vedas. They are a secondary layer or classification of Sanskrit texts embedded within each Veda, which explain and instruct on the performance of Vedic rituals (in which the related Samhitas are recited). In addition to explaining the symbolism and meaning of the Samhitas, Brahmana literature also expounds scientific knowledge of the Vedic Period, including observational astronomy and, particularly in relation to altar construction, geometry. Divergent in nature, some Brahmanas also contain mystical and philosophical material that constitutes Aranyakas and Upanishads. Each Veda has one or more of its own Brahmanas, and each Brahmana is generally associated with a particular Shakha or Vedic school. Less than twenty Brahmanas are currently extant, as most have been lost or destroyed. Dating of the final codification of the ''Brah ...
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Grhyasutra
Kalpa ( sa, कल्प) means "proper, fit" and is one of the six disciplines of the Vedānga, or ancillary science connected with the Vedas – the scriptures of Hinduism. This field of study is focused on the procedures and ceremonies associated with Vedic ritual practice.James Lochtefeld (2002), "Kalpa" in The Illustrated Encyclopedia of Hinduism, Vol. 1: A–M, Rosen Publishing, , p. 339. The major texts of Kalpa Vedanga are called ''Kalpa Sutras'' in Hinduism. The scope of these texts includes Vedic rituals, rites of passage rituals associated with major life events such as birth, wedding and death in family, as well as personal conduct and proper duties in the life of an individual. Most Kalpasutras texts have experienced interpolation, changes and consequent corruption over their history, and Apasthamba Kalpasutra ancillary to the Yajurveda may be the best preserved text in this genre. Kalpa Sutras are also found in other Indian traditions, such as Jainism. Etymology K ...
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Kalpa (Vedanga)
Kalpa ( sa, कल्प) means "proper, fit" and is one of the six disciplines of the Vedānga, or ancillary science connected with the Vedas – the scriptures of Hinduism. This field of study is focused on the procedures and ceremonies associated with Vedic ritual practice.James Lochtefeld (2002), "Kalpa" in The Illustrated Encyclopedia of Hinduism, Vol. 1: A–M, Rosen Publishing, , p. 339. The major texts of Kalpa Vedanga are called ''Kalpa Sutras'' in Hinduism. The scope of these texts includes Vedic rituals, rites of passage rituals associated with major life events such as birth, wedding and death in family, as well as personal conduct and proper duties in the life of an individual. Most Kalpasutras texts have experienced interpolation, changes and consequent corruption over their history, and Apasthamba Kalpasutra ancillary to the Yajurveda may be the best preserved text in this genre. Kalpa Sutras are also found in other Indian traditions, such as Jainism. Etymology K ...
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Srautasutra
Kalpa ( sa, कल्प) means "proper, fit" and is one of the six disciplines of the Vedānga, or ancillary science connected with the Vedas – the scriptures of Hinduism. This field of study is focused on the procedures and ceremonies associated with Vedic ritual practice.James Lochtefeld (2002), "Kalpa" in The Illustrated Encyclopedia of Hinduism, Vol. 1: A–M, Rosen Publishing, , p. 339. The major texts of Kalpa Vedanga are called ''Kalpa Sutras'' in Hinduism. The scope of these texts includes Vedic rituals, rites of passage rituals associated with major life events such as birth, wedding and death in family, as well as personal conduct and proper duties in the life of an individual. Most Kalpasutras texts have experienced interpolation, changes and consequent corruption over their history, and Apasthamba Kalpasutra ancillary to the Yajurveda may be the best preserved text in this genre. Kalpa Sutras are also found in other Indian traditions, such as Jainism. Etymology K ...
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Taittiriya
The ''Taittirīya Shakha'' (Sanskrit, loosely meaning 'Branch or School of the sage Tittiri'), is a ''shakha'' (i.e. 'branch', 'school', or Recension, rescension) of the Black Yajurveda, Krishna (black) Yajurveda. Most prevalent in South India, it consists of the ''Taittirīya Samhita'' ('TS'), Taittirīya Brāhmaṇa, ''Taittirīya Brahmana'' ('TB'), ''Taittirīya Aranyaka'' ('TA'), and ''Taittirīya Pratishakhyas, Pratisakhya'' ('TP'). Nomenclature The 'Taittiriya Shakha' can be loosely translated as 'Branch or School of (the sage) Tittri' or 'Branch or School of Taittiriya' or 'School of the pupils of Tittiri'. *'Taittiriya' is derived from the name of the sage Taittiri (or Tittiri). *'Shakha' means 'branch' or 'school'. Origin Monier-Williams According to Monier Monier-Williams, Monier-Williams ''Sanskrit-English Dictionary'', Taittiri was a pupil of Yaska (estimated 4th-5th century BCE). According to the Vishnu Purana, Yaska was in turn a pupil of Vaisampayana, Va ...
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Apastamba
''Āpastamba Dharmasūtra'' (Sanskrit: आपस्तम्ब धर्मसूत्र) is a Sanskrit text and one of the oldest Dharma-related texts of Hinduism that have survived into the modern age from the 1st-millennium BCE. It is one of three extant Dharmasutras texts from the Taittiriya school of Krishna Yajurveda, the other two being ''Baudhayana Dharmasutra'' and ''Hiranyakesin Dharmasutra''. The ''Apastamba Dharmasutra'' is part of ''Apastamba Kalpasutra'' collection, along with ''Apastamba Shrautasutra'' and ''Apastamba Grihyasutra''. One of the best preserved ancient texts on Dharma, it is also notable for mentioning and citing views of ten ancient experts on Dharma, which has led scholars to conclude that there existed a rich genre of Dharmasutras text in ancient India before this text was composed. Authorship, location and dates The Dharmasutra is attributed to Apastamba, the founder of a Shakha (Vedic school) of Yajurveda. According to the Hindu tradition, Apa ...
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Iyers
Iyers (also spelt as Ayyar, Aiyar, Ayer, or Aiyer) are an ethnoreligious community of Tamil-speaking Hindu Brahmins. Most Iyers are followers of the ''Advaita'' philosophy propounded by Adi Shankara and adhere to the Smarta tradition. This is in contrast to the Iyengar community, who are adherents of Sri Vaishnavism. The Iyers and the Iyengars are together referred to as Tamil Brahmins. The majority of Iyers reside in Tamil Nadu, India. Iyers are further divided into various denominations based on traditional and regional differences. Like all Brahmins, they are also classified based on their gotra, or patrilineal descent, and the Veda that they follow. They fall under the Pancha Dravida Brahmana classification of Brahmins in India. Apart from the prevalent practice of using the title "Iyer" as surname, Iyers also commonly use other surnames, such as Sāstri or Bhattar. Etymology Iyer (, ) has several meanings in Tamil and other Dravidian languages, often referring to ...
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Pythagorean Theorem
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides ''a'', ''b'' and the hypotenuse ''c'', often called the Pythagorean equation: :a^2 + b^2 = c^2 , The theorem is named for the Greek philosopher Pythagoras, born around 570 BC. The theorem has been proven numerous times by many different methods – possibly the most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years. When Euclidean space is represented by a Cartesian coordinate system in analytic geometry, Euclidean distance satisfies the Pythagorean relation: the squared dist ...
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Pythagorean Theorem
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides ''a'', ''b'' and the hypotenuse ''c'', often called the Pythagorean equation: :a^2 + b^2 = c^2 , The theorem is named for the Greek philosopher Pythagoras, born around 570 BC. The theorem has been proven numerous times by many different methods – possibly the most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years. When Euclidean space is represented by a Cartesian coordinate system in analytic geometry, Euclidean distance satisfies the Pythagorean relation: the squared dist ...
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