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Kalpa (Vedanga)

Kalpa (Sanskrit: 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.[1] This field of study is focused on the procedures and ceremonies associated with Vedic ritual practice.[2][1]

The major texts of Kalpa Vedanga are called Kalpa Sutras in Hinduism.[3] 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.[4] 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.[5]

Kalpa Sutras are also found in other Indian traditions, such as Jainism.[6]

Etymology edit

Kalpa is a Sanskrit word that means "proper, fit, competent, sacred precept", and also refers to one of the six Vedanga fields of study.[7] In Vedanga context, the German Indologist Max Muller translates it as "the Ceremonial".[8]

The word is widely used in other contexts, such as "cosmic time" (one day for Brahma, 4.32 billion human years),[9] as well as for precepts or procedures that are "proper, fit" in medicine or another profession.[7]

History edit

The Kalpa field of study traces its roots to the Brahmana layer of texts in the Vedas,[10] however its texts are more focussed, clear, short and practical for ceremonies.[8][11] Kalpa Sutras are related to the Karma kanda, or ritual parts of the Veda, in contrast to the Upanishads which are the Jnana kanda, or the knowledge part.[12][13]

This field of study emerged to serve the needs of priests as they officiated over domestic ceremonies such as weddings and baby naming rites of passage, so that the rituals were efficient, standardized and appeared consistent across different events.[10] They also helped the audience and the individuals integrate within customs and cultural practices, state Winternitz and Sarma, from "the moment when he is received in his mother's womb to the hour of his death", and beyond during his cremation.[10]

Texts edit

Kalpa sutras known[14]
Veda Sutras
Rigveda Asvalayana-sutra (§), Sankhayana-sutra (§), Saunaka-sutra (¶)
Samaveda Latyayana-sutra (§), Drahyayana-sutra (§), Nidana-sutra (§), Pushpa-sutra (§), Anustotra-sutra (§)[15]
Yajurveda Manava-sutra (§), Bharadvaja-sutra (¶), Vadhuna-sutra (¶), Vaikhanasa-sutra (¶), Laugakshi-sutra (¶), Maitra-sutra (¶), Katha-sutra (¶), Varaha-sutra (¶) , Apastamba-sutra (§), Baudhayana-sutra (§)
Atharvaveda Kusika-sutra (§)
¶: only quotes survive; §: text survives

The rituals related ancient texts are of two kinds: (1) the Śrautasūtras, which are based on the śruti, and (2) the Smārtasūtras, or rules based on the smriti or tradition. The first versions of the Kalpa Sutras text were probably composed by the 6th-century BCE, and they were attributed to famous Vedic sages out of respect for them in the Hindu traditions or to gain authority.[1] These texts are written aphoristic sutras style, and therefore are taxonomies or terse guidebooks rather than detailed manuals or handbooks for any ceremony.[11]

Scholars such as Monier-Williams classified only Shrautasutras as part of Kalpa Vedanga, stating that the Smartasutras did not relate to Srauta or Vedic ceremonies, but instead focused on domestic events such as rites of passage when a baby is born and to Samayachara or "conventional everyday practices" that are part of every human being's life.[16] However, other scholars include both.[10][13]

Srauta Sutras edit

 
The verses 1-2 of Baudhayana Shulba Sutra state that the squares of any rectangle's width and length add up to the square of its diagonal.[17] This is one of the earliest descriptions of Pythagorean theorem, appearing many centuries before Pythagoras.

The Śrautasūtras (Shrauta-sutra) form a part of the corpus of Sanskrit sūtra literature. Their topics include instructions relating to the use of the śruti corpus in ritual ('kalpa') and the correct performance of these rituals. Some early Śrautasūtras were composed in the late Brahmana period (such as the Baudhyanana and Vadhula Sūtras), but the bulk of the Śrautasūtras are roughly contemporary to the Gṛhya corpus of domestic sūtras, their language being late Vedic Sanskrit, dating to the middle of the first millennium BCE (generally predating Pāṇini).

Shulba Sutras edit

The Śulbasûtra (or Shulva-sutras) deal with the mathematical methodology to construct altar geometries for the Vedic rituals.[18] The Sanskrit word "Shulba" means cord, and these texts are "rules of the cord".[19] They provide, states Kim Plofker, what in modern mathematical terminology would be called "area preserving transformations of plane figures", tersely describing geometric formulae and constants.[19] Five Shulba Sutras texts have survived through history, of which the oldest surviving is likely the Baudhayana Shulba Sutra (800-500 BCE), while the one by Katyayana may be chronologically the youngest (~300 BCE).[20]

Gṛhyasūtras edit

The Gṛhyasūtras "domestic sūtras" are a category of Sanskrit texts prescribing Vedic rituals, mainly relating to rites of passage such as rituals of wedding, birth celebration, namegiving and coming of age (puberty).[21][22] Their language is late Vedic Sanskrit, and they date to around roughly 500 BCE, contemporary with the Śrautasūtras. They are named after Vedic shakhas.

Vedic sacrifice rituals at a wedding
West of the (sacred) fire, a stone (for grinding corn and condiments) is placed and northeast a water jar. The bridegroom offers an oblation, standing, looking towards the west, and taking hold of the bride's hands while she sits and looks towards the east. If he wishes only for sons, he clasps her thumbs and says, "I clasp thy hands for the sake of good fortune"; the fingers alone, if he wishes only for daughters; the hairy side of the hand along with the thumbs if wishes for both (sons and daughters). Then, whilst he leads her towards the right three times around the fire, and round the water jar, he says in a low tone,
"I am he, thou are she; thou art she, I am he,
I am the heaven, thou art the earth; I am the Saman, thou art the Rig.
Come let us marry, let us possess offspring,
united in affection, well disposed to each other,
let us live for a hundred years".
— Āśvalāyana Kalpa sutra, Book 1.7, Translated by Monier Monier-Williams[23][24]

Dharmasūtras edit

The Dharmasūtras are texts dealing with custom, rituals, duties and law. They include the four surviving written works of the ancient Indian tradition on the subject of dharma, or the rules of behavior recognized by a community. Unlike the later dharmaśāstras, the dharmasūtras are composed in prose. The oldest dharmasūtra is generally believed to have been that of Apastamba, followed by the dharmasūtras of Gautama, Baudhayana, and an early version of Vashistha. It is difficult to determine exact dates for these texts, but the dates between 500 and 300 BCE have been suggested for the oldest dharmasūtras.[citation needed]

Veda Srautasutra[25] Sulbasutra[25] Grihyasutra[25] Dharmasutra[25]
Ṛgveda Āśvalāyana Śrautasūtra[26]
Sāṅkhāyana Śrautasūtra
Âśvalāyana-Gṛhyasūtra [26]
Kausîtaki-Gṛhyasūtra
(Bāṣkala śakha)
Śāṅkhāyana-Gr̥hyasūtra [1]
Vasishtha Dharmasūtra
Sāmaveda Lātyāyana Śrautasūtra
Drāhyāyana Śrautasūtra
Jaiminiya Śrautasūtra
Gobhila-Gṛhyasūtra
Khādira-Gṛhyasūtra
(Drāhyāyana-Gṛhyasūtra)
Jaiminiya-Gṛhyasūtra
Kauthuma-Gṛhyasūtra
Gautama Dharmasūtra
Kṛsna Yajurveda Baudhāyana Śrautasūtra
Vādhūla Śrautasūtra
Mānava Śrautasūtra
Bharadvāja Śrautasūtra
Āpastamba Śrautasūtra
Hiraṅyakeśi Śrautasūtra
Vārāha Śrautasūtra
Vaikhānasa Śrautasūtra
Baudhāyana Śulbasûtra
Mānava Śulbasûtra
Āpastamba Śulbasûtra
Baudhāyana-Gṛhyasūtra
Hiraṇyakeśi-Gṛhyasūtra
(Satyāsādha-Gṛhyasūtra) [2]
Mānava-Gṛhyasūtra
Bhāradvāja-Gṛhyasūtra
Āpastamba-Gṛhyasūtra
Āgniveśya-Gṛhyasūtra
Vaikhānasa-Gṛhyasūtra
Kāthaka-Gṛhyasūtra
(Laugāksi-Gṛhyasūtra)
Vārāha-Gṛhyasūtra
Vādhûla-Gṛhyasūtra
Kapisthala-Katha Gṛhyasūtra (unpublished)
Baudhāyana Dharmasūtra

Āpastamba Dharmasūtra

Hārīta Dharmasūtra

Hiraṇyakeśi Dharmasūtra

Vaikhānasa Dharmasūtra

Viṣṇu Dharmasūtra

Śukla Yajurveda Kātyāyana Śrautasūtra Kātyāyana Śulbasūtra
Pāraskara-Gṛhyasūtra
Katyayana-Gṛhyasūtra
Śaṅkha-Likhita Dharmasūtra
Atharvaveda Vaitāna Śrautasũtra Kauśika Gṛhyasūtra Auśanasa Dharmasūtra

See also edit

References edit

  1. ^ a b c James Lochtefeld (2002), "Kalpa" in The Illustrated Encyclopedia of Hinduism, Vol. 1: A–M, Rosen Publishing, ISBN 0-8239-2287-1, p. 339.
  2. ^ Plofker 2009, p. 313.
  3. ^ Maurice Winternitz 1963, p. 252.
  4. ^ Wendy Doniger (1999). Merriam-Webster's Encyclopedia of World Religions. Merriam-Webster. pp. 629. ISBN 978-0-87779-044-0.
  5. ^ Patrick Olivelle (1999). The Dharmasutras: The Law Codes of Ancient India. Oxford University Press. pp. xxv-xxviii with footnotes. ISBN 978-0-19-160604-5.
  6. ^ Moriz Winternitz (1988). A History of Indian Literature: Buddhist literature and Jaina literature. Motilal Banarsidass (Reprint). pp. 412–413, 444–446. ISBN 978-81-208-0265-0.
  7. ^ a b Monier Monier-Williams (1923). A Sanskrit-English Dictionary. Oxford University Press. pp. 212–213.
  8. ^ a b Friedrich Max Müller (1860). A History of Ancient Sanskrit Literature. Williams and Norgate. pp. 169–170.
  9. ^ James Lochtefeld (2002), "Kalpa" in The Illustrated Encyclopedia of Hinduism, Vol. 1: A-M, Rosen Publishing, ISBN 0-8239-2287-1, page 338
  10. ^ a b c d Moriz Winternitz; V. Srinivasa Sarma (1996). A History of Indian Literature. Motilal Banarsidass. pp. 252–262. ISBN 978-81-208-0264-3.
  11. ^ a b Brian K. Smith (1998). Reflections on Resemblance, Ritual, and Religion. Motilal Banarsidass. pp. 120–137 with footnotes. ISBN 978-81-208-1532-2.
  12. ^ Kireet Joshi (1991). The Veda and Indian Culture: An Introductory Essay. Motilal Banarsidass. pp. 97–98. ISBN 978-81-208-0889-8.
  13. ^ a b Barbara A. Holdrege (2012). Veda and Torah: Transcending the Textuality of Scripture. State University of New York Press. pp. 71–72. ISBN 978-1-4384-0695-4.
  14. ^ Max Muller, History of Ancient Sanskrit Literature, Oxford University Press, pages 198-199
  15. ^ Max Muller, History of Ancient Sanskrit Literature, Oxford University Press, page 210
  16. ^ Monier Monier-Williams (1876). Indian Wisdom. W. H. Allen & Company. pp. 195–198.
  17. ^ Plofker 2009, p. 18 with note 13.
  18. ^ Pradip Kumar Sengupta (2010). History of Science and Philosophy of Science. Pearson. pp. 79–80. ISBN 978-81-317-1930-5.
  19. ^ a b Plofker 2009, p. 17.
  20. ^ Plofker 2009, pp. 17–18.
  21. ^ Hermann Oldenberg, trans., Max Müller, ed. Sacred Books of the East Vol. XXIX, "The Grihya-sûtras, rules of Vedic domestic ceremonies", part 1, Oxford, The Clarendon press 1886
  22. ^ Hermann Oldenberg, trans., Max Müller, trans. Sacred Books of the East Vol. XXX, "The Grihya-sûtras, rules of Vedic domestic ceremonies", part 2, Oxford, The Clarendon press 1892
  23. ^ Monier Monier-Williams (1876). Indian Wisdom. W. H. Allen & Company. p. 199.
  24. ^ Subodh Kapoor (2002). Encyclopaedia of vedic philosophy. Cosmo. pp. 2114–2115. ISBN 978-81-7755-290-4.
  25. ^ a b c d Kochar, Rajesh Vedic People:Their History and Geography, Orient Longman, New Delhi, 2000, ISBN 81-250-1080-7, p.18
  26. ^ a b Catalogue of Sanskrit, Pali, and Prakrit Books in the British Museum (1876) p. 9. Gargya's commentaries (vrttis) are based on the longer bhashyas by Devasvamin (11th century). B.K. Sastry, review 2016-03-14 at the Wayback Machine of K. P. Aithal (ed.), Asvalayana Grihya Sutra Bhashyam of Devasvamin, 1983.

Bibliography edit

kalpa, vedanga, this, article, about, discipline, vedic, literature, reckoning, time, kalpa, aeon, other, uses, kalpa, kalpa, sanskrit, कल, means, proper, disciplines, vedānga, ancillary, science, connected, with, vedas, scriptures, hinduism, this, field, stud. This article is about a discipline of Vedic literature For the reckoning of time see Kalpa aeon For other uses see Kalpa Kalpa Sanskrit कल प means proper fit and is one of the six disciplines of the Vedanga or ancillary science connected with the Vedas the scriptures of Hinduism 1 This field of study is focused on the procedures and ceremonies associated with Vedic ritual practice 2 1 The major texts of Kalpa Vedanga are called Kalpa Sutras in Hinduism 3 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 4 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 5 Kalpa Sutras are also found in other Indian traditions such as Jainism 6 Contents 1 Etymology 2 History 3 Texts 3 1 Srauta Sutras 3 2 Shulba Sutras 3 3 Gṛhyasutras 3 4 Dharmasutras 4 See also 5 References 5 1 BibliographyEtymology editKalpa is a Sanskrit word that means proper fit competent sacred precept and also refers to one of the six Vedanga fields of study 7 In Vedanga context the German Indologist Max Muller translates it as the Ceremonial 8 The word is widely used in other contexts such as cosmic time one day for Brahma 4 32 billion human years 9 as well as for precepts or procedures that are proper fit in medicine or another profession 7 History editThe Kalpa field of study traces its roots to the Brahmana layer of texts in the Vedas 10 however its texts are more focussed clear short and practical for ceremonies 8 11 Kalpa Sutras are related to the Karma kanda or ritual parts of the Veda in contrast to the Upanishads which are the Jnana kanda or the knowledge part 12 13 This field of study emerged to serve the needs of priests as they officiated over domestic ceremonies such as weddings and baby naming rites of passage so that the rituals were efficient standardized and appeared consistent across different events 10 They also helped the audience and the individuals integrate within customs and cultural practices state Winternitz and Sarma from the moment when he is received in his mother s womb to the hour of his death and beyond during his cremation 10 Texts editKalpa sutras known 14 Veda SutrasRigveda Asvalayana sutra Sankhayana sutra Saunaka sutra Samaveda Latyayana sutra Drahyayana sutra Nidana sutra Pushpa sutra Anustotra sutra 15 Yajurveda Manava sutra Bharadvaja sutra Vadhuna sutra Vaikhanasa sutra Laugakshi sutra Maitra sutra Katha sutra Varaha sutra Apastamba sutra Baudhayana sutra Atharvaveda Kusika sutra only quotes survive text survivesThe rituals related ancient texts are of two kinds 1 the Srautasutras which are based on the sruti and 2 the Smartasutras or rules based on the smriti or tradition The first versions of the Kalpa Sutras text were probably composed by the 6th century BCE and they were attributed to famous Vedic sages out of respect for them in the Hindu traditions or to gain authority 1 These texts are written aphoristic sutras style and therefore are taxonomies or terse guidebooks rather than detailed manuals or handbooks for any ceremony 11 Scholars such as Monier Williams classified only Shrautasutras as part of Kalpa Vedanga stating that the Smartasutras did not relate to Srauta or Vedic ceremonies but instead focused on domestic events such as rites of passage when a baby is born and to Samayachara or conventional everyday practices that are part of every human being s life 16 However other scholars include both 10 13 Srauta Sutras edit nbsp The verses 1 2 of Baudhayana Shulba Sutra state that the squares of any rectangle s width and length add up to the square of its diagonal 17 This is one of the earliest descriptions of Pythagorean theorem appearing many centuries before Pythagoras The Srautasutras Shrauta sutra form a part of the corpus of Sanskrit sutra literature Their topics include instructions relating to the use of the sruti corpus in ritual kalpa and the correct performance of these rituals Some early Srautasutras were composed in the late Brahmana period such as the Baudhyanana and Vadhula Sutras but the bulk of the Srautasutras are roughly contemporary to the Gṛhya corpus of domestic sutras their language being late Vedic Sanskrit dating to the middle of the first millennium BCE generally predating Paṇini Shulba Sutras edit The Sulbasutra or Shulva sutras deal with the mathematical methodology to construct altar geometries for the Vedic rituals 18 The Sanskrit word Shulba means cord and these texts are rules of the cord 19 They provide states Kim Plofker what in modern mathematical terminology would be called area preserving transformations of plane figures tersely describing geometric formulae and constants 19 Five Shulba Sutras texts have survived through history of which the oldest surviving is likely the Baudhayana Shulba Sutra 800 500 BCE while the one by Katyayana may be chronologically the youngest 300 BCE 20 Gṛhyasutras edit The Gṛhyasutras domestic sutras are a category of Sanskrit texts prescribing Vedic rituals mainly relating to rites of passage such as rituals of wedding birth celebration namegiving and coming of age puberty 21 22 Their language is late Vedic Sanskrit and they date to around roughly 500 BCE contemporary with the Srautasutras They are named after Vedic shakhas Vedic sacrifice rituals at a weddingWest of the sacred fire a stone for grinding corn and condiments is placed and northeast a water jar The bridegroom offers an oblation standing looking towards the west and taking hold of the bride s hands while she sits and looks towards the east If he wishes only for sons he clasps her thumbs and says I clasp thy hands for the sake of good fortune the fingers alone if he wishes only for daughters the hairy side of the hand along with the thumbs if wishes for both sons and daughters Then whilst he leads her towards the right three times around the fire and round the water jar he says in a low tone I am he thou are she thou art she I am he I am the heaven thou art the earth I am the Saman thou art the Rig Come let us marry let us possess offspring united in affection well disposed to each other let us live for a hundred years Asvalayana Kalpa sutra Book 1 7 Translated by Monier Monier Williams 23 24 Dharmasutras edit The Dharmasutras are texts dealing with custom rituals duties and law They include the four surviving written works of the ancient Indian tradition on the subject of dharma or the rules of behavior recognized by a community Unlike the later dharmasastras the dharmasutras are composed in prose The oldest dharmasutra is generally believed to have been that of Apastamba followed by the dharmasutras of Gautama Baudhayana and an early version of Vashistha It is difficult to determine exact dates for these texts but the dates between 500 and 300 BCE have been suggested for the oldest dharmasutras citation needed Veda Srautasutra 25 Sulbasutra 25 Grihyasutra 25 Dharmasutra 25 Ṛgveda Asvalayana Srautasutra 26 Saṅkhayana Srautasutra Asvalayana Gṛhyasutra 26 Kausitaki Gṛhyasutra Baṣkala sakha Saṅkhayana Gr hyasutra 1 Vasishtha DharmasutraSamaveda Latyayana SrautasutraDrahyayana SrautasutraJaiminiya Srautasutra Gobhila GṛhyasutraKhadira Gṛhyasutra Drahyayana Gṛhyasutra Jaiminiya GṛhyasutraKauthuma Gṛhyasutra Gautama DharmasutraKṛsna Yajurveda Baudhayana Srautasutra Vadhula Srautasutra Manava Srautasutra Bharadvaja Srautasutra Apastamba Srautasutra Hiraṅyakesi Srautasutra Varaha Srautasutra Vaikhanasa Srautasutra Baudhayana SulbasutraManava Sulbasutra Apastamba Sulbasutra Baudhayana GṛhyasutraHiraṇyakesi Gṛhyasutra Satyasadha Gṛhyasutra 2 Manava GṛhyasutraBharadvaja GṛhyasutraApastamba GṛhyasutraAgnivesya Gṛhyasutra Vaikhanasa GṛhyasutraKathaka Gṛhyasutra Laugaksi Gṛhyasutra Varaha GṛhyasutraVadhula GṛhyasutraKapisthala Katha Gṛhyasutra unpublished Baudhayana Dharmasutra Apastamba DharmasutraHarita DharmasutraHiraṇyakesi DharmasutraVaikhanasa DharmasutraViṣṇu DharmasutraSukla Yajurveda Katyayana Srautasutra Katyayana Sulbasutra Paraskara GṛhyasutraKatyayana Gṛhyasutra Saṅkha Likhita DharmasutraAtharvaveda Vaitana Srautasũtra Kausika Gṛhyasutra Ausanasa DharmasutraSee also editKalpa Sutra scriptures of Jainism Mimaṃsa OrthopraxyReferences edit a b c James Lochtefeld 2002 Kalpa in The Illustrated Encyclopedia of Hinduism Vol 1 A M Rosen Publishing ISBN 0 8239 2287 1 p 339 Plofker 2009 p 313 Maurice Winternitz 1963 p 252 Wendy Doniger 1999 Merriam Webster s Encyclopedia of World Religions Merriam Webster pp 629 ISBN 978 0 87779 044 0 Patrick Olivelle 1999 The Dharmasutras The Law Codes of Ancient India Oxford University Press pp xxv xxviii with footnotes ISBN 978 0 19 160604 5 Moriz Winternitz 1988 A History of Indian Literature Buddhist literature and Jaina literature Motilal Banarsidass Reprint pp 412 413 444 446 ISBN 978 81 208 0265 0 a b Monier Monier Williams 1923 A Sanskrit English Dictionary Oxford University Press pp 212 213 a b Friedrich Max Muller 1860 A History of Ancient Sanskrit Literature Williams and Norgate pp 169 170 James Lochtefeld 2002 Kalpa in The Illustrated Encyclopedia of Hinduism Vol 1 A M Rosen Publishing ISBN 0 8239 2287 1 page 338 a b c d Moriz Winternitz V Srinivasa Sarma 1996 A History of Indian Literature Motilal Banarsidass pp 252 262 ISBN 978 81 208 0264 3 a b Brian K Smith 1998 Reflections on Resemblance Ritual and Religion Motilal Banarsidass pp 120 137 with footnotes ISBN 978 81 208 1532 2 Kireet Joshi 1991 The Veda and Indian Culture An Introductory Essay Motilal Banarsidass pp 97 98 ISBN 978 81 208 0889 8 a b Barbara A Holdrege 2012 Veda and Torah Transcending the Textuality of Scripture State University of New York Press pp 71 72 ISBN 978 1 4384 0695 4 Max Muller History of Ancient Sanskrit Literature Oxford University Press pages 198 199 Max Muller History of Ancient Sanskrit Literature Oxford University Press page 210 Monier Monier Williams 1876 Indian Wisdom W H Allen amp Company pp 195 198 Plofker 2009 p 18 with note 13 Pradip Kumar Sengupta 2010 History of Science and Philosophy of Science Pearson pp 79 80 ISBN 978 81 317 1930 5 a b Plofker 2009 p 17 Plofker 2009 pp 17 18 Hermann Oldenberg trans Max Muller ed Sacred Books of the East Vol XXIX The Grihya sutras rules of Vedic domestic ceremonies part 1 Oxford The Clarendon press 1886 Hermann Oldenberg trans Max Muller trans Sacred Books of the East Vol XXX The Grihya sutras rules of Vedic domestic ceremonies part 2 Oxford The Clarendon press 1892 Monier Monier Williams 1876 Indian Wisdom W H Allen amp Company p 199 Subodh Kapoor 2002 Encyclopaedia of vedic philosophy Cosmo pp 2114 2115 ISBN 978 81 7755 290 4 a b c d Kochar Rajesh Vedic People Their History and Geography Orient Longman New Delhi 2000 ISBN 81 250 1080 7 p 18 a b Catalogue of Sanskrit Pali and Prakrit Books in the British Museum 1876 p 9 Gargya s commentaries vrttis are based on the longer bhashyas by Devasvamin 11th century B K Sastry review Archived 2016 03 14 at the Wayback Machine of K P Aithal ed Asvalayana Grihya Sutra Bhashyam of Devasvamin 1983 Bibliography edit Plofker Kim 2009 Mathematics in India Princeton University Press ISBN 0 691 12067 6 Maurice Winternitz 1963 History of Indian Literature Volume 1 Motilal Banarsidass ISBN 978 81 208 0056 4 Retrieved from https en wikipedia org w index php title Kalpa Vedanga amp oldid 1191707187, wikipedia, wiki, book, books, library,

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