Vākyakaraṇa
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Vākyakaraṇa
''Vākyakaraṇa'' is the source book of ''Vākyapañcāṅga'' which is a type of almanac popular among Tamil speaking people of South India. In ''Vākyapañcāṅga'', the positions of the celestial entities and the timings of celestial events as obtained using the computational methods expounded in the text ''Vākyakaraṇa''. These methods make use of astronomical tables compiled centuries ago. Each entry in such tables is in the form of a ''vākya'', that is, a sentence in Sanskrit, and it represents some numerical value encoded using the Katapayadi system, ''kaṭapayādi'' scheme. Different sets of such ''vākya''-s have been compiled for different celestial entities. One such set is ''Chandravakyas, Cāndrvākya''-s which is a set of 247 values relating to the position of the Moon. The original set of ''Chandravakyas, Cāndrvākya''-s are attributed to the legendary Kerala astronomer Vararuci. These were later revised by Madhava of Sangamagrama, Mādhava of Saṅgamagrāma ...
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Vararuci
Vararuci (also transliterated as Vararuchi) () is a name associated with several literary and scientific texts in Sanskrit and also with various legends in several parts of India. This Vararuci is often identified with Kātyāyana. Kātyāyana is the author of ''Vārtikās'' which is an elaboration of certain sūtrās (rules or aphorisms) in Pāṇini's much revered treatise on Sanskrit grammar titled Aṣṭādhyāyī. Kātyāyana is believed to have flourished in the 3rd century BCE. However, this identification of Vararuci with Kātyāyana has not been fully accepted by scholars. Vararuci is believed to be the author of ''Prākrita Prakāśa'', the oldest treatise on the grammar of '' Prākrit'' language. Vararuci's name appears in a verse listing the 'nine gems' (navaratnas) in the court of one Vikramaditya. Vararuci appears as a prominent character in ''Kathasaritsagara'' ("ocean of the streams of stories"), a famous 11th century collection of Indian legends, fairy tales and ...
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Vākyapañcāṅga
Two types of almanacs are popular among the Tamil speaking people in India, and the world over. They are known by the names ''Vākyapañcāṅga'' and ''Thirugaṇita-pañcāṅga''. The latter is also known as ''Dṛggaṇita pañcāṅga''. This is not to be confused with the ''Dṛggaṇita pañcāṅga'', the nearly unanimous choice of almanac of Malayalam speaking people, established by Vatasseri Parameshvara Nambudiri (c. 1380–1460) who was a major Indian mathematician and astronomer of the Kerala school of astronomy and mathematics founded by Madhava of Sangamagrama. The ''Vākyapañcāṅga'' is based on the astronomical data and computational methods propounded in the various ''Siddhānta'' texts like the ''Sūrya-Siddhānta'' and uses the text '' Vākyakaraṇa'' of anonymous authorship as the basic source book. The ''Thirugaṇita-pañcāṅga'' is based on the modern values of the various astronomical parameters and incorporates modern formulas and computational sc ...
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Chandravakyas
Chandravākyas () are a collection of numbers, arranged in the form of a list, related to the motion of the Moon in its orbit around the Earth. These numbers are couched in the katapayadi system of representation of numbers and so apparently appear like a list of words, or phrases or short sentences written in Sanskrit and hence the terminology ''Chandravākyas''. In Sanskrit, ''Chandra'' is the Moon and ''vākya'' means a sentence. The term ''Chandravākyas'' could thus be translated as Moon-sentences. (p.522) Vararuchi (c. 4th century CE), a legendary figure in the astronomical traditions of Kerala, is credited with the authorship of the collection of ''Chandravākyas''. These were routinely made use of for computations of native almanacs and for predicting the position of the Moon. The work ascribed to Vararuchi is also known as ''Chandravākyāni'', or ''Vararucivākyāni'', or ''Pañcāṅgavākyāni''. Madhava of Sangamagrama (c. 1350 – c. 1425), the founder of the ...
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Cover Page Of Vakyakarana
Cover or covers may refer to: Packaging * Another name for a lid * Cover (philately), generic term for envelope or package * Album cover, the front of the packaging * Book cover or magazine cover ** Book design ** Back cover copy, part of copywriting * CD and DVD cover, CD and DVD packaging * Smartphone cover, a mobile phone accessory that protects a mobile phone People * Cover (surname) Arts, entertainment, and media Music Albums ;Cover * ''Cover'' (Tom Verlaine album), 1984 * ''Cover'' (Joan as Policewoman album), 2009 ;Covered * ''Covered'' (Cold Chisel album), 2011 * ''Covered'' (Macy Gray album), 2012 * ''Covered'' (Robert Glasper album), 2015 ;Covers * ''Covers'' (Beni album), 2012 * ''Covers'' (Regine Velasquez album), 2004 * ''Covers'' (Placebo album), 2003 * ''Covers'' (Show of Hands album), 2000 * ''Covers'' (James Taylor album), 2008 * ''Covers'' (Fayray album), 2005 * ''Covers'' (Deftones album), 2011 * ''Covers'' (The Smithereens album), 2018 ...
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Katapayadi System
''Kaṭapayādi'' system (Devanagari: कटपयादि, also known as ''Paralppēru'', Malayalam: പരല്‍പ്പേര്) of numerical notation is an ancient Indian alphasyllabic numeral system to depict letters to numerals for easy remembrance of numbers as words or verses. Assigning more than one letter to one numeral and nullifying certain other letters as valueless, this system provides the flexibility in forming meaningful words out of numbers which can be easily remembered. History The oldest available evidence of the use of ''Kaṭapayādi'' (Sanskrit: कटपयादि) system is from ''Grahacāraṇibandhana'' by Haridatta in 683 CE.Sreeramamula Rajeswara Sarma, THE ''KATAPAYADI'' SYSTEM OF NUMERICAL NOTATION AND ITS SPREAD OUTSIDE KERALA, ''Rev. d'Histoire de Mathmatique'' 18 (2012/ref> It has been used in ''Laghu·bhāskarīya·vivaraṇa'' written by '' Sankara Narayana, Śaṅkara·nārāyaṇa'' in 869 CE. In some astronomical texts ...
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Madhava Of Sangamagrama
Mādhava of Sangamagrāma (Mādhavan) Availabl/ref> () was an Indian mathematician and astronomer who is considered to be the founder of the Kerala school of astronomy and mathematics in the Late Middle Ages. Madhava made pioneering contributions to the study of infinite series, calculus, trigonometry, geometry and algebra. He was the first to use infinite series approximations for a range of trigonometric functions, which has been called the "decisive step onward from the finite procedures of ancient mathematics to treat their limit-passage to infinity". Biography Little is known about Madhava's life with certainty. However, from scattered references to Madhava found in diverse manuscripts, historians of Kerala school have pieced together information about the mathematician. In a manuscript preserved in the Oriental Institute, Baroda, Madhava has been referred to as ''Mādhavan vēṇvārōhādīnām karttā ... Mādhavan Ilaññippaḷḷi Emprān''. It has been noted that th ...
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Nilakantha Somayaji
Keļallur Nīlakaṇṭha Somayāji (14 June 1444 – 1544), also referred to as Keļallur Comatiri, was a mathematician and astronomer of the Kerala school of astronomy and mathematics. One of his most influential works was the comprehensive astronomical treatise '' Tantrasamgraha'' completed in 1501. He had also composed an elaborate commentary on Aryabhatiya called the ''Aryabhatiya Bhasya''. In this Bhasya, Nilakantha had discussed infinite series expansions of trigonometric functions and problems of algebra and spherical geometry. ''Grahapariksakrama'' is a manual on making observations in astronomy based on instruments of the time. Early life Nilakantha was born into a Brahmin family which came from South Malabar in Kerala. Biographical details Nilakantha Somayaji was one of the very few authors of the scholarly traditions of India who had cared to record details about his own life and times. In one of his works titled '' Siddhanta-star'' and also in his ow ...
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Tantrasamgraha
Tantrasamgraha, or Tantrasangraha, (literally, ''A Compilation of the System'') is an important astronomy, astronomical treatise written by Nilakantha Somayaji, an astronomer/mathematician belonging to the Kerala school of astronomy and mathematics. The treatise was completed in 1501 CE. It consists of 432 verses in Sanskrit divided into eight chapters. Tantrasamgraha had spawned a few commentaries: ''Tantrasamgraha-vyakhya'' of anonymous authorship and ''Yuktibhāṣā'' authored by Jyeshtadeva in about 1550 CE. Tantrasangraha, together with its commentaries, bring forth the depths of the mathematical accomplishments the Kerala school of astronomy and mathematics, in particular the achievements of the remarkable mathematician of the school Madhava of Sangamagrama, Sangamagrama Madhava. In his ''Tantrasangraha'', Nilakantha revised Aryabhata's model for the planets Mercury (planet), Mercury and Venus. According to George Gheverghese Joseph, George G Joseph his equation of the Ce ...
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Hindu Astronomy
Astronomy has a long history in the Indian subcontinent, stretching from pre-historic to modern times. Some of the earliest roots of Indian astronomy can be dated to the period of Indus Valley civilisation or earlier. Astronomy later developed as a discipline of Vedanga, or one of the "auxiliary disciplines" associated with the study of the Vedas dating 1500 BCE or older. The oldest known text is the ''Vedanga Jyotisha'', dated to 1400–1200 BCE (with the extant form possibly from 700 to 600 BCE). Indian astronomy was influenced by Greek astronomy beginning in the 4th century BCEHighlights of Astronomy, Volume 11B: As presented at the XXIIIrd General Assembly of the IAU, 1997. Johannes Andersen Springer, 31 January 1999 – Science – 616 pages. p. 72/ref>Babylon to Voyager and Beyond: A History of Planetary Astronomy. David Leverington. Cambridge University Press, 29 May 2010 – Science – 568 pages. p. 4/ref>The History and Practice of Ancient Astronomy. James ...
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Astronomy Books
Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry in order to explain their origin and their overall evolution. Objects of interest include planets, moons, stars, nebulae, galaxies, meteoroids, asteroids, and comets. Relevant phenomena include supernova explosions, gamma ray bursts, quasars, blazars, pulsars, and cosmic microwave background radiation. More generally, astronomy studies everything that originates beyond Earth's atmosphere. Cosmology is a branch of astronomy that studies the universe as a whole. Astronomy is one of the oldest natural sciences. The early civilizations in recorded history made methodical observations of the night sky. These include the Egyptians, Babylonians, Greeks, Indians, Chinese, Maya, and many ancient indigenous peoples of the Americas. In the past, astronomy included disciplines as diverse as astrometry, celestial navigation, observational ...
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Hindu Astrological Texts
Hindus (; ; also known as Sanātanīs) are people who religiously adhere to Hinduism, also known by its endonym Sanātana Dharma.Jeffery D. Long (2007), A Vision for Hinduism, IB Tauris, , pp. 35–37 Historically, the term has also been used as a geographical, cultural, and later religious identifier for people living in the Indian subcontinent. It is assumed that the term ''"Hindu"'' traces back to Avestan scripture Vendidad which refers to land of seven rivers as Hapta Hendu which itself is a cognate to Sanskrit term ''Sapta Sindhuḥ''. (The term ''Sapta Sindhuḥ'' is mentioned in Rig Veda and refers to a North western Indian region of seven rivers and to India as a whole.) The Greek cognates of the same terms are "''Indus''" (for the river) and "''India''" (for the land of the river). Likewise the Hebrew cognate ''hōd-dū'' refers to India mentioned in Hebrew BibleEsther 1:1. The term "''Hindu''" also implied a geographic, ethnic or cultural identifier for people li ...
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