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Aryabhatta
Aryabhata ( ISO: ) or Aryabhata I (476–550 CE) was an Indian mathematician and astronomer of the classical age of Indian mathematics and Indian astronomy. He flourished in the Gupta Era and produced works such as the '' Aryabhatiya'' (which mentions that in 3600 ''Kali Yuga'', 499 CE, he was 23 years old) and the ''Arya-siddhanta.'' Aryabhata created a system of phonemic number notation in which numbers were represented by consonant-vowel monosyllables. Later commentators such as Brahmagupta divide his work into ''Ganita ("Mathematics"), Kalakriya ("Calculations on Time") and Golapada ("Spherical Astronomy")''. His pure mathematics discusses topics such as determination of square and cube roots, geometrical figures with their properties and mensuration, arithmetric progression problems on the shadow of the gnomon, quadratic equations, linear and indeterminate equations. Aryabhata calculated the value of pi (''π)'' to the fourth decimal digit and was likely aware th ...
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Bihar
Bihar (; ) is a state in eastern India. It is the 2nd largest state by population in 2019, 12th largest by area of , and 14th largest by GDP in 2021. Bihar borders Uttar Pradesh to its west, Nepal to the north, the northern part of West Bengal to the east, and with Jharkhand to the south. The Bihar plain is split by the river Ganges, which flows from west to east. On 15 November 2000, southern Bihar was ceded to form the new state of Jharkhand. Only 20% of the population of Bihar lives in urban areas as of 2021. Additionally, almost 58% of Biharis are below the age of 25, giving Bihar the highest proportion of young people of any Indian state. The official languages are Hindi and Urdu, although other languages are common, including Maithili, Magahi, Bhojpuri and other Languages of Bihar. In Ancient and Classical India, the area that is now Bihar was considered the centre of political and cultural power and as a haven of learning. From Magadha arose India's ...
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Surya Siddhanta
The ''Surya Siddhanta'' (; ) is a Sanskrit treatise in Indian astronomy dated to 505 CE,Menso Folkerts, Craig G. Fraser, Jeremy John Gray, John L. Berggren, Wilbur R. Knorr (2017)Mathematics Encyclopaedia Britannica, Quote: "(...) its Hindu inventors as discoverers of things more ingenious than those of the Greeks. Earlier, in the late 4th or early 5th century, the anonymous Hindu author of an astronomical handbook, the ''Surya Siddhanta'', had tabulated the sine function (...)" in fourteen chapters.Plofkerpp. 71–72 The ''Surya Siddhanta'' describes rules to calculate the motions of various planets and the moon relative to various constellations, diameters of various planets, and calculates the orbits of various astronomical bodies. The text is known from a palm-leaf manuscript, and several newer manuscripts. It was composed or revised c. 800 CE from an earlier text also called the ''Surya Siddhanta''. The ''Surya Siddhanta'' text is composed of verses made up of two lines, ...
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Khagaul
Khagaul is a city and a municipality in Patna district in the Indian state of Bihar. It is a part of the Danapur-cum-Khagaul block of Patna. Overview Khagaul is a Nagar Parishad city in the district of Patna, Bihar. The Khagaul city is divided into 27 wards for which elections are held every 5 years. Khagaul Nagar Parishad has total administration of over 7,951 houses to which it supplies basic amenities like water and sewerage. It is also authorized to build roads within Nagar Parishad limits and impose taxes on properties coming under its jurisdiction. Geography Khagaul is located at . It has an average elevation of 55 metres (180 feet). Demographics India census, Khagaul had a population of 48,330. Males constituted 53% of the population and females 47%. Khagaul had an average literacy rate of 71.5%. In Khagaul, 13% of the population was under 6 years of age. As of 2011 India Census, The Khagaul Nagar Parishad had a population of 44,364 of which 23,492 ar ...
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Lalla
Lalla ( 720–790 CE) was an Indian mathematician, astronomer, and astrologer who belonged to a family of astronomers. Lalla was the son of Trivikrama Bhatta and the grandson of Śâmba."Lalla." Complete Dictionary of Scientific Biography. He lived in central India, possibly in the Lāṭa region in modern south Gujarat. Lalla was known as being one of the leading Indian astronomers of the eighth century. Only two of his works are currently thought to be extant.Bracher, Katherine His best-known work is the ''Śiṣyadhīvṛddhidatantra'' ("Treatise which expands the intellect of students"). This text is one of the first major Sanskrit astronomical texts known from the period following the 7th-century works of Brahmagupta and Bhāskara I. It generally treats the same astronomical subject matter and demonstrates the same computational techniques as earlier authors, although there are some significant innovations, such that Lalla’s treatise offers a compromise between the rival ...
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Patna
Patna ( ), historically known as Pataliputra, is the capital and largest city of the state of Bihar in India. According to the United Nations, as of 2018, Patna had a population of 2.35 million, making it the 19th largest city in India. Covering and over 2.5 million people, its urban agglomeration is the 18th largest in India. Patna serves as the seat of Patna High Court. The Buddhist, Hindu and Jain pilgrimage centres of Vaishali, Rajgir, Nalanda, Bodh Gaya and Pawapuri are nearby and Patna City is a sacred city for Sikhs as the tenth Sikh Guru, Guru Gobind Singh was born here. The modern city of Patna is mainly on the southern bank of the river Ganges. The city also straddles the rivers Sone, Gandak and Punpun. The city is approximately in length and wide. One of the oldest continuously inhabited places in the world, Patna was founded in 490 BCE by the king of Magadha. Ancient Patna, known as Pataliputra, was the capital of the Magadh Empire thro ...
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Patna, India
Patna ( ), historically known as Pataliputra, is the capital and largest city of the state of Bihar in India. According to the United Nations, as of 2018, Patna had a population of 2.35 million, making it the 19th largest city in India. Covering and over 2.5 million people, its urban agglomeration is the 18th largest in India. Patna serves as the seat of Patna High Court. The Buddhist, Hindu and Jain pilgrimage centres of Vaishali, Rajgir, Nalanda, Bodh Gaya and Pawapuri are nearby and Patna City is a sacred city for Sikhs as the tenth Sikh Guru, Guru Gobind Singh was born here. The modern city of Patna is mainly on the southern bank of the river Ganges. The city also straddles the rivers Sone, Gandak and Punpun. The city is approximately in length and wide. One of the oldest continuously inhabited places in the world, Patna was founded in 490 BCE by the king of Magadha. Ancient Patna, known as Pataliputra, was the capital of the Magadh Empire through Haryank ...
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Inter-University Centre For Astronomy And Astrophysics
The Inter-University Centre for Astronomy and Astrophysics (IUCAA) is an autonomous institution set up by the University Grants Commission of India to promote nucleation and growth of active groups in astronomy and astrophysics in Indian universities. IUCAA is located in the University of Pune campus next to the National Centre for Radio Astrophysics, which operates the Giant Metrewave Radio Telescope. IUCAA has a campus designed by Indian architect Charles Correa. History After the founding of the Giant Metrewave Radio Telescope (GMRT) by Prof. Govind Swarup, a common research facility for astronomy and astrophysics was proposed by Dr. Yash Pal of the planning commission. Working on this idea, astrophysicist Prof. Jayant Narlikar, along with Ajit Kembhavi and Naresh Dadhich set up IUCAA within the Pune University campus in 1988. In 2002, IUCAA initiated a nationwide campaign to popularize astronomy and astrophysics in colleges and universities. IUCAA arranged visitor p ...
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Earth
Earth is the third planet from the Sun and the only astronomical object known to harbor life. While large volumes of water can be found throughout the Solar System, only Earth sustains liquid surface water. About 71% of Earth's surface is made up of the ocean, dwarfing Earth's polar ice, lakes, and rivers. The remaining 29% of Earth's surface is land, consisting of continents and islands. Earth's surface layer is formed of several slowly moving tectonic plates, which interact to produce mountain ranges, volcanoes, and earthquakes. Earth's liquid outer core generates the magnetic field that shapes the magnetosphere of the Earth, deflecting destructive solar winds. The atmosphere of the Earth consists mostly of nitrogen and oxygen. Greenhouse gases in the atmosphere like carbon dioxide (CO2) trap a part of the energy from the Sun close to the surface. Water vapor is widely present in the atmosphere and forms clouds that cover most of the planet. More sola ...
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Sidereal Year
A sidereal year (, ; ), also called a sidereal orbital period, is the time that Earth or another planetary body takes to orbit the Sun once with respect to the fixed stars. Hence, for Earth, it is also the time taken for the Sun to return to the same position relative to Earth with respect to the fixed stars after apparently travelling once around the ecliptic. It equals for the J2000.0 epoch. The sidereal year differs from the solar year, "the period of time required for the ecliptic longitude of the Sun to increase 360 degrees", due to the precession of the equinoxes. The sidereal year is 20 min 24.5 s longer than the mean tropical year at J2000.0 . At present, the rate of axial precession corresponds to a period of 25,772 years, so sidereal year is longer than tropical year by 1,224.5 seconds (20 min 24.5 s, ~365.24219*86400/25772). Before the discovery of the precession of the equinoxes by Hipparchus in the Hellenistic period, the difference between sidereal ...
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Āryabhaṭīya
''Aryabhatiya'' ( IAST: ') or ''Aryabhatiyam'' ('), a Sanskrit astronomical treatise, is the ''magnum opus'' and only known surviving work of the 5th century Indian mathematician Aryabhata. Philosopher of astronomy Roger Billard estimates that the book was composed around 510 CE based on historical references it mentions. Structure and style Aryabhatiya is written in Sanskrit and divided into four sections; it covers a total of 121 verses describing different moralitus via a mnemonic writing style typical for such works in India (see definitions below): 1. Gitikapada (13 verses): large units of time—kalpa, manvantara, and yuga—which present a cosmology different from earlier texts such as Lagadha's Vedanga Jyotisha (ca. 1st century BCE). There is also a table of ine (jya), given in a single verse. The duration of the planetary revolutions during a mahayuga is given as 4.32 million years. 2. Ganitapada (33 verses): covering mensuration (kṣetra vyāvahāra); arithmetic ...
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Siddhanta
''Siddhānta'' is a Sanskrit term denoting the established and accepted view of any particular school within Indian philosophy; literally "settled opinion or doctrine, dogma, axiom, received or admitted truth; any fixed or established or canonical text-book on any subject" (from ''siddha'', adj. mfn.- accomplished, fulfilled; that has attained the highest object, thoroughly skilled or versed in). Hindu philosophy This term is an established term within Hindu philosophy which denotes a specific line of development within a Hindu religious or philosophical tradition. The traditional schools of Hindu philosophy have had their ''siddhạntas'' established by their respective founders in the form of ''sūtras'' (aphorisms). The ''sūtras'' are commented by a major philosopher in the respective traditions to elaborate upon the established doctrine by quoting from the ''śāstras'' (scriptures) and using logic and pramāṇas (accepted source of knowledge). For example, in the tradit ...
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