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Khagaul | |
---|---|
Urban | |
Coordinates: 25°35′N85°03′E / 25.58°N 85.05°E | |
Country | India |
State | Bihar |
District | Patna |
Government | |
• Type | Nagar Parishad |
• Body | Khagaul Nagar Parishad |
• Member Of Parliament | Ram Kripal Yadav (BJP) |
• Member Of Legislative Assembly | Ritlal Yadav (RJD) |
Area | |
• Total | 3 km2 (1 sq mi) |
Elevation | 55 m (180 ft) |
Population (2021) | |
• Total | 34,364 [1] |
Languages | |
• Official | Magahi, Hindi |
Time zone | UTC+5:30 (IST) |
PIN | 801105 |
Vehicle registration | BR |
Website | patna |
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.
Khagaul is an ancient city and was an ancient observatory under Mauryan rule. 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.
Khagaul is located at 25°35′N85°03′E / 25.58°N 85.05°E . [2] It has an average elevation of 55 metres (180 feet).
As of 2001 [update] India census, [1] 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, [3] The Khagaul Nagar Parishad had a population of 44,364 of which 23,492 are males while 20,872 are females.
The population of children with age 0-6 is 5198 which is 11.72% of the total population of Khagaul.
The female Sex Ratio is 888 against the state average of 918.
The literacy rate of Khagaul city is 86.82% higher than the state average of 61.80%. In Khagaul, Male literacy is around 91.81% while the female literacy rate is 81.23%.
Khagaul is a historical place. In ancient times, before Christ, Khagaul was called Kusumpura or Kusumpur, near Pataliputra, which was the capital city of the mighty Magadh Empire. Pushpapur was located between Pataliputra and Kusumpur. In modern times Pataliputra is called Patna, whereas Kusumpura or Kusumpur is called Khagaul, and Pushpapur is called Phulwari or Phulwari Shree or Phulwari Sharif. [ citation needed ]
Shakhtar and Chanakya (also known as Kautilya or Vishnugupta), two famous Prime Ministers of the Magadh Empire belonged to Kusumpur or present-day Khagaul during Fourth Century BC. Chanakya had provided initial education and training to Chandragupta Maurya (Great Emperor of the Magadh Empire and Founder of the Maurya Dynasty) at this very place. Under the guidance of Chanakya, the mighty Magadh Empire was spread from present-day India, Bangladesh, Pakistan, and Afghanistan up to Iran after defeating the forces of Alexander and Seleucus. The tyrannical rule of King Dhanananda over Magadh was brought to an end by the rebellion of Chanakya after his arrest, humiliation, and death sentence inflicted against his father Chanak by the tyrannical King Dhanananda. Thereafter, Chandragupta Maurya, the disciple of Chanakya, was made King-Emperor of the Magadh Empire and Chanakya became its Prime Minister. Chanakya was a great scholar, economist, administrator, jurist, lawmaker, and a very sharp-minded nationalist and shrewd politician. He was a student of Takshashila or Taxila University, and also worked as an Acharya or professor at the same university. Under the guidance of Chanakya, the mighty Magadh Empire had become the most powerful, influential, most developed, and richest empire in the world, and Pataliputra had become the most beautiful city. [ citation needed ]
After the 5th century AD, Kusumpur was renamed Khagaul after Khagol or Khagol Shastra i.e. Astronomy, as it was an eminent center of Astronomical Observatory (Khagoliya Vedhashala) established by Aryabhata or Aryabhatta for Astronomical Studies and Astronomical Research. Aryabhatta is called Father of Algebra, Geometry and Trigonometry, the Concept of Zero (0), and the decimal system. [ citation needed ]
Aryabhata, also called Aryabhata I or Aryabhata the Elder (born in the year 476 AD), at Kusumapura, near Pataliputra or present-day Patna in India) was astronomer and the earliest Indian mathematician whose work and history are available to modern scholars. He is also known as Aryabhata I or Aryabhata the Elder to distinguish him from a 10th-century Indian mathematician of the same name. He flourished in Kusumapura—near Pataliputra (Patna), then the capital of the Gupta dynasty—where he composed at least two works, Aryabhatiya (c. 499) and the now lost Aryabhatasiddhanta.[ citation needed ]
Aryabhatasiddhanta circulated mainly in the northwest of India and, through the Sāsānian dynasty (224–651) of Iran, had a profound influence on the development of Islamic astronomy. Its contents are preserved to some extent in the works of Varahamihira (flourished c. 550), Bhaskara I (flourished c. 629), Brahmagupta (598 – c. 665), and others. It is one of the earliest astronomical works to assign the start of each day to midnight.
Aryabhatiya was particularly popular in South India, where numerous mathematicians over the ensuing millennium wrote commentaries. The work was written in verse couplets and deals with mathematics and astronomy. Following an introduction that contains astronomical tables and Aryabhata's system of phonemic number notation in which numbers are represented by a consonant-vowel monosyllable, the work is divided into three sections: Ganita ("Mathematics"), Kala-kriya ("Time Calculations"), and Gola ("Sphere").
In Ganita Aryabhata names the first 10 decimal places and gives algorithms for obtaining square and cubic roots, using the decimal number system. Then he treats geometric measurements—employing 62,832/20,000 (= 3.1416) for π—and develops properties of similar right-angled triangles and two intersecting circles. Using the Pythagorean theorem, he obtained one of the two methods for constructing his table of sines. He also realized that second-order sine difference is proportional to sine. Mathematical series, quadratic equations, compound interest (involving a quadratic equation), proportions (ratios), and the solution of various linear equations are among the arithmetic and algebraic topics included. Aryabhata's general solution for linear indeterminate equations, which Bhaskara I called kuttakara ("pulverizer"), consisted of breaking the problem down into new problems with successively smaller coefficients—essentially the Euclidean algorithm and related to the method of continued fractions.
With Kala-kriya Aryabhata turned to astronomy—in particular, treating planetary motion along the ecliptic. The topics include definitions of various units of time, eccentric and epicyclic models of planetary motion (see Hipparchus for earlier Greek models), planetary longitude corrections for different terrestrial locations, and a theory of " lords of the hours and days" (an astrological concept used for determining propitious times for action).
Aryabhatiya ends with spherical astronomy in Gola, where he applied plane trigonometry to spherical geometry by projecting points and lines on the surface of a sphere onto appropriate planes. Topics include the prediction of solar and lunar eclipses and an explicit statement that the apparent westward motion of the stars is due to the spherical Earth's rotation about its axis. Aryabhata also correctly ascribed the luminosity of the Moon and planets to reflected sunlight.
The Indian Government named its first satellite Aryabhata (launched 1975) in his honour.[ citation needed ]
Chandragupta Maurya was the first emperor of the Mauryan Empire in Ancient India. He extensively expanded the Kingdom of Magadha and founded the Maurya dynasty. He reigned from 320 BCE to 298 BCE. The Magadhan kingdom under the Mauryas expanded to become an empire that reached its peak under the reign of his grandson, Asoka, from 268 BCE to 231 BCE. The nature of the political formation that existed in Chandragupta's time is not certain. The Mauryan empire was a loose-knit one with large autonomous regions within its limits.
Aryabhata or Aryabhata I was the first of the major mathematician-astronomers from the classical age of Indian mathematics and Indian astronomy. His works include the Āryabhaṭīya and the Arya-siddhanta.
The Maurya Empire, or the Mauryan Empire, was a geographically extensive Iron Age historical power on the Indian subcontinent based in Magadha. Founded by Chandragupta Maurya in 322 BCE, and existing in loose-knit fashion until 185 BCE. The Maurya Empire was centralized by the conquest of the Indo-Gangetic Plain, and its capital city was located at Pataliputra, modern Patna. Outside this imperial center, the empire's geographical extent depended on the loyalty of military commanders who controlled the armed cities that sprinkled it. During Ashoka's rule the empire briefly controlled the major urban hubs and arteries of the Indian subcontinent except those in the deep south. It declined for about 50 years after Ashoka's rule, and dissolved in 185 BCE with the assassination of Brihadratha by Pushyamitra Shunga and the foundation of the Shunga Empire in Magadh.
Bhāskara was a 7th-century Indian mathematician and astronomer who was the first to write numbers in the Hindu–Arabic decimal system with a circle for the zero, and who gave a unique and remarkable rational approximation of the sine function in his commentary on Aryabhata's work. This commentary, Āryabhaṭīyabhāṣya, written in 629 CE, is among the oldest known prose works in Sanskrit on mathematics and astronomy. He also wrote two astronomical works in the line of Aryabhata's school: the Mahābhāskarīya and the Laghubhāskarīya.
Vaishali district is a district in the Indian state of Bihar. It is a part of Tirhut division. Vaishali is known for being the birthplace of Mahavira of the Jain religion. Hajipur, its largest city and district headquarters, is known for its banana forest. The district is connected via the NH-77 and NH-322 highways, which connect the state capital Patna, the division headquarters Muzaffarpur, and the eastward district Samastipur.
Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics, important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, and Varāhamihira. The decimal number system in use today was first recorded in Indian mathematics. Indian mathematicians made significant early contributions to the study of the concept of zero as a number, negative numbers, arithmetic, and algebra. In addition, trigonometry was further advanced in India, and, in particular, the modern definitions of sine and cosine were developed there. These mathematical concepts were transmitted to the Middle East, China, and Europe and led to further developments that now form the foundations of many areas of mathematics.
Danapur is an Indian satellite town and one of the 6 sub-divisions (Tehsil) in Patna district of Bihar state. The population was 182,241 at the 2011 India Census. It is part of the Patna Metropolitan Region. It was constituted as a municipality in 1887. Danapur is also a shelter and hatchery for the migrating Siberian cranes, locally called Janhgil. They visit every year during the monsoon season for breeding and leave this place before the start of the winter season. The Sub-Area Headquarters of Bihar and Jharkhand is situated in the army cantonment here.
Patna, the capital of Bihar state, India, is one of the oldest continuously inhabited places in the world and the history of Patna spans at least three millennia. Patna has the distinction of being associated with the two most ancient religions of the world, namely, Buddhism and Jainism. The ancient city of Pataliputra was the capital of the Mauryan, Shunga, and Gupta Empires.
Patna district is one of the thirty-eight districts of Bihar state in eastern India. Patna, the capital of Bihar, is the district headquarters. The Patna district is a part of Patna division. The Patna district is divided into 6 Sub-divisions (Tehsils) i.e. Patna Sadar, Patna City, Barh, Masaurhi, Danapur and Paliganj.
The history of Bihar is one of the most varied in India. Bihar consists of three distinct regions, each has its own distinct history and culture. They are Magadha, Mithila and Bhojpur. Chirand, on the northern bank of the Ganga River, in Saran district, has an archaeological record dating from the Neolithic age. Regions of Bihar—such as Magadha, Mithila and Anga—are mentioned in religious texts and epics of ancient India. Mithila is believed to be the centre of Indian power in the Later Vedic period. Mithila first gained prominence after the establishment of the ancient Videha Kingdom. The kings of the Videha were called Janakas. A daughter of one of the Janaks of Mithila, Sita, is mentioned as consort of Lord Rama in the Hindu epic Ramayana. The kingdom later became incorporated into the Vajjika League which had its capital in the city of Vaishali, which is also in Mithila.
Aryabhatiya 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.
Pataliputra, adjacent to modern-day Patna, was a city in ancient India, originally built by Magadha ruler Ajatashatru in 490 BCE, as a small fort near the Ganges river. Udayin laid the foundation of the city of Pataliputra at the confluence of two rivers, the Son and the Ganges. He shifted his capital from Rajgriha to Pataliputra due to the latter's central location in the empire.
Phulwari or Phulwari Sharif is Block and town in Patna district in the Indian state of Bihar. The current metro plan of Patna has one route in Phulwari Sharif.It includes in Patna Metropolitan Region and one of the fastest growing area of urban Patna.The civilisation of the city dates back to the days of inception of the Sufi culture in India. Phulwari Sharif had been frequented by most Sufi saints of that period.Phulwari sharif is famous for its islamic spiritual dargah and old mosques.
Islampur is a city and Notified area in Nalanda district in the Indian state of Bihar. it is a city council and no of ward is 26 here.
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 250 square kilometres (97 sq mi) 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 35 kilometres (22 mi) in length and 16 to 18 kilometres wide.
Āryabhata's sine table is a set of twenty-four numbers given in the astronomical treatise Āryabhatiya composed by the fifth century Indian mathematician and astronomer Āryabhata, for the computation of the half-chords of a certain set of arcs of a circle. The set of numbers appears in verse 12 in Chapter 1 Dasagitika of Aryabhatiya. It is not a table in the modern sense of a mathematical table; that is, it is not a set of numbers arranged into rows and columns. Āryabhaṭa's table is also not a set of values of the trigonometric sine function in a conventional sense; it is a table of the first differences of the values of trigonometric sines expressed in arcminutes, and because of this the table is also referred to as Āryabhaṭa's table of sine-differences.
The Nanda-Mauryan War also known as conquest of the Nanda Empire was a war fought in ancient India in late 4th century BCE between Nanda Emperor Dhana Nanda and by a force under Chandragupta Maurya led to the establishment of the Maurya Empire. In this war Chanakya was the mentor of Chandragupta Maurya. Little is known from historical sources for certain dating about the conflict.
The following outline is provided as an overview of and topical guide to Bihar:
The culture of Magadh is rich with its distinct language, folk songs and festivals. In ancient period it was known as Magadha mahajanpada. The present-day Magadh region split between the states of Bihar and Jharkhand, India. The major language of the region is Magahi.