Bhagahara, Bhāgahara, Bhaga-hara, Bhāgahāra: 12 definitions
Introduction:
Bhagahara means something in Hinduism, Sanskrit, the history of ancient India. If you want to know the exact meaning, history, etymology or English translation of this term then check out the descriptions on this page. Add your comment or reference to a book if you want to contribute to this summary article.
In Hinduism
Ganitashastra (Mathematics and Algebra)
Bhāgahāra (भागहार, “division”) refers to one of the twenty operations (logistics) of pāṭīgaṇita (“science of calculation which requires the use of writing material—the board”), according to Pṛthudakasvāmī’s commentary on the Brāhmasphuṭasiddhānta by Brahmagupta, a Sanskrit treatise on ancient Indian mathematics (gaṇita-śāstra) and astronomy from the 7th century.—The common Hindu names for the operation are bhāgahāra, bhājana, haraṇa, chedana, etc. All these terms literally mean “to break into parts”, i.e., “to divide”, excepting haraṇa which denotes “to take away”. This term shows the relation of division to subtraction. The dividend is termed bhājya, hārya, etc., the divisor bhājaka, bhāgahara or simply hara, and the quotient labdhi “what is obtained” or labdha.
Division (bhāgahāra) was considered to be a difficult and tedious operation by European scholars even as late as the 15th and 16th centuries; 1 but in India the operation was not considered to be difficult, as the most satisfactory method of performing it had been evolved at a very early period. In fact, no Hindu mathematician seems to have attached any great importance to this operation.
Mahāvīra in the Gaṇitasārasaṃgraha: “Putting down the dividend and below it the divisor, and then, having performed division by the method of removing common factors, give out the resulting (quotient)”
Bhāgahāra (भागहार) refers to “division”, and represents a technical term occurring in the Gaṇitasāra-saṅgraha—an ancient Sanskrit text dealing with ancient Indian algebra and mathematical problems written by Mahāvīra (Mahāvīrācārya) in the 9th century.
Ganita (गणित) or Ganitashastra refers to the ancient Indian science of mathematics, algebra, number theory, arithmetic, etc. Closely allied with astronomy, both were commonly taught and studied in universities, even since the 1st millennium BCE. Ganita-shastra also includes ritualistic math-books such as the Shulba-sutras.
India history and geography
Bhāgahara.—(EI 24), same as Bhāgin; a collector of the king's grain share. Cf. Bhāgahāra. Note: bhāgahara is defined in the “Indian epigraphical glossary” as it can be found on ancient inscriptions commonly written in Sanskrit, Prakrit or Dravidian languages.
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Bhāgahāra.—(HD), ‘he who recovers the [king's] share [of the procuce of land]’; one of the six officers of each village, according to Śukra, II. 120. Cf. Bhāgahara. Note: bhāgahāra is defined in the “Indian epigraphical glossary” as it can be found on ancient inscriptions commonly written in Sanskrit, Prakrit or Dravidian languages.
The history of India traces the identification of countries, villages, towns and other regions of India, as well as mythology, zoology, royal dynasties, rulers, tribes, local festivities and traditions and regional languages. Ancient India enjoyed religious freedom and encourages the path of Dharma, a concept common to Buddhism, Hinduism, and Jainism.
Languages of India and abroad
Sanskrit dictionary
Bhāgahara (भागहर).—
1) a co-heir.
2) division (in math.)
Derivable forms: bhāgaharaḥ (भागहरः).
Bhāgahara is a Sanskrit compound consisting of the terms bhāga and hara (हर).
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Bhāgahāra (भागहार).—division (in math.).
Derivable forms: bhāgahāraḥ (भागहारः).
Bhāgahāra is a Sanskrit compound consisting of the terms bhāga and hāra (हार).
Bhāgahara (भागहर).—mfn.
(-raḥ-rā-raṃ) Taking a part, sharing. m.
(-raḥ) 1. A co-heir. 2. (In arithmetic,) Division. E. bhāga and hara who or what takes.
Bhāgahara (भागहर).—[adjective] receiving a share; [masculine] heir.
1) Bhāgahara (भागहर):—[=bhāga-hara] [from bhāga] mfn. taking a part, sharing, a co-heir, [Mahābhārata]
2) Bhāgahāra (भागहार):—[=bhāga-hāra] [from bhāga] m. division, [Colebrooke]
Bhāgahara (भागहर):—[bhāga-hara] (raḥ-rā-raṃ) a. Taking a part. m. A co-heir; division.
Bhāgahara (भागहर):—(1. bhāga + hara) adj. einen Antheil erhaltend: devatāḥ kratuṣu [Mahābhārata 12, 13021.] tasmātteṣāṃ bhāgaharā bhāgineyā na sūnavaḥ Erbe [8, 2083.]
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Bhāgahāra (भागहार):—(1. bhāga + hāra) m. Division [Algebra 8.]
Bhāgahara (भागहर):—Adj. einen Antheil erhaltend ; m. Erbe.
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Bhāgahāra (भागहार):—m. Division.
Sanskrit, also spelled संस्कृतम् (saṃskṛtam), is an ancient language of India commonly seen as the grandmother of the Indo-European language family (even English!). Closely allied with Prakrit and Pali, Sanskrit is more exhaustive in both grammar and terms and has the most extensive collection of literature in the world, greatly surpassing its sister-languages Greek and Latin.
Kannada-English dictionary
Bhāgahāra (ಭಾಗಹಾರ):—[noun] = ಭಾಗಾಹಾರ [bhagahara].
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Bhāgāhāra (ಭಾಗಾಹಾರ):—[noun] (math.) the process of finding how many times a number is contained in another number; division.
Kannada is a Dravidian language (as opposed to the Indo-European language family) mainly spoken in the southwestern region of India.
Nepali dictionary
Bhāgahāra (भागहार):—n. Math. division;
Nepali is the primary language of the Nepalese people counting almost 20 million native speakers. The country of Nepal is situated in the Himalaya mountain range to the north of India.
See also (Relevant definitions)
Partial matches (+0): Hara, Bhaga.
Full-text (+4): Bhinnabhagahara, Ubhayabhagahara, Ubhayatobhagahara, Bhajya, Harya, Chedana, Bhajaka, Harana, Bhajana, Urdhvabhagahara, Mahayajnabhagahara, Bhagakara, Bhagahaar, Bhagara, Hara, Labdha, Labdhi, Mahayajna, Bhagadugha, Pratiloma.
Relevant text
Search found 11 books and stories containing Bhagahara, Bhaga-hara, Bhāga-hara, Bhāga-hāra, Bhāgahara, Bhāgahāra, Bhāgāhāra; (plurals include: Bhagaharas, haras, hāras, Bhāgaharas, Bhāgahāras, Bhāgāhāras). You can also click to the full overview containing English textual excerpts. Below are direct links for the most relevant articles:
Ganita-sara-sangraha by Mahavira-Acharya (by M. Rangacharya)
Chapter 2 - Prathamah parikarmavyavaharah < [Part 2 - Sanskrit text]
Chapter 1 - Samjnadhikarah < [Part 2 - Sanskrit text]
Chapter 1 - On Terminology (samjna-adhikara) < [Part 1 - English translation]
Ganitatilaka (Sanskrit text and English introduction) (by H. R. Kapadia)
Page 78 < [Sanskrit Text of the Ganitatilaka]
Page 102 < [Sanskrit Text of the Ganitatilaka]
Part 23 - Outlines of Ganitatilaka < [Introduction]
Gommatsara by Acharya Nemichandra (by Bai Bahadur J. L. Jaini)
Index < [Volume 3 - Karma-kanda, part 2]
Chapter 4 - Triculika: The three Appendices < [Volume 3 - Karma-kanda, part 2]
Chapter 17.7 - The concept of Phala (Function) < [Volume 1 - Jiva-kanda (the soul)]
Brahmasphutasiddhanta by Brahmagupta (Introduction) (by Acharyavara Ram Swarup Sharma)
Part 15 - Indeterminate Equations of the First Degree < [Chapter 10 - Brahmagupta as an Algebraist]
Part 3 - Operations and Determinations in Patiganita < [Chapter 9 - Brahmagupta and Arithmetic]
Part 4 - The concept of Multiplication (in Indian mathematics) < [Chapter 9 - Brahmagupta and Arithmetic]
A Descriptive Catalogue of the Sanskrit Manuscripts, Madras (by M. Seshagiri Sastri)
Page 42 < [Volume 24 (1918)]
International Ayurvedic Medical Journal
Artavakshaya w.s.r. to pcos - a case study < [2018, Issue IX, September]
A comparative study on ghreya vamaka yoga < [2020, Issue 11, November]
Efficacy of sadhya vaman in sheetpitta (w.s.r. to urticaria)- a review < [2023, Issue 11. November]