Prabhaga, Prabhāga: 9 definitions
Introduction:
Prabhaga means something in Hinduism, Sanskrit, Hindi. 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.
Alternative spellings of this word include Prabhag.
In Hinduism
Ganitashastra (Mathematics and Algebra)
Prabhāga (प्रभाग) refers to one of the six classes (jāti) of combinations of Bhinna (“fractions”), which 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.—Hindu treatises contain special rules for the reduction of classes [of numbers] (jāti) to proper fractions (bhinna). Śrīdhara and Mahāvīra each enumerate six jātis [e.g., Prabhāga], while Brahmagupta gives only five and Bhāskara II following Skandasena reduces the number to four. The need for the division of fractions into classes arose out of the lack of proper symbolism to indicate mathematical operations.
Prabhāga (प्रभाग) refers to the “fraction of a fraction”, 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.
Languages of India and abroad
Sanskrit dictionary
Prabhāga (प्रभाग).—
1) Division.
2) The fraction of a fraction (in math.).
Derivable forms: prabhāgaḥ (प्रभागः).
Prabhāga (प्रभाग).—m.
(-gaḥ) 1. Division. 2. The fraction of a fraction, (in Math.)
1) Prabhāga (प्रभाग):—[=pra-bhāga] [from pra-bhaj] a m. division, [Kātyāyana-śrauta-sūtra]
2) [v.s. ...] ([from] pra + bhāga) the fraction of a fraction, a sub-fraction, [Colebrooke]
3) b See pra-√bhaj.
Prabhāga (प्रभाग):—m.
1) (von bhañj mit pra) Theilung [Kātyāyana’s Śrautasūtrāṇi 6, 7, 9.] pāda [Yāska’s Nirukta 2, 7.] —
2) (pra + bhāga) der Bruch eines Bruchs [Algebra 14.] jāti die Reduction eines solchen Bruchs auf einen einfachen Bruch ebend.
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Prabhāga (प्रभाग):—[Z. 1] lies bhaj st. bhañj .
Prabhāga (प्रभाग):—1. m. Theilung.
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Prabhāga (प्रभाग):—2. m. der Bruch eines Bruchs. jāti f. die Reduction eines solchen Bruchs auf einen einfachen.
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.
Hindi dictionary
Prabhāga (प्रभाग) [Also spelled prabhag]:—(nm) a division (of an organisation); section.
...
Kannada-English dictionary
Prabhāga (ಪ್ರಭಾಗ):—[noun] a main division or substantially big portion of something.
Kannada is a Dravidian language (as opposed to the Indo-European language family) mainly spoken in the southwestern region of India.
See also (Relevant definitions)
Starts with: Prabhagajati, Prabhagajatisavarnana, Prabhagata.
Full-text: Prabhagajati, Pratibhagam, Prabhag, Prabhagata, Bhagamatri, Bhinna, Jati.
Relevant text
Search found 10 books and stories containing Prabhaga, Pra-bhaga, Pra-bhāga, Prabhāga; (plurals include: Prabhagas, bhagas, bhāgas, Prabhāgas). You can also click to the full overview containing English textual excerpts. Below are direct links for the most relevant articles:
Dictionaries of Indian languages (Kosha)
Page 209 < [Hindi-English-Nepali (1 volume)]
Page 598 < [English-Gujarati-Hindi (1 volume)]
Page 158 < [English-Gujarati-Hindi (1 volume)]
A Descriptive Catalogue of the Sanskrit Manuscripts, Madras (by M. Seshagiri Sastri)
Page 39 < [Volume 1, Part 2 (1904)]
Brahmasphutasiddhanta by Brahmagupta (Introduction) (by Acharyavara Ram Swarup Sharma)
Part 9 - The concept of Fractions (in Indian mathematics) < [Chapter 9 - Brahmagupta and Arithmetic]
Sripura (Archaeological Survey) (by Bikash Chandra Pradhan)
Siva Temples at Sripura (Introduction) < [Chapter 2 - The Architectural Panorama]
Ganitatilaka (Sanskrit text and English introduction) (by H. R. Kapadia)
Ganita-sara-sangraha by Mahavira-Acharya (by M. Rangacharya)
Appendix 2 - Sanskrit words used in the Translation and their explanation
Chapter 1 - Samjnadhikarah < [Part 2 - Sanskrit text]
Chapter 3 - Dvitiyah kalasavarnavyavaharah < [Part 2 - Sanskrit text]