Prabhaga, Prabhāga: 8 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)

Source: archive.org: Hindu Mathematics

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.

Ganitashastra book cover
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Ganitashastra (शिल्पशास्त्र, gaṇitaśāstra) 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.

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Languages of India and abroad

Sanskrit dictionary

Source: DDSA: The practical Sanskrit-English dictionary

Prabhāga (प्रभाग).—

1) Division.

2) The fraction of a fraction (in math.).

Derivable forms: prabhāgaḥ (प्रभागः).

Source: Cologne Digital Sanskrit Dictionaries: Shabda-Sagara Sanskrit-English Dictionary

Prabhāga (प्रभाग).—m.

(-gaḥ) 1. Division. 2. The fraction of a fraction, (in Math.)

Source: Cologne Digital Sanskrit Dictionaries: Monier-Williams Sanskrit-English Dictionary

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.

[Sanskrit to German]

Prabhaga in German

context information

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.

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Hindi dictionary

[«previous next»] — Prabhaga in Hindi glossary
Source: DDSA: A practical Hindi-English dictionary

Prabhāga (प्रभाग) [Also spelled prabhag]:—(nm) a division (of an organisation); section.

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Kannada-English dictionary

Source: Alar: Kannada-English corpus

Prabhāga (ಪ್ರಭಾಗ):—[noun] a main division or substantially big portion of something.

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Kannada is a Dravidian language (as opposed to the Indo-European language family) mainly spoken in the southwestern region of India.

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