In Hinduism

Jyotisha (astronomy and astrology)

Source: Indian National Science Academy: Annual Report 2015-16 (astronomy)

Bhāgāpavāha (भागापवाह) refers to “assimilation of fractional decrease”, as explained in the Kriyākramakarī: a [16th-century] Sanskrit work on mathematics written by Śaṅkara and Nārāyaṇa.

context information

Jyotisha (ज्योतिष, jyotiṣa or jyotish) refers to ‘astronomy’ or “Vedic astrology” and represents the fifth of the six Vedangas (additional sciences to be studied along with the Vedas). Jyotisha concerns itself with the study and prediction of the movements of celestial bodies, in order to calculate the auspicious time for rituals and ceremonies.

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Bhāgāpavāha (भागापवाह) 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., Bhāgāpavāha], 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.

The rule for bhāgāpavāha is given in all the works on pāṭīgaṇita. It is the same as that for bhāgānubandha, except that “addition” or “increase” is replaced by “subtraction” or “decrease” in the enunciation of the rule for bhāgāpavāha.

context information

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.

Languages of India and abroad

Marathi-English dictionary

Source: DDSA: The Molesworth Marathi and English Dictionary

bhāgāpavāha (भागापवाह).—m S In arithmetic. A mixed quantity where the fraction is minus: opp. to bhāgānubandha.

context information

Marathi is an Indo-European language having over 70 million native speakers people in (predominantly) Maharashtra India. Marathi, like many other Indo-Aryan languages, evolved from early forms of Prakrit, which itself is a subset of Sanskrit, one of the most ancient languages of the world.

See also (Relevant definitions)

Partial matches: Bhaga, Apavaha.

Starts with: Bhagapavahajati, Bhagapavahana.

Ends with: Rashibhagapavaha, Rupabhagapavaha.

Full-text: Bhagapavahajati, Rashibhagapavaha, Rupabhagapavaha, Bhaganubandha, Bhagabhaga, Apavaha, Bhinna, Jati.

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