Vilomagati, Viloma-gati: 1 definition

Introduction:

Vilomagati means something in Hinduism, Sanskrit. 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)

Source: archive.org: Hindu Mathematics

Vilomagati (विलोमगति) or “working backwards” refers to the “method of inversion”, according to the principles 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 method of inversion called vilomagati (“working backwards”) is found to have been commonly used in India from very early times.

Āryabhaṭa I in the Āryabhaṭīya (Gaṇitapāda 28): “In the method of inversion multipliers become divisors and divisors become multipliers, addition becomes subtraction and subtraction becomes addition”.

Brahmagupta in the Brāhmasphuṭasiddhānta: “Beginning from the end, make the multiplier divisior, the divisor multiplier; (make) addition subtraction and subtraction addition; (make) square square-root, and square-root square; this gives the required quantity”.

Ganitashastra book cover
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.

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