Janyavyavahara, Janyavyavahāra, Janya-vyavahara: 1 definition
Introduction:
Janyavyavahara 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 MathematicsJanyavyavahāra (जन्यव्यवहार) refers to a “Janya operations” (in calculations relating to measurement of areas), according to the principles of Bījagaṇita (“algebra” or ‘science of calculation’), according to Gaṇita-śāstra, ancient Indian mathematics and astronomy.—A triangle or a quadrilateral whose sides, altitudes and other dimensions can be expressed in terms of rational numbers is called janya (meaning generated, formed or that which is generated or formed) by Mahāvīra in the Gaṇitasārasaṃgraha.
Note: The section of Mahāvīra’s work devoted to the treatment of rational triangles and quadrilaterals bears the sub-title janyavyavahāra (Janya operation) and it begins as “Hereafter we shall give out the janya operations in calculations relating to measurement of areas”. Mahāvīra’s treatment of the subject has been explained fully by Bibhutibhusan Datta in a paper entitled: “On Mahavira’s solution of rational triangles and quadrilaterals”.
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.
See also (Relevant definitions)
Partial matches: Janya, Vyavahara.
Full-text: Janya.
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