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Janyavyavahara, ´³²¹²Ô²â²¹±¹²â²¹±¹²¹³óÄå°ù²¹, 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)

: archive.org: Hindu Mathematics

´³²¹²Ô²â²¹±¹²â²¹±¹²¹³óÄå°ù²¹ (जनà¥à¤¯à¤µà¥à¤¯à¤µà¤¹à¤¾à¤�) refers to a “Janya operationsâ€� (in calculations relating to measurement of areas), according to the principles of BÄ«jagaṇita (“algebraâ€� or ‘science of calculationâ€�), according to Gaṇita-Å›Ästra, 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 MahÄvÄ«ra in the GaṇitasÄrasaṃgraha.

Note: The section of MahÄvÄ«ra’s work devoted to the treatment of rational triangles and quadrilaterals bears the sub-title Âá²¹²Ô²â²¹±¹²â²¹±¹²¹³óÄå°ù²¹ (Janya operation) and it begins as “Hereafter we shall give out the janya operations in calculations relating to measurement of areasâ€�. MahÄvÄ«ra’s treatment of the subject has been explained fully by Bibhutibhusan Datta in a paper entitled: “On Mahavira’s solution of rational triangles and quadrilateralsâ€�.

Ganitashastra book cover
context information

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.

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