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Vargaghanaghata, ղ󲹲Բٲ, Vargaghana-ghata: 2 definitions

Introduction:

Vargaghanaghata 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)

[«𱹾dzܲ Ա»] � Vargaghanaghata in Ganitashastra glossary
: archive.org: Hindu Mathematics

ղ󲹲Բٲ (वर्गघनघा�) or “product of cube and square� refers to the “fifth power�, according to the principles of Bījagaṇita (“algebra� or ‘science of calculation�), according to Gaṇita-śāstra, ancient Indian mathematics and astronomy.—The oldest Hindu terms for the power of a quantity, known or unknown, are found in the Uttarādhyayana-sūtra (c. 300 B.C. or earlier). In it the second power is called varga (square), the third power ghana (cube), the fourth power vargavarga (square-square), the sixth power ghanavarga (cube-square), and the twelfth power ghanavargavarga (cube-square-square), using the multiplicative instead of the additive principle. In this work we do not find any method for indicating odd powers higher than the third. In later times, the fifth power is called 󲹲Բٲ (product of cube and square, ٲ=product), the seventh power varga󲹲Բٲ (product of square-square and cube) and so on.

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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Languages of India and abroad

Sanskrit dictionary

[«𱹾dzܲ Ա»] � Vargaghanaghata in Sanskrit glossary
: Cologne Digital Sanskrit Dictionaries: Monier-Williams Sanskrit-English Dictionary

ղ󲹲Բٲ (वर्गघनघा�):—[=varga-ghana-ٲ] [from varga-ghana > varga] m. (in [arithmetic]) the fifth power.

context information

Sanskrit, also spelled संस्कृतम� (ṃsṛt), 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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