In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Vargavarga (वर्गवर्ग) or “square-square” refers to the “fourth 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 vargaghanaghāta (product of cube and square, ghāta=product), the seventh power vargavargaghanaghāta (product of square-square and cube) and so on.

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

Sanskrit dictionary

Source: DDSA: The practical Sanskrit-English dictionary

Vargavarga (वर्गवर्ग).—the square of a square.

Derivable forms: vargavargaḥ (वर्गवर्गः).

Vargavarga is a Sanskrit compound consisting of the terms varga and varga (वर्ग).

Source: Cologne Digital Sanskrit Dictionaries: Monier-Williams Sanskrit-English Dictionary

Vargavarga (वर्गवर्ग):—[=varga-varga] [from varga] m. (in [arithmetic]) the square of a square, a biquadratic number

context information

Sanskrit, also spelled संस्कृतम् (saṃskṛtam), 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.

See also (Relevant definitions)

Partial matches: Varga.

Starts with: Vargavargavarga.

Ends with: Ghanavargavarga, Vargavargavarga.

Full-text: Vargavargavarga, Vava, Vaghagha, Vavaghagha, Ghava, Gha, Va, Ghanavarga, Vargaghanaghata, Ghanavargavarga, Samikarana, Ganita, Varga, Ghana.

Relevant text

No search results for Vargavarga, Varga-varga; (plurals include: Vargavargas, vargas) in any book or story.