Alternative spellings of this word include Panchagata.

In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Pañcagata (पञ्चगत) refers to the “fifth power” (lit. “raised to the fifth”), 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), [...]. Brahmagupta’s system of expressing powers higher than the fourth is scientifically better. He calls the fifth power pañcagata (literally, raised to the fifth), the sixth power ṣaḍgata (raised to the sixth); similarly the term for any power is coined by adding the suffix to the name of the number indicating that power. Bhāskara II has sometimes followed it consistently for the powers one and upwards.

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

Pañcagata (पञ्चगत).—a. (in alg.) raised to the fifth power.

Pañcagata is a Sanskrit compound consisting of the terms pañcan and gata (गत).

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

Pañcagata (पञ्चगत):—[=pañca-gata] [from pañca] mfn. ‘arrived at 5’, raised to the 5th power, [Colebrooke]

[Sanskrit to German]

Pancagata in German

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: Gata, Panca.

Starts with: Pancagataya.

Full-text: Sadgata.

Relevant text

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