# Patiganita, Pāṭīgaṇita, Pati-ganita: 7 definitions

## Introduction:

Patiganita means something in Hinduism, Sanskrit, Marathi. 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 MathematicsPāṭīgaṇita (पाटीगणित) or “arithmetic” refers to the “science of calculation which requires the use of writing material (the board)”, according to Pṛthudakasvāmī’s commentary on the Brāhmasphuṭasiddhānta by Brahmagupta, a Sanskrit treatise on ancient Indian mathematics (*gaṇita-śāstra*) and astronomy from the 7th century.—Some later writers have used the term *vyaktagaṇita* (“the science of calculation by the ‘known’”) for *pāṭīgaṇita* to distinguish it from algebra which was called *avyaktagaṇita* (“the science of calculation by the ‘unknown’”). According to Brahmagupta there are twenty operations and eight determinations in *pāṭīgaṇita*.

The twenty logistics, according to Pṛthudakasvāmī’s commentary, are:

*saṃkalita*(addition),*vyavakalita or vyutkalita*(subtraction),*guṇana*(multiplication),*bhāgahāra*(division),*varga*(square),*vargamūla*(square-root),*ghana*(cube),*ghanamūla*(cube-root),*pañcajāti*(the five rules of reduction relating to the five standard forms of fractions),*trairāśika*(the rule of three),*vyastatrairāśika*(the inverse rule of three),*pañcarāśika*(the rule of five),*saptarāśika*(the rule of seven),*navarāśika*(the rule of nine),*ekādaśarāśika*(the rule of eleven),*bhāṇḍapratibhāṇḍa*(barter and exchange).

The eight determinations are:

*miśraka*(mixture),*śreḍhī*(progression or series),*kṣetra*(plane figures),*khāta*(excavation),*citi*(stock),*krākacika*(saw),*rāśi*(mound),*chāyā*(shadow).

*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

### Marathi-English dictionary

Source: DDSA: The Molesworth Marathi and English Dictionarypāṭīgaṇita (पाटीगणित).—n S (Board-reckoning.) Arithmetic.

*context information*

Marathi is an Indo-European language having over 70 million native speakers people in (predominantly) Maharashtra India. Marathi, like many other Indo-Aryan languages, evolved from early forms of Prakrit, which itself is a subset of Sanskrit, one of the most ancient languages of the world.

### Sanskrit dictionary

Source: DDSA: The practical Sanskrit-English dictionaryPāṭīgaṇita (पाटीगणित).—arithmetic; the science of Arithmetic; पाटी नाम संकलितव्यवकलितगुणन- भाजनादीनां क्रमः तया युक्तं गणितं पाटीगणितम् (*pāṭī nāma saṃkalitavyavakalitaguṇana- bhājanādīnāṃ kramaḥ tayā yuktaṃ gaṇitaṃ pāṭīgaṇitam*) Līlāvatī-ṭīkā.

Derivable forms: *pāṭīgaṇitam* (पाटीगणितम्).

Pāṭīgaṇita is a Sanskrit compound consisting of the terms *pāṭī* and *gaṇita* (गणित).

Pāṭīgaṇita (पाटीगणित) as mentioned in Aufrecht’s Catalogus Catalogorum:—by Śrīdhara.

—[commentary] Stein 165.

Pāṭīgaṇita (पाटीगणित):—[=*pāṭī-gaṇita*] [from *pāṭī > pāṭa*] n. Name of [work]

#### [Sanskrit to 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: Ganita, Pati.

Starts with: Patiganitatika.

Full-text (+152): Dhulikarma, Pati, Avyakta, Vyakta, Bhanda, Pratibhanda, Pratiloma, Ganita, Ghanapada, Shridhara, Viyoga, Vyutkalana, Vyutkalita, Bhagapavaha, Bhandapratibhanda, Patana, Viloma, Dhuli, Parasparakrita, Avyaktaganita.

## Relevant text

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