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 Mathematics

Pāṭīgaṇita (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:

  1. saṃkalita (addition),
  2. vyavakalita or vyutkalita (subtraction),
  3. guṇana (multiplication),
  4. bhāgahāra (division),
  5. varga (square),
  6. vargamūla (square-root),
  7. ghana (cube),
  8. ghanamūla (cube-root),
  9. pañcajāti (the five rules of reduction relating to the five standard forms of fractions),
  10. trairāśika (the rule of three),
  11. vyastatrairāśika (the inverse rule of three),
  12. pañcarāśika (the rule of five),
  13. saptarāśika (the rule of seven),
  14. navarāśika (the rule of nine),
  15. ekādaśarāśika (the rule of eleven),
  16. bhāṇḍapratibhāṇḍa (barter and exchange).

The eight determinations are:

  1. miśraka (mixture),
  2. śreḍhī (progression or series),
  3. kṣetra (plane figures),
  4. khāta (excavation),
  5. citi (stock),
  6. krākacika (saw),
  7. rāśi (mound),
  8. chāyā (shadow).
Ganitashastra book cover
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.

Discover the meaning of patiganita in the context of Ganitashastra from relevant books on Exotic India

Languages of India and abroad

Marathi-English dictionary

[«previous next»] — Patiganita in Marathi glossary
Source: DDSA: The Molesworth Marathi and English Dictionary

pāṭīgaṇita (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.

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Sanskrit dictionary

[«previous next»] — Patiganita in Sanskrit glossary
Source: DDSA: The practical Sanskrit-English dictionary

Pāṭīgaṇita (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).

Source: Cologne Digital Sanskrit Dictionaries: Aufrecht Catalogus Catalogorum

Pāṭīgaṇita (पाटीगणित) as mentioned in Aufrecht’s Catalogus Catalogorum:—by Śrīdhara.
—[commentary] Stein 165.

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

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

[Sanskrit to German]

Patiganita 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.

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