Patiganita, Pati-ganita, Pāṭīgaṇita: 8 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).
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.
Languages of India and abroad
Marathi-English dictionary
Source: DDSA: The Molesworth Marathi and English Dictionarypāṭīgaṇita (पाटीगणित).—n S (Board-reckoning.) Arithmetic.
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).
Source: Cologne Digital Sanskrit Dictionaries: Aufrecht Catalogus CatalogorumPāṭīgaṇita (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]
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.
Nepali dictionary
Source: unoes: Nepali-English DictionaryPāṭīgaṇita (पाटीगणित):—n. 1. mathematics; 2. math's practiced in slate;
Nepali is the primary language of the Nepalese people counting almost 20 million native speakers. The country of Nepal is situated in the Himalaya mountain range to the north of India.
See also (Relevant definitions)
Partial matches: Ganita, Paati, Pati.
Starts with: Patiganitatika.
Full-text (+155): Patiganitatika, Ganita, Dhulikarma, Patiganit, Pati, Vyakta, Avyakta, Madhyanka, Pratibhanda, Bhanda, Pratiloma, Ghanapada, Shridhara, Bhandapratibhanda, Viyoga, Vyutkalana, Vyaktaganita, Vyutkalita, Avyaktaganita, Bhagapavaha.
Relevant text
Search found 5 books and stories containing Patiganita, Pati-ganita, Pāṭī-gaṇita, Pāṭīgaṇita; (plurals include: Patiganitas, ganitas, gaṇitas, Pāṭīgaṇitas). You can also click to the full overview containing English textual excerpts. Below are direct links for the most relevant articles:
Studies in Indian Literary History (by P. K. God)
58. References to a lost Work on the Patiganita of Shridharacarya < [Volume 1 (1945)]
Subject-Index (of first volume) < [Volume 1 (1945)]
Index (of first volume) < [Volume 1 (1945)]
Notices of Sanskrit Manuscripts (by Rajendralala Mitra)
Tilakamanjari of Dhanapala (study) (by Shri N. M. Kansara)
13. Dhanapala’s Namesakes < [Chapter 1 - The Author (biography of Dhanapala)]
Ganitatilaka (Sanskrit text and English introduction) (by H. R. Kapadia)
Page 185 < [Sanskrit Text of the Ganitatilaka]
Part 29 - Works referred to in Ganitatilaka-vritti < [Introduction]
Part 27 - Sripati’s life and works < [Introduction]
Significance of the Moon in Ancient Civilizations (by Radhakrishnan. P)
2. Upanishad Shantimatra and Result of Karma < [Chapter 4 - Contemporary Astrological Viewpoint and Moon]