Samkalita, Saṅkalita, Saṃkalita, Sankalita: 14 definitions
Introduction:
Samkalita means something in Hinduism, Sanskrit, Marathi, Hindi. 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.
Alternative spellings of this word include Sankalit.
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In Hinduism
Ganitashastra (Mathematics and Algebra)
Saṅkalitā (सङ्कलिता) refers to a “series” (e.g., Guṇottara-Saṅkalitā —“multiplicative series”).—Indian mathematicians long knew about finite geometric series, which they called guṇottara-saṅkalitā or guṇottara-śreḍhī (multiplicative series), and methods of summing the finite geometric series were a part of the elementary school curriculum from at least 1,300 years ago and are found in numerous elementary texts such as the Pāṭigaṇita of Śrīdhara. Indeed, summing a finite multiplicative series was a very common commercial problem found in a variety of other sources such as the Gaṇitasāra-Saṃgraha of Mahāvīra, Mahā Siddhānta of Ᾱryabhaṭa II, the Līlāvatī of Bhaskara II, etc. (Cf. rule 126 et. seq; the numbering differs between Colebrooke, 1816 and the critical edition of Sarma, 1975).
Saṃkalita (संकलित, “addition”) refers to one of the twenty operations (logistics) of pāṭīgaṇita (“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.—The Hindu name for addition is saṃkalita (‘made together’). Other equivalent terms commonly used are saṃkalana (making together), miśraṇa (mixing), saṃmelana (mingling together), prakṣepaṇa (throwing together), saṃyojana (joining together), ekīkaraṇa (making into one), yukti, yoga (addition) and abhyāsa, etc. The word saṃkalita has been used by some writers in the general sense of the sum of a series.
Saṃkalita is of two kinds, according to Bhāskara II in the Līlāvatī:
- Direct process (krama) [i.e., beginning from the units place],
- Inverse process (utkrama) [i.e., beginning from the last place on the left].
Saṅkalita (सङ्कलित) refers to the “summation of series”, and represents a technical term occurring in the Gaṇitasāra-saṅgraha—an ancient Sanskrit text dealing with ancient Indian algebra and mathematical problems written by Mahāvīra (Mahāvīrācārya) in the 9th century.
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
Saṅkalita (सङ्कलित).—p (S) Added up. 2 Mixed, mingled, blended. 3 Heaped together. 4 Compressed or condensed--a writing, a composition, discourse, speech.
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saṅkaḷīta (संकळीत).—p (Properly saṅkalita) corruptly saṅkaḷīka a Compressed or condensed--a book, speech &c.: also as ad compressedly, compendiously, by way of summary or epitome. Ex. tēṃ saṃ0 sāṅgatōṃ yathā- mati || sādara śrōtīṃ parisījē ||.
Saṅkalita (सङ्कलित).—p Added up. Mixed, blended. Compressed or condensed–a writing or composition.
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saṅkaḷīta (संकळीत).—(Properly saṅkalita.) p Compress- ed or condensed.
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
Saṃkalita (संकलित).—p. p.
1) Heaped up. piled up, collected.
2) Blended together, intermixed.
3) Seized, laid hold of.
4) Added.
5) Resumed, regained; Māl,3.
-tā (In arith.) The first sum.
-tam Addition.
Saṅkalita (सङ्कलित).—mfn.
(-taḥ-tā-taṃ) 1. Heaped, piled, arranged. 2. Brought in contact, blended, intermixed. 3. Laid hold of. 4. Added. n.
(-taṃ) Addition, (in arithmetic.) E. sam before kal to number, aff. kta .
1) Saṃkalita (संकलित):—[=saṃ-kalita] [from saṃ-kal] mfn. heaped together, accumulated etc.
2) [v.s. ...] added, [Līlāvatī of bhāskara]
3) [v.s. ...] blended, intermixed, [Horace H. Wilson]
4) [v.s. ...] laid hold of, grasped, [Monier-Williams’ Sanskrit-English Dictionary]
5) Saṃkalitā (संकलिता):—[=saṃ-kalitā] [from saṃ-kalita > saṃ-kal] f. (in [arithmetic]) the first sum in a progression, [Colebrooke]
6) Saṃkalita (संकलित):—[=saṃ-kalita] [from saṃ-kal] n. addition, [Līlāvatī of bhāskara]
Saṅkalita (सङ्कलित):—(taṃ) 1. n. Addition. a. Heaped; blended; added.
Saṃkalita (संकलित):—(von 2. kal mit sam) adj. zusammengezählt, addirt gaṇa iṣṭādi zu [Pāṇini’s acht Bücher 5, 2, 88.] [WEBER, Jyotiṣa 47.] n. Addition [Algebra 5.] f. ā the first sum, or addition of arithmeticals 51. saṃkalitaikya n. aggregate of additions, summed sums or second sum ebend.
Saṃkalita (संकलित) in the Sanskrit language is related to the Prakrit word: Saṃkalia.
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.
Hindi dictionary
Saṃkalita (संकलित) [Also spelled sankalit]:—(a) compiled, collected; amassed, assembled.
...
Kannada-English dictionary
Saṃkalita (ಸಂಕಲಿತ):—
1) [adjective] collected, complied (different things from different places, sources, etc.).
2) [adjective] mixed, blended together.
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Saṃkalita (ಸಂಕಲಿತ):—[noun] things collected or compiled together (from different places, sources); a compilation.
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Saṃkaḷita (ಸಂಕಳಿತ):—[adjective] = ಸಂಕಲಿತ [samkalita]1.
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Saṃkaḷita (ಸಂಕಳಿತ):—[noun] = ಸಂಕಲಿತ [samkalita]2.
Kannada is a Dravidian language (as opposed to the Indo-European language family) mainly spoken in the southwestern region of India.
Nepali dictionary
Saṅkalita (सङ्कलित):—adj. 1. collected together; assembled; 2. compiled; anthologized; selected;
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 (+0): Kalita, Sam, Cam.
Starts with (+0): Samkalitaikya, Samkalitajvara.
Full-text (+14): Bhinnasamkalita, Bhinnasankalita, Samkalitaikya, Gunasamkalita, Pratyasamkalita, Samkalitin, Sankalit, Pratyasankalita, Samkalitajvara, Yoga, Yukti, Mishrana, Abbhasa, Ekikarana, Prakshepana, Sammelana, Kanacankalitam, Avirbhava, Samyojana, Samkalana.
Relevant text
Search found 18 books and stories containing Samkalita, Sam-kalita, Saṃ-kalitā, Saṃ-kalita, Saṃkalita, Saṃkaḷita, Saṃkalitā, Saṃkalita, Saṅ-kalitā, Saṅkalita, Sankaḷita, Saṅkalitā, Saṅkaḷita, Saṅkalīta, Saṅkaḷīta, Sankalita; (plurals include: Samkalitas, kalitas, kalitās, Saṃkalitas, Saṃkaḷitas, Saṃkalitās, Saṅkalitas, Sankaḷitas, Saṅkalitās, Saṅkaḷitas, Saṅkalītas, Saṅkaḷītas, Sankalitas). You can also click to the full overview containing English textual excerpts. Below are direct links for the most relevant articles:
Ganita-sara-sangraha by Mahavira-Acharya (by M. Rangacharya)
Chapter 2 - Prathamah parikarmavyavaharah < [Part 2 - Sanskrit text]
Chapter 1 - Samjnadhikarah < [Part 2 - Sanskrit text]
Chapter 3 - Dvitiyah kalasavarnavyavaharah < [Part 2 - Sanskrit text]
Dictionaries of Indian languages (Kosha)
Page 183 < [Hindi-Gujarati-English Volume 3]
Page 182 < [Hindi-Bengali-English Volume 3]
Page 357 < [Hindi-English-Nepali (1 volume)]
History of Science in South Asia
Content and Context of Kaṇakkatikāram Manuscripts < [Vol. 12 (2024)]
Garga and Early Astral Science in India < [Vol. 5 No. 1 (2017)]
Ganitatilaka (Sanskrit text and English introduction) (by H. R. Kapadia)
Page 78 < [Sanskrit Text of the Ganitatilaka]
Page 84 < [Sanskrit Text of the Ganitatilaka]
Part 23 - Outlines of Ganitatilaka < [Introduction]
Notices of Sanskrit Manuscripts (by Rajendralala Mitra)
Brahmasphutasiddhanta by Brahmagupta (Introduction) (by Acharyavara Ram Swarup Sharma)
Part 3 - Operations and Determinations in Patiganita < [Chapter 9 - Brahmagupta and Arithmetic]
Part 4 - Algebraic Operations (in ancient Indian Mathematics) < [Chapter 10 - Brahmagupta as an Algebraist]