Kuttaka, Kuṭṭaka, Kuṭṭāka: 13 definitions

Introduction:

Kuttaka means something in Hinduism, Sanskrit, Buddhism, Pali. 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

1) Kuṭṭaka (कुट्टक) or Kuṭṭakagaṇita is another name for Bījagaṇita (“algebra” or ‘science of calculation’), according to Gaṇita-śāstra, ancient Indian mathematics and astronomy.—The Hindu name for the science of algebra is bījagaṇita. Bīja means “element” or “analysis” and gaṇita “the science of calculation”. Thus bījagaṇita literally means “the science of calculation with elements” or “the science of analytical calculation”. Brahmagupta (628) calls algebra kuṭṭaka-gaṇita, or simply kuṭṭaka. [...]

2) Kuṭṭaka (कुट्टक) or “breaking” refers to “indeterminate analysis of the first degree”, according to the principles of Bījagaṇita (“algebra” or ‘science of calculation’), according to Gaṇita-śāstra, ancient Indian mathematics and astronomy.—The subject of indeterminate analysis of the first degree is generally called by the Hindus kuṭṭaka, kuṭṭākāra, kuṭṭīkāra or simply kuṭṭa. The names kuṭṭākāra and kuṭṭa occur as early as the Mahābhāskarīya of Bhāskara I (522). In the commentary of the Āryabhaṭīya by this writer we find the terms kuṭṭaka and kuṭṭākāra. Brahmagupta has used kuṭṭaka, kuṭṭākāra, and kuṭṭa. Mahāvīra, it appears, had a preferential liking for the name kuṭṭīkāra.

Gaṇeśa in his commentary on the Līlāvatī of Bhāskara II: “Kuṭṭaka is a term for the multiplier, for multiplication is admittedly called by words importing ‘injuring’, ‘killing’. A certain given number being multiplied by another (unknown quantity), added or subtracted by a given interpolator and then divided by a given divisor leaves no remainder; that multiplier is the kuṭṭaka: so it has been said by the ancients. This is a special technical term”.

The same explanation as to the origin of the name kuṭṭaka has been offered by Sūryadāsa (1538), Kṛṣṇa (c. 1580) and Raṅganātha (1602).

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.

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Nirukta (Sanskrit etymology)

Source: archive.org: Hindu Mathematics (etymology)

Kuṭṭaka (कुट्टक) [as well as kuṭṭa, kuṭṭākāra and kuṭṭīkāra] are all derived from the root kuṭṭ “to crush”, “to grind”, “to pulverise” and hence etymologically they mean the act or process of “breaking”, “grinding”, “pulverising” as well as an instrument for that, that is, “grinder”, “pulveriser”.

context information

Nirukta (निरुक्त) or “etymology” refers to the linguistic analysis of the Sanskrit language. This branch studies the interpretation of common and ancient words and explains them in their proper context. Nirukta is one of the six additional sciences (vedanga) to be studied along with the Vedas.

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Languages of India and abroad

Pali-English dictionary

[«previous next»] — Kuttaka in Pali glossary
Source: BuddhaSasana: Concise Pali-English Dictionary

kuttaka : (nt.) a carpet big enough for 12 women to dance on.

Source: Sutta: The Pali Text Society's Pali-English Dictionary

Kuttaka, (der. fr. kutta, that which is made up or “woven, ” with orig. meaning of karoti to weave?) 1. nt. a woollen carpet (DA. I, 87=as used for dancing-women), together with kaṭṭhissa and koseyya in list of forbidden articles of bedding D. I, 7=A. I, 181=Vin. I, 192=II. 163.—2. adj. “made up, ” pretending, in samaṇa-k° a sham ascetic Vin. III, 68—71. (Page 220)

Pali book cover
context information

Pali is the language of the Tipiṭaka, which is the sacred canon of Theravāda Buddhism and contains much of the Buddha’s speech. Closeley related to Sanskrit, both languages are used interchangeably between religions.

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Sanskrit dictionary

Source: DDSA: The practical Sanskrit-English dictionary

Kuṭṭaka (कुट्टक).—

1) A grinder.

2) A kingfisher.

3) A multiplier.

Derivable forms: kuṭṭakaḥ (कुट्टकः).

--- OR ---

Kuṭṭāka (कुट्टाक).—a. (-ki f.) Who or what divides or cuts; सारङ्गसंगरविधाविभकुम्भकूटाकुट्टाकपाणिकुलिशस्य हरेः प्रमादः (sāraṅgasaṃgaravidhāvibhakumbhakūṭākuṭṭākapāṇikuliśasya hareḥ pramādaḥ) Māl. 5.32.

Source: Cologne Digital Sanskrit Dictionaries: Shabda-Sagara Sanskrit-English Dictionary

Kuṭṭaka (कुट्टक).—mfn.

(-kaḥ-kā-kaṃ) 1. What cuts. 2. What pounds or grinds. m.

(-kaḥ) 1. A power in arithmetic or algebra, a quantity such, that a given number being multiplied by it, and the product added to a given quantity, the sum may be divisible without remainder by a given divisor. 2. A kingfisher. E. kuṭṭ to pound, vun aff.

--- OR ---

Kuṭṭāka (कुट्टाक).—mfn.

(-kaḥ-kī-kaṃ) What cuts or divides. E. kuṭṭ to cut, ṣākan aff.

Source: Cologne Digital Sanskrit Dictionaries: Benfey Sanskrit-English Dictionary

Kuṭṭaka (कुट्टक).—[kuṭṭa + ka], 1. adj. = kuṭṭa 1. [Yājñavalkya, (ed. Stenzler.)] 3, 49. 2. = kuṭṭa 2.

Source: Cologne Digital Sanskrit Dictionaries: Cappeller Sanskrit-English Dictionary

Kuṭṭaka (कुट्टक).—[adjective] sqashing, stamping, crushing, hammering.

--- OR ---

Kuṭṭāka (कुट्टाक).—[adjective] tearing, lacerating (—°).

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

1) Kuṭṭaka (कुट्टक):—[from kuṭṭ] mfn. ifc. cutting, breaking, bruising, grinding, etc. cf. aśma-k, ikṣu-k

2) [v.s. ...] m. a grinder, pulveriser

3) [v.s. ...] a multiplier (= kuṭṭa q.v.)

4) [v.s. ...] a buck-goat with particular marks, [Varāha-mihira’s Bṛhat-saṃhitā]

5) [v.s. ...] a kingfisher, [Horace H. Wilson]

6) Kuṭṭāka (कुट्टाक):—[from kuṭṭ] mf(ī[Pāṇini 3-2, 155])n. ifc. cutting, breaking, splitting, [Mālatīmādhava]

Source: Cologne Digital Sanskrit Dictionaries: Yates Sanskrit-English Dictionary

1) Kuṭṭaka (कुट्टक):—[(kaḥ-kā-kaṃ) a.] Cutting. m. A given number; a king-fisher.

2) Kuṭṭāka (कुट्टाक):—[(kaḥ-kī-kaṃ) a.] Cutting.

[Sanskrit to German]

Kuttaka 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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Kannada-English dictionary

Source: Alar: Kannada-English corpus

Kuṭṭaka (ಕುಟ್ಟಕ):—

1) [noun] (arith.) the number that is to be multiplied by another.

2) [noun] a mathematical system using symbols, esp. letters, to generalise certain arithmetical operations and relationships; algebra.

3) [noun] the act of powdering; pulverisation.

4) [noun] one who pulverises.

context information

Kannada is a Dravidian language (as opposed to the Indo-European language family) mainly spoken in the southwestern region of India.

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