In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Anupāta (अनुपात) refers to “proportion” in the Trairāśika (“rule of three”), which represents 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.

According to Bhaskara I (c. 525) in his commentary on the Āryabhaṭīya: “Here Ācārya Āryabhaṭa has described the Rule of Three (trairāśika) only. How the well-known Rules of Five, etc. are to be obtained? I say thus: The Ācārya has described only the fundamentals of anupāta (proportion). All others such as the Rule of Five, etc., follow from that fundamental rule of proportion. How? The Rule of Five, etc., consist of combinations of the Rule of Three .... In the Rule of Five there are two Rules of Three, in the Rule of Seven, three Rules of Three, and so on. This I shall point out in the examples”.

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

Pali-English dictionary

Source: BuddhaSasana: Concise Pali-English Dictionary

anupāta : (m.) attack in speech.

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

Anupāta, (of anupatati) attack in speech, contest, reproach A.I, 161 (vāda°). (Page 39)

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.

Marathi-English dictionary

Source: DDSA: The Molesworth Marathi and English Dictionary

anupāta (अनुपात).—m S In arithmetic. Proportion, the rule of three.

Source: DDSA: The Aryabhusan school dictionary, Marathi-English

anupata (अनुपत).—f Adversity, want.

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 dictionary

Anupāta (अनुपात).—see under अनुपत् (anupat).

See also (synonyms): anupātin.

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Anupāta (अनुपात).—

1) Falling upon, alighting upon in succession.

2) Following, going after, pursuit; उपवनपवनानुपातदक्षैः (upavanapavanānupātadakṣaiḥ) Śiśupālavadha 7.27.

3) Going or proceeding in order or as a consequence.

4) [anurūpaḥ trairāśikena pātaḥ] Proportion.

5) Rule of three.

6) A degree of latitude, opposite to one given.

-tam ind. (regarded as ending in ṇamul from pat) Following in succession, going after; लतानुपातं कुसुमान्यगृह्णात् (latānupātaṃ kusumānyagṛhṇāt) Bhaṭṭikāvya 2.11 (latāṃ latāmamupātya going to creeper after creeper, or after bending the creepers.)

See also (synonyms): anupātas.

Source: Cologne Digital Sanskrit Dictionaries: Edgerton Buddhist Hybrid Sanskrit Dictionary

Anupāṭa (अनुपाट).—(m.?; compare next; no [compound] of anu-paṭ is recorded), presumably rending or the like, one of the torments of hell, in composition with utpāṭa: Divyāvadāna 301.26.

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Anupāta (अनुपात).—m., perhaps trimming around the edge (of the border of a monk's robe): Mūla-Sarvāstivāda-Vinaya ii.51.2, 3 (Tibetan mthaḥ skor, circumference).

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

Anupāta (अनुपात).—m.

(-taḥ) 1. Falling subsequently upon, alighting or descending upon in succession. 2. Going, preceeding. 3. Following. 4. A degree of latitude opposite to one given, the antœci. 5. Proportion, (in arithmetic.) 6. Arithmetical progression. E. anu, and pāta falling, &c.

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

1) Anupāta (अनुपात):—[=anu-pāta] [from anu-pat] a See sub voce

2) Anupāṭa (अनुपाट):—[=anu-pāṭa] m. splitting or cutting down (a kind of torture), [Divyāvadāna]

3) Anupāta (अनुपात):—[=anu-pāta] b m. falling subsequently upon, alighting or descending upon in succession

4) [v.s. ...] following

5) [v.s. ...] going, proceeding in order, or as a consequence

6) [v.s. ...] a degree of latitude opposite to one given, the Antaeci (?)

7) [v.s. ...] proportion (in [arithmetic])

8) [v.s. ...] arithmetical progression, rule of three.

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

Anupāta (अनुपात):—[tatpurusha compound] m.

(-taḥ) 1) Falling subsequently upon, alight-ing or descending upon in succession.

2) Following.

3) (In arithmetic.) Proportion, the rule of three. E. anu and pāta or pat with anu, kṛt aff. ṇa.

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

Anupāta (अनुपात):—[anu-pāta] (taḥ) 1. m. Proceeding; a degree of latitude; proportion.

Source: DDSA: Paia-sadda-mahannavo; a comprehensive Prakrit Hindi dictionary (S)

Anupāta (अनुपात) in the Sanskrit language is related to the Prakrit word: Aṇuvāya.

[Sanskrit to German]

Anupata 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.

Hindi dictionary

Source: DDSA: A practical Hindi-English dictionary

Anupāta (अनुपात) [Also spelled anupat]:—(nm) proportion; ~[pātī] proportional.

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Kannada-English dictionary

Source: Alar: Kannada-English corpus

Anupāta (ಅನುಪಾತ):—

1) [noun] act of going behind other; following.

2) [noun] a result of an action, process, etc.; outcome; effect; consequence.

3) [noun] (math.) the relation of one part to the other or to the whole with respect to magnitude, quantity or degree; ratio; proportion.

context information

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

Nepali dictionary

Source: unoes: Nepali-English Dictionary

Anupāta (अनुपात):—n. proportion; ratio;

context information

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: Anu, Pata.

Starts with: Anupataka, Anupatam, Anupatana, Anupatati.

Ends with: Ekamtaranupata, Rupanupata, Samantanupata, Samanupata, Shabdanupata, Upavarganupata.

Full-text: Anupatam, Anupatin, Anupat, Anupataka, Anuvaya, Pratishata, Anupapatti, Pratilom, Pratiloma, Grihadhipa, Grihesha, Griheshvara, Anupatati, Deshavirati, Anuprapatam, Anupatana, Shabdanupata, Nipata, Rupanupata.

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