Alternative spellings of this word include Nichchheda.

In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Niccheda (निच्छेद) refers to “having no divisor”, according to the principles of Bījagaṇita (“algebra” or ‘science of calculation’), according to Gaṇita-śāstra, ancient Indian mathematics and astronomy.—[Preliminary Operations]:—It has been remarked by most of the writers that in order that an equation of the form [by - ax = ±c or by + ax = ±c] may be solvable, the two numbers a and b must not have a common divisor; for, otherwise, the equation would be absurd, unless the number c had the same common divisor. So before the rules adumbrated hereafter can be applied, the numbers a, b, c must be made prime (dṛḍha=firm, niccheda=having no divisor, nirapavarta=irreducible) to each other.

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

Sanskrit dictionary

Source: DDSA: The practical Sanskrit-English dictionary

Niccheda (निच्छेद).—

1) Cutting off.

2) (In arith.) Leaving no common measure, reducing by the common divisor, to the least term, so as to be capable of no further reduction.

Derivable forms: nicchedaḥ (निच्छेदः).

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

Niccheda (निच्छेद).—m.

(-daḥ) 1. Cutting off. 2. Leaving no common measure. (In Arithmetic.) E. ni, and cheda cutting.

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

Niccheda (निच्छेद):—[wrong reading] for nis-ch q.v.

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

Niccheda (निच्छेद):—(daḥ) 1. m. Cutting off.

[Sanskrit to German]

Niccheda 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.

See also (Relevant definitions)

Full-text: Nikcheda, Dridha, Dridhakuttaka, Sthirakuttaka, Nirapavarta, Sthira.

Relevant text

Search found 1 books and stories containing Niccheda; (plurals include: Nicchedas). You can also click to the full overview containing English textual excerpts. Below are direct links for the most relevant articles:

Jivanandana of Anandaraya Makhin (Study) (by G. D. Jayalakshmi)

Analysis of Goddess Parameśvarī < [Chapter 6 - Dramatic aspects of the Jīvanandana Nāṭaka]

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