The Sanskrit term Prakṣepaka can be transliterated into English as Praksepaka or Prakshepaka, using the IAST transliteration scheme (?).

In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

1) Prakṣepaka (प्रक्षेपक) is another name for Kuṭṭīkāra or Kuṭṭaka (“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.—Mahāvīra has once stated that, according to the learned, kuṭṭīkāra is another name for “the operation of prakṣepaka (lit., throwing, scattering, implying division into parts). In fact, his writing led his translator to interpret kuṭṭīkāra as “proportionate division”, “a special kind of division or distribution”.

2) Prakṣepaka (प्रक्षेपक) or Prakṣepa refers to the “interpolator”, according to the principles of Bījagaṇita.—According to Pṛthūdakasvāmī (860) in his commentary on the Brāhmasphuṭasiddhānta by Brahmagupta (628): “An optionally chosen number is taken as the lesser root (hrasvamūla). That number, positive or negative, which being added to or subtracted from its square multiplied by the prakṛti (multiplier) gives a result yielding a square-root, is called the interpolator (kṣepaka). And this (resulting) root is called the greater root (jyeṣṭhamūla)”. The interpolator is called by Brahmagupta kṣepa, prakṣepa or prakṣepaka. Śrīpati occasionally employs the synonym kṣipti. When negative, the interpolator is sometimes distinguished as ‘the subtractive’ (śodhaka). The positive interpolator is then called ‘the additive’.

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

1) Prakṣepaka (प्रक्षेपक):—[=pra-kṣepa-ka] [from pra-kṣepa > pra-kṣip] a m., the sum deposited by each member of a commercial company, [Līlāvatī of bhāskara]

2) [=pra-kṣepaka] [from pra-kṣip] b m. See kṣepa.

[Sanskrit to German]

Prakshepaka 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.

Kannada-English dictionary

Source: Alar: Kannada-English corpus

Prakṣēpaka (ಪ್ರಕ್ಷೇಪಕ):—

1) [noun] he who throws, hurls; a man who projects (something).

2) [noun] a man who keeps something in a particular place or position.

3) [noun] a man who interpolates a portion into the literary work of another (usu. at a later stage).

4) [noun] the part of a telephone, behind or including the mouthpiece, that converts speech sound into electric impulses and transmits; a transmitter.

context information

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

See also (Relevant definitions)

Partial matches: Kshepaka, Prakshepa, Pra, Ka.

Starts with: Prakshepakara.

Full-text: Prakshepakara, Prakshepak, Prakshepa, Kshipti, Kshepaka, Sodhaka, Kshepa, Kuttikara, Tatas.

Relevant text

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