Vargaprakriti, 痴补谤驳补辫谤补办峁泃颈, Varga-prakriti: 4 definitions
Introduction:
Vargaprakriti means something in Hinduism, Sanskrit. 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.
The Sanskrit term 痴补谤驳补辫谤补办峁泃颈 can be transliterated into English as Vargaprakrti or Vargaprakriti, using the IAST transliteration scheme (?).
In Hinduism
Ganitashastra (Mathematics and Algebra)
: archive.org: Hindu Mathematics痴补谤驳补辫谤补办峁泃颈 (啶掂ぐ啷嵿啶啶班啷冟い啶�) refers to the 鈥渟quare-nature鈥�, according to the principles of B墨jaga峁噄ta (鈥渁lgebra鈥� or 鈥榮cience of calculation鈥�), according to Ga峁噄ta-艣膩stra, ancient Indian mathematics and astronomy.鈥擳he indeterminate quadratic equation [Nx2 卤 c = y2], is called by the Hindus 惫补谤驳补辫谤补办峁泃颈 or 办峁泃颈辫谤补办峁泃颈, meaning the 鈥渟quare-nature鈥� Bh膩skara II (1150) states that the absolute number should be 谤奴辫补, which means 鈥渦nity鈥� as well as 鈥渁bsolute number鈥� in general. [...] It was recognised that the most fundamental equation of this class is [Nx2 + 1 = y2] where N is a non-square integer.
Kamal膩kara (1658) in the Siddh膩ntatattvaviveka: 鈥淗eat first the nature of the 惫补谤驳补辫谤补办峁泃颈: in it the square (of a certain number) multiplied by a multiplier and then increased or diminished by an interpolator becomes capable of yielding a square-root鈥�.
K峁涐梗峁嘺 (1580) in his commentary on the B墨jaga峁噄ta of Bh膩skara II: 鈥淭hat in which the varga (square) is the 辫谤补办峁泃颈 (nature) is called the 惫补谤驳补辫谤补办峁泃颈; for the square of 测腻惫补迟, etc., is the 辫谤补办峁泃颈 (origin) of this (branch of) mathematics. because this (branch of) mathematics has originated from the number which is the 辫谤补办峁泃颈 of the square of 测腻惫补迟, etc., so it is called the 惫补谤驳补辫谤补办峁泃颈. In this case the number which is the multiplier of the square 测腻惫补迟, etc., is denoted by the term 辫谤补办峁泃颈. (In other words) it is the coefficient of the square of the unknown鈥�.
We presume that the name 惫补谤驳补辫谤补办峁泃颈 originated from the following consideration: The principle (辫谤补办峁泃颈) underlying the calculations in this branch of mathematics is to determine a number (or numbers) whose nature (辫谤补办峁泃颈) is such that its (or their) square (or squares, varga) or the simple number (or numbers) after certain specified operations will yield another number (or numbers) of the nature of a square. So the name is, indeed, very significant. This interpretation seems to have been intended, at any rate, by the earlier writers who used the term in a wider sense. It is perhaps noteworthy that we do not find in the works of Brahmagupta the use of the word 辫谤补办峁泃颈 either in the sense of N or of x2.
Ganita (啶椸ぃ啶苦い) 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
Sanskrit dictionary
: DDSA: The practical Sanskrit-English dictionary痴补谤驳补辫谤补办峁泃颈 (啶掂ぐ啷嵿啶啶班啷冟い啶�).鈥�f. an affected square.
Derivable forms: 惫补谤驳补辫谤补办峁泃颈岣� (啶掂ぐ啷嵿啶啶班啷冟い啶苦).
痴补谤驳补辫谤补办峁泃颈 is a Sanskrit compound consisting of the terms varga and 辫谤补办峁泃颈 (啶啶班啷冟い啶�).
: Cologne Digital Sanskrit Dictionaries: Monier-Williams Sanskrit-English Dictionary痴补谤驳补辫谤补办峁泃颈 (啶掂ぐ啷嵿啶啶班啷冟い啶�):鈥擺=varga-辫谤补办峁泃颈] [from varga] f. (in [arithmetic]) an affected square, [Colebrooke]
[Sanskrit to German]
Sanskrit, also spelled 啶膏啶膏啶曕啶むぎ啷� (蝉补峁僺办峁泃补尘), 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)
Partial matches: Varga, Prakriti.
Full-text: Kritiprakriti, Prakriti.
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