Taccheda, Tat-cheda: 1 definition

Introduction:

Taccheda 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.

Alternative spellings of this word include Tachchheda.

In Hinduism

Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Taccheda (तच्छेद) refers to a “fraction with that for denominator”, in ancient Indian mathematics (gaṇita-śāstra).—[Zero in Algebra]:—In the bījagaṇita, the same results are given with the addition that if a quantity is subtracted from zero, its sign is reversed, while in the case of addition the sign remains the same.

The earliest treatment of zero in algebra is found in the Brāhmasphuṭasiddhānta by Brahmagupta:—“[...] Cipher, divided by cipher is nought .... Positive or negative divided by cipher is taccheda (a fraction with that for denominator), or cipher divided by negative or affirmative (is either zero or is expressed by a fraction with zero as numerator and the finite quantity as denominator) [...]”.

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.

Discover the meaning of taccheda in the context of Ganitashastra from relevant books on Exotic India

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