Katapayadi, Kaṭapayādi, Katapa-yadi: 2 definitions

Introduction:

Katapayadi 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.

In Hinduism

Jyotisha (astronomy and astrology)

[«previous next»] — Katapayadi in Jyotisha glossary
Source: Wikibooks (hi): Sanskrit Technical Terms

Kaṭapayādi (कटपयादि).—An alphanumeric notational system for verbally representing numerals. Note: Kaṭapa-yādi is a Sanskrit technical term used in ancient Indian sciences such as Astronomy, Mathematics and Geometry.

Jyotisha book cover
context information

Jyotisha (ज्योतिष, jyotiṣa or jyotish) refers to ‘astronomy’ or “Vedic astrology” and represents the fifth of the six Vedangas (additional sciences to be studied along with the Vedas). Jyotisha concerns itself with the study and prediction of the movements of celestial bodies, in order to calculate the auspicious time for rituals and ceremonies.

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Ganitashastra (Mathematics and Algebra)

Source: archive.org: Hindu Mathematics

Kaṭapayādi (कटपयादि) is the name of an alphabetic notation system (i.e., using the letters of the alphabet to denote numbers), which was used in Sanskrit texts mathematics, metrics, as well as in the dates of inscriptions and manuscripts in ancient Indian literature.—The Kaṭapayādi system. In this system the consonants of the Sanskrit alphabet have been used in the place of the numbers 1-9 and zero to express numbers. The conjoint vowels used in the formation of number chronograms, have no numerical significance. It gives brief chronograms, which are generally pleasant sounding words. Skilled writers have been able to coin chronograms which have connected meanings. It is superior to that of Āryabhaṭa I, and also to the word system. Four variants of this system are known to have been used in India. It is probably due to this non-uniformity of notation that the system did not come into general use.

The origin of [the first variant] of the Kaṭapayādi system can be traced back to the fifth century A.D. From a remark made by Sūryadeva in his commentary on the Āryabhaṭīya, it appears that the system was known to Āryabhaṭa I (499). Its first occurrence known to us is found in the Laghu-Bhāskarīya of Bhāskara I (522).

Ganitashastra book cover
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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.

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