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Significance of Koti

Koti is a versatile term with various meanings across different philosophical and mathematical contexts. In Jainism, it denotes a category for classification. In Vaishnavism, it signifies millions, highlighting grandeur. The Purana associates Koti with a sacred tirtha for merit. Dharmashastra uses it to refer to goats in dietary guidelines, while Mahayana employs it to describe vast numbers. Additionally, in Indian mathematics, Koti represents the cosine in trigonometric calculations, showcasing its significance in both spiritual and numerical realms.1
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Synonyms: Home, House, Residence, Dwelling, Abode

In Dutch: Koti; In German: Koti; In Finnish: Koti; In Spanish: Coti

The below excerpts are indicatory and do represent direct quotations or translations. It is your responsibility to fact check each reference.

Buddhist concept of 'Koti'

Buddhism Books

In Buddhism, the term "Koti" signifies vast numbers, commonly employed in texts to denote immense quantities, reflecting the concept of boundlessness and the infinite nature of certain teachings and phenomena.

Significance in Mahayana (major branch of Buddhism):
Mahayana Books

From: Lotus Sutra (Saddharma-Pundarika)

(1) A term indicating vast numbers, often used in Buddhist texts to refer to immense quantities.[1]

Mahayana is a major branch of Buddhism focusing on the path of a Bodhisattva (spiritual aspirants/ enlightened beings). Extant literature is vast and primarely composed in the Sanskrit language. There are many sutras of which some of the earliest are the various Prajnaparamita sutras.

Hindu concept of 'Koti'

Hinduism Books

In Hinduism, Koti signifies the concept of millions, describes goats in relation to milk consumption restrictions, and denotes a tirtha where bathing grants merit comparable to Pundarika sacrifices, enhancing one's lineage.

Significance in Vaishnavism (Vaishava dharma):
Vaishnavism Books

From: Garga Samhita (English)

(1) A term meaning millions, emphasizing the grandeur and multitude in the decorative elements described.[2]

Vaishnava or vaishnavism (vaishnavism) represents a tradition of Hinduism worshipping Vishnu as the supreme Lord. Similar to the Shaktism and Shaivism traditions, Vaishnavism also developed as an individual movement, famous for its exposition of the dashavatara (鈥榯en avatars of Vishnu鈥�).

Significance in Purana and Itihasa (epic history):
Purana Books

From: Mahabharata (English)

(1) A tirtha where bathing bestows merit akin to the Pundarika sacrifice and aids in elevating one's lineage.[3]

The Purana refers to Sanskrit literature preserving ancient India鈥檚 vast cultural history, including historical legends, religious ceremonies, various arts and sciences. The eighteen mahapuranas total over 400,000 shlokas (metrical couplets) and date to at least several centuries BCE.

Significance in Dharmashastra (religious law):
Dharmashastra Books

From: Manusmriti with the Commentary of Medhatithi

(1) An alternative term used to reference goats in the context of milk, also part of the restrictions on what may be consumed.[4]

Dharmashastra contains the instructions (shastra) regarding religious conduct of livelihood (dharma), ceremonies, jurisprudence (study of law) and more. It is categorized as smriti, an important and authoritative selection of books dealing with the Hindu lifestyle.

Jain concept of 'Koti'

Jainism Books

In Jainism, Koti is interpreted as a feminine noun representing categories, indicating the importance of classification systems within the framework of Jain philosophy and the organization of knowledge.

Significance in Jainism (general):

From: Trishashti Shalaka Purusha Caritra

(1) A feminine noun referring to category; suggests classification systems.[5]

Jainism is an Indian religion of Dharma whose doctrine revolves around harmlessness (ahimsa) towards every living being. The two major branches (Digambara and Svetambara) of Jainism stimulate self-control (or, shramana, 鈥榮elf-reliance鈥�) and spiritual development through a path of peace for the soul to progess to the ultimate goal.

The concept of Koti in local and regional sources

History Books

Koti is a multifaceted term related to time, geometry, and trigonometry, representing a unit of time, a complement in arc reduction, and a mathematical concept that illustrates theoretical understanding without practical application, especially in relation to right triangles and cosine calculations.

Significance in India history and geography:

From: History of Science in South Asia

(1) The koti is the cosine of the mandakendra and is not needed for manda correction, but is used in the overall calculation.[6] (2) This is the complement, and is used in the process of reducing an arc to the first quadrant, and its value is determined based on the bhuja.[7] (3) This is a unit of time, used in calculating the duration of half a kalpa, along with other units.[8] (4) This is a number that is not used in practice, and serves to demonstrate mathematical skill alone, as claimed by Moosad (1980).[9] (5) This means cosine, and the square of the hypotenuse (=diameter) is derived from separately the squares of sine (bahu) and cosine (koti), and it is one of the terms in the formula.[10]

Plural form: Kotis.