Hindu Trigonometry

539 Words2 Pages
bulb-icon

Recommended: Trigonometry in daily life

Most of what we know concerning the development of trigonometry in India comes from influential works from the 4th – 5th century, known as the Siddhantas. There were five of these works with the most complete survivor being the Surya Siddhanta. These texts first defined the sine as the modern relationship between half an angle and half a chord. They also defined cosine, versine, and inverse sine. An Indian mathematician name Aryabhata (476 – 550 AD) later expanded on the developments of the Siddhantas in an influential and important work called the Aryabhatia. The Siddhantas and Aryabhatia contain the earliest surviving table of sine and versine values, in 3.75 degree intervals from 0 to 90 degrees, to an accuracy of 4 decimal places (History of Trigonometry).
The Hindu name for Trigonometry is Jyotpatti-ganita which translates to “The science of calculation for the construction of the sine”. The Hindus introduced and usually employed three trigonometric functions, namely jya, koti-jya, and utkrama-jya. These are related to our modern sine, cosine, and versine trigonometric...

Show More
Related

  • Comparing Hinduism and Buddhism

    1930 Words  | 4 Pages

    ...under the Gupta Empire. In the 16th century in Bengal, a sect of erotic mysticism was founded. This celebrated the union of Krishna and Radha in a Tantric theology heavily influenced by Tantric Buddhism.

    Read More

  • Columbus And Columbus: Ideas And Views Of Columbus

    1387 Words  | 3 Pages

    After 3rd century BC, Eratosthenes calculation about Earth's circumference was used correctly in different locations such as Alexandria and syene (Aswan now) by simple geometry and the shadows cast. Eratosthenes's results undertaken in 1ST century by Posidonius, were corroborated in Alexandria and Rhodes by the comparison between remarks is excellent.

    Read More

  • The Historical Context of The Bhagavad Gita and Its Relation to Indian Religious Doctrines

    2504 Words  | 6 Pages

    ...e first English translation of the Gita was published. All religious texts of ancient India were written in Sanskrit. In November 1784, the first direct translation of a Sanskrit work into English was completed by Charles Wilkins. The book that was translated was The Bhagavad Gita. Friedreich Max Mueller (1823-1900), the German Sanskritist who spent most of his working life as Professor of Comparative Philology at Oxford University, served as the chief editor of the Sacred Books of the East. (Oxford University Press). The Gita was included in this famous collection. Since then, the Gita has become one of the most widely-read texts of the world. True, there are unexplained contradictions and paradoxes in this brief book, but its wide-ranging implications based on the two ancient Darshans of India and its allegorical meanings are still being examined and reinterpreted.

    Read More

  • The Chakras

    595 Words  | 2 Pages

    The Vedas, which are the oldest written tradition in India, (2,000 - 600 B.C.) were written largely by the Indo-European invaders of India, known as the Aryans. The Aryans were said to have entered India on chariots, and the original meaning of the word chakra as "wheel" refers to the chariot wheels of the invading Aryans. (The correct spelling is cakra, though pronounced with a ch as in church.) The word was also a metaphor for the sun, which "traverses the world like the triumphant chariot of a cakravartin." (ruler) and denotes the eternal cycle of time called the kalacakra, or wheel of time. In this way, it represents celestial order and balance.

    Read More

  • The History of Mathematics in Africa

    1439 Words  | 3 Pages

    Mathematics in Islamic Civilization - Dr. Ragheb Elsergany - Islam Story. (n.d.). Islam Story - Supervised by Dr. Ragheb Elsergany. Retrieved April 26, 2011, from http://en.islamstory.com/mathematics-islamic-civilization.html

    Read More

  • The Role of Women in Buddhism

    2968 Words  | 6 Pages

    known in Northeast India in the 6th century BC. Looking back to the earliest roots,

    Read More

  • Ancient Greek Mathematics: Prime Numbers

    1205 Words  | 3 Pages

    The mathematicians of Pythagoras's school (500 BC to 300 BC) were interested in numbers for their mystical and numerological properties. They understood the idea of primality and were interested in perfect and amicable numbers.

    Read More

  • Gandhara Art: The Greco-Buddhist Art

    1002 Words  | 3 Pages

    It is said that the Gandhara artists had the “hand of a Greek but the head and heart of an Indian.” In Sanskrit it was known as Puruṣapura, which literally

    Read More

  • Caste System in India

    1481 Words  | 3 Pages

    Pandey, T. N., 2014. Lecture 1/9/14: Culture of India: Aryan and Indigenous Population. Cultures of India. U.C. Santa Cruz.

    Read More

  • sarvastivada buddhism

    1958 Words  | 4 Pages

    The Sarvastivadins, who established the Sarvastivada school of Buddhism, had a long established history which encompassed a vast geographical area of India. In the 2nd to 1st centuries B.C.E. the Sarvastivada school first came to the forefront in the northwestern part of India and was most prominent up to and including the 7th century A.D. The Sarvastivada school was one of the most important and influential Buddhist schools during the period of Abhidharma development.

    Read More

  • Religious Paths

    2028 Words  | 5 Pages

    When Hinduism originated as a religion it was mainly concerned with sacrifices for ancestors. The sacred texts - called the Vedas - on which Hinduism was based were the main root of the many different branches of Hindu philosophy. The Vedas originated around 1400-1200 BC. They consisted of several different documents, the oldest of them called the Rigveda. The Rigveda is considered to be the foundation of Brahmanic Hinduism. The main body of Rigveda's text contains mostly hymns dedicated to the ancient Hindu gods. The second text of Vedas is called the Yajurveda. It was written in 1200 BC. The main themes of Yajurveda are the sacred formulas recited by Brahmin priests during the performance of sacrifices. The third book of Vedas, Samveda (1100 BC), was also known as the Veda of chants. In its essence Samveda was an anthology of Rigveda writings. The last Veda is the Arthaveda (1200 BC).It consisted of hymns, incantations and magic charms.

    Read More

  • The Indian Mind and Heart

    896 Words  | 2 Pages

    Starting at the core of India, its heart can be correlated with Hinduism. Hinduism started in Indian approximately the third millennium BC and is still practiced in the present day. Also, as it is of Indian origin, its rightful place can be considered the heart of India. It can be said that Hinduism is substantially “outdated” by today’s standards as formidable religion of Indian majority. During the period of the caste social structure within India it was en excellent fit. But this ensures its position of the heart of India by being fundamental to the development of ancient India and forming modern India.

    Read More

  • Human Beings and Nature: The Scientific Revolution

    1682 Words  | 4 Pages

    The Scientific Revolution was sparked through Nicolaus Copernicusí unique use of mathematics. His methods developed from Greek astr...

    Read More

  • The Development of the Concept of Irrational Numbers

    1403 Words  | 3 Pages

    There are many people that contributed to the discovery of irrational numbers. Some of these people include Hippasus of Metapontum, Leonard Euler, Archimedes, and Phidias. Hippasus found the √2. Leonard Euler found the number e. Archimedes found Π. Phidias found the golden ratio. Hippasus found the first irrational number of √2. In the 5th century, he was trying to find the length of the sides of a pentagon. He successfully found the irrational number when he found the hypotenuse of an isosceles right triangle. He is thought to have found this magnificent finding at sea. However, his work is often discounted or not recognized because he was supposedly thrown overboard by fellow shipmates. His work contradicted the Pythagorean mathematics that was already in place. The fundamentals of the Pythagorean mathematics was that number and geometry were not able to be separated (Irrational Number, 2014).

    Read More

  • Mesopotamian Civilization Essay

    858 Words  | 2 Pages

    They constructed the 12-month calendar which they based on the cycles of the moon. Other than that, they also created a mathematical system based on the number 60 which they called the Sexagesimal. Though, our mathematics today is not based on their system it acts like a foundation for some mathematicians. They also used the basic mathematics- addition, subtraction, multiplication and division, in keeping track of their records- one of their contributions to this world, bookkeeping. It was also suggested that they even discovered the number of the pi for they knew how to solve the circumference of the circle (Atif, 2013).

    Read More

More about Hindu Trigonometry

Open Document