# Mathematician:Aryabhata the Elder

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## Contents

## Mathematician

Indian mathematician and astronomer.

An early believer in the irrationality of $\pi$, and developed an approximation for it of $3.1416$.

Developed a positional system of numerals in c. $500$, but it lacked a symbol for zero.

## Nationality

Indian

## History

- Born: 476, Kusumapura (now Patna), India
- Died: 550, India

## Theorems

- Sine, cosine and versine, under the names
**jyā**,**koti-jyā**and**utkrama-jyā**. - Area of Triangle in Terms of Side and Altitude
- Aryabhata Algorithm
- Aryabhata Numeration

## Publications

- 499:
*Aryabhatiya*(or*Ashmakatantra*, as it is referred to by Bhaskara I in his commentary*Aryabhatiyabhasya*) *Arya-Siddhanta*

- Several more lost treatises on mathematics and astronomy

## Also known as

The name can also be rendered **Āryabhaṭa**.

**Aryabhata the Elder** is also referred to as **Aryabhata $\text I$** to distinguish him from Aryabhata II who lived some $400$ years later.

## Sources

- John J. O'Connor and Edmund F. Robertson: "Aryabhata the Elder": MacTutor History of Mathematics archive

- 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next): Entry:**Aryabhata**(c.475-c.550) - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next): Entry:**Aryabhata**(c.475-c.550) - 2008: Ian Stewart:
*Taming the Infinite*... (previous) ... (next): Chapter $3$: Notations and Numbers: Brahmagupta, Mahavira and Bhaskara - 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next): Entry:**Āryabhata**(about 476-550)