# Mathematician:Mahāvīrāchārya

## Mathematician

**Mahāvīrāchārya** (literally: **Mahāvīrā the teacher**) was an Indian mathematician best known for separating the subject of mathematics from that of astrology.

Gave the sum of a series whose terms are squares of an arithmetical progression and empirical rules for area and perimeter of an ellipse.

## Nationality

Indian

## History

- Born: c. 800, possibly Mysore, India
- Died: c. 870, India

## Achievements

- Solutions of equations of the forms $ax^n = q$ and $a \dfrac{x^n - 1}{x - 1} = p$

- Formulas for the sides and diagonals of a cyclic quadrilateral

## Publications

- c. 850:
*Ganita Sara Samgraha*("Compendium of the Essence of Mathematics" or "Compendium of Calculations"), an updating of Brahmagupta's*Brahmasphutasiddhanta*

## Sources

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): A List of Mathematicians in Chronological Sequence - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): A List of Mathematicians in Chronological Sequence - 2008: Ian Stewart:
*Taming the Infinite*... (previous) ... (next): Chapter $3$: Notations and Numbers