# Mensuration of quadrilaterals in the L\={\i}l\=avat\={\i}

**Authors:** S.G. Dani

arXiv: 1704.02459 · 2017-04-11

## TL;DR

This paper explores the historical development of mensuration techniques for quadrilaterals in the L	ext={	extcrh}l	ext={	extcrh}vat	ext={	extcrh} and related Indian mathematical traditions, highlighting new features introduced in Bh	ext={	extcrh}skarac	ext={	extcrh}rya's work.

## Contribution

It provides a historical analysis of the evolution of quadrilateral mensuration methods in Indian mathematics, emphasizing novel features in Bh	ext={	extcrh}skarac	ext={	extcrh}rya's L	ext={	extcrh}l	ext={	extcrh}vat	ext={	extcrh}.

## Key findings

- Identification of new features in Bh	ext={	extcrh}skarac	ext={	extcrh}rya's mensuration methods
- Historical perspective on Indian quadrilateral mensuration techniques
- Comparison with earlier Siddh	ext={	extcrh}nta traditions

## Abstract

Mensuration with quadrilaterals had received attention in the Siddh\=anta tradition at least since Brahmagupta. However, in Bh\=askarac\=arya's L\={\i}l\=avat\={\i} we come across some distinctively new features. In this paper an attempt is made to put the development in historical perspective.

## Full text

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## References

17 references — full list in the complete paper: https://tomesphere.com/paper/1704.02459/full.md

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Source: https://tomesphere.com/paper/1704.02459