# Squaring the Circle Revisited

**Authors:** Hung Viet Chu

arXiv: 1908.01202 · 2025-02-04

## TL;DR

This paper presents new geometric constructions for squaring the circle, achieving accuracy to three and nine decimal places, improving upon previous methods by Ramanujan and Dixon.

## Contribution

The authors introduce two novel constructions for squaring the circle, one accurate to three decimal places and another to nine decimal places, enhancing geometric approximation techniques.

## Key findings

- Construction correct to three decimal places
- Construction correct to nine decimal places
- Improved approximation accuracy over previous methods

## Abstract

Squaring the circle is impossible, but it can be squared approximately. Ramanujan gave a construction correct to eight decimal places. In his book Mathographics, Dixon gave constructions correct to three decimal places. In this article, we provide a new construction correct to three decimal places and another correct to nine decimal places.

## Full text

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## Figures

1 figure with captions in the complete paper: https://tomesphere.com/paper/1908.01202/full.md

## References

5 references — full list in the complete paper: https://tomesphere.com/paper/1908.01202/full.md

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Source: https://tomesphere.com/paper/1908.01202