# The generalization of Miquels theorem

**Authors:** Anderson R. Vargas

arXiv: 1812.04175 · 2018-12-12

## TL;DR

This paper presents a Euclidean geometry-based generalization of Miquel's theorem, extending its applicability through Clifford's version, and demonstrates this generalization with geometric proofs.

## Contribution

It introduces a new generalization of Miquel's theorem based solely on Euclidean geometry, utilizing Clifford's approach.

## Key findings

- Successfully generalizes Miquel's theorem using Euclidean geometry.
- Provides geometric proofs for the generalized theorem.
- Enhances understanding of Miquel's theorem extensions.

## Abstract

This papper aims to present and demonstrate Clifford's version for a generalization of Miquel's theorem with the use of Euclidean geometry arguments only.

## Full text

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## Figures

10 figures with captions in the complete paper: https://tomesphere.com/paper/1812.04175/full.md

## References

4 references — full list in the complete paper: https://tomesphere.com/paper/1812.04175/full.md

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Source: https://tomesphere.com/paper/1812.04175