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Journals / International Electronic Journal of Geometry / 2021 / Volume: 14 Issue: 2

Reversion Porisms in Conics

Lorenz Halbeısen(ETH Zürich)0000-0001-6078-7237
Norbert Hungerbühler(ETH Zurich)0000-0001-6191-0022
Marco Schiltknecht(ETH Zürich)0000-0001-7381-2999
Pages
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Publication Date
2021-10-29
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also investigate projective properties of the porisms.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We give a projective proof of the butterfly porism for cyclic quadrilaterals and present a general reversion porism for polygons with an arbitrary number of vertices on a conic.
📊
Key Findings & Data:We give a projective proof of the butterfly porism for cyclic quadrilaterals and present a general reversion porism for polygons with an arbitrary number of vertices on a conic.
💡
Conclusion & Impact:We also investigate projective properties of the porisms.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Porisms · butterfly theorems · reversion map

Abstract

We give a projective proof of the butterfly porism for cyclic quadrilaterals and present a general reversion porism for polygons with an arbitrary number of vertices on a conic. We also investigate projective properties of the porisms.

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Cite This Article

Halbeısen, L., Hungerbühler, N., Schiltknecht, M. (2021). Reversion Porisms in Conics. International Electronic Journal of Geometry, Volume: 14 Issue: 2. https://doi.org/10.36890/iejg.979088

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References (8)

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