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Journals / International Electronic Journal of Geometry / 2022 / Volume: 15 Issue: 2

Quadrilaterals as Geometric Loci

Lorenz Halbeısen(ETH Zürich)0000-0001-6078-7237
Norbert Hungerbühler(ETH Zurich)0000-0001-6191-0022
Juan Läuchli(Kantonsschule Frauenfeld)0000-0001-6200-7708
Pages
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Publication Date
2022-10-31
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

We give necessary and sufficient conditions, both algebraic and geometric, for a quadrilateral to be the level set of the sum of the distances to m ≥ 2 different lines.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We give necessary and sufficient conditions, both algebraic and geometric, for a quadrilateral to be the level set of the sum of the distances to m ≥ 2 different lines.
📊
Key Findings & Data:We give necessary and sufficient conditions, both algebraic and geometric, for a quadrilateral to be the level set of the sum of the distances to m ≥ 2 different lines.
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Conclusion & Impact:We give necessary and sufficient conditions, both algebraic and geometric, for a quadrilateral to be the level set of the sum of the distances to m ≥ 2 different lines.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Quadrilaterals · geometric locus · harmonic points

Abstract

We give necessary and sufficient conditions, both algebraic and geometric, for a quadrilateral to be the level set of the sum of the distances to m ≥ 2 different lines.

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Cite This Article

Halbeısen, L., Hungerbühler, N., Läuchli, J. (2022). Quadrilaterals as Geometric Loci. International Electronic Journal of Geometry, Volume: 15 Issue: 2. https://doi.org/10.36890/iejg.1062741

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References (6)

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  4. Lorenz Halbeisen, Norbert Hungerbühler, and Juan Läuchli. Mit harmonischen Verhältnissen zu Kegelschnitten. Perlen der klassischen Geometrie. Springer Spektrum, Berlin, 2021.
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