131 citations
- Macedonian Academy of Sciences and ArtsMK6 papers
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- Fraunhofer Institute for Telecommunications, Heinrich Hertz InstituteDE2 papers
- Universität InnsbruckAT2 papers
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- FernUniversität in HagenDE1 paper
- Hong Kong University of Science and TechnologyHK1 paper
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math.MG2025
Exparabolas of a Triangle
Martin Lukarevski, Hans-Peter Schröcker
Among a triangle's exparabolas (parabolas escribed to the triangle), three are distinguished by having locally maximal parameter. They are determined by a simple cubic equation and…
math.MG2025
Uniqueness of Maximal Inscribed Parabolas and Minimal Circumscribing Horocycles
Martin Lukarevski, Hans-Peter Schröcker
We prove existence of three unique ``max-exparabolas'' to a triangle. Each of these parabolas is internally tangent to one edge and the two other sides. Among all like parabolas, i…