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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…
math.RA2025★ 1 cited
Rational Motions of Minimal Quaternionic Degree with Prescribed Plane Trajectories
Zülal Derin Yaqub, Hans-Peter Schröcker
This paper investigates the construction of rational motions of a minimal quaternionic degree that generate a prescribed plane trajectory (a ``rational torse''). Using the algebrai…