Problems for Plane Figures related to Conic Sections

Penka Rangelova, Marta Teofilova
University of Plovdiv Paisii Hilendarski, Plovdiv (Bulgaria)

https://doi.org/10.53656/math2026-2-7-ppf

Abstract. This work is dedicated to problems involving plane figures defined by
points related to conic sections. The presented problems involve finding elements or areas
of convex polygons whose vertices lie on ellipses, hyperbolas, and parabolas. Extremal
area problems are also considered.
Keywords: conic sections, ellipse, hyperbola, parabola, circle, polygons

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