SOME CHARACTERIZATIONS OF CONICS AND HYPERSURFACES WITH CENTRALLY SYMMETRIC HYPERPLANE SECTIONS

SOME CHARACTERIZATIONS OF CONICS AND HYPERSURFACES WITH CENTRALLY SYMMETRIC HYPERPLANE SECTIONS

Parallel conics have interesting area and chord properties. In this paper, we study such properties of conics and conic hypersurfaces. First of all, we characterize conics in the plane with respect to the above mentioned properties. Finally, we establish some characterizations of hypersurfaces with...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2024, Vol.39 (1), p.211-221
Hauptverfasser: Shin-Ok Bang, Dong Seo Kim, Dong-Soo Kim, Wonyong Kim
Format: Artikel
Sprache:kor
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Zusammenfassung:Parallel conics have interesting area and chord properties. In this paper, we study such properties of conics and conic hypersurfaces. First of all, we characterize conics in the plane with respect to the above mentioned properties. Finally, we establish some characterizations of hypersurfaces with centrally symmetric hyperplane sections.
ISSN:1225-1763
2234-3024