On convex bodies with isoptic chords of constant length

DOI10.1007/s00010-020-00716-3zbMath1454.52003OpenAlexW3008183463MaRDI QIDQ2216450

A. Rosario Jiménez-Sánchez, Francisco G. Jimenez-Lopez, Jesús Jerónimo-Castro

Publication date: 16 December 2020

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-020-00716-3

zbMATH Keywords

convex bodies\(\alpha \)-chords of constant lengthEuclidean discs

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (7)

On isoptics and isochordal-viewed curves ⋮ On curves with circles as their isoptics ⋮ On inverse construction of isoptics and isochordal-viewed curves ⋮ Some characterizations of the disc by properties of isoptic triangles ⋮ Some results about equichordal convex bodies ⋮ An explicit characterization of isochordal-viewed multihedgehogs with circular isoptics ⋮ Regular polygons on isochordal-viewed hedgehogs

Cites Work

• Notes on differential geometry
• An inequality for the length of isoptic chords of convex bodies
• Sets subtending a constant angle on a circle
• Isoptic Characterization of a Circle (Proof of a Conjecture of M. S. Klamkin)
• Parallelograms inscribed in a curve having a circle as π/2-isoptic
• Conjectured Isoptic Characterization of a Circle
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