Is a convex plane body determined by an isoptic?
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Publication:664226
DOI10.1007/S13366-011-0074-2zbMath1235.52005OpenAlexW2040965718MaRDI QIDQ664226
Publication date: 29 February 2012
Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)
Full work available at URL: http://publicatio.bibl.u-szeged.hu/15946/1/bodyisop.pdf
Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10)
Related Items (9)
Isoptic surfaces of polyhedra ⋮ Visual distinguishability of polygons ⋮ On inverse construction of isoptics and isochordal-viewed curves ⋮ Translation-like isoptic surfaces and angle sums of translation triangles in \(\mathbf{Nil}\) geometry ⋮ Isoptic surfaces of segments in \(\mathbf{S}^2 \times \mathbf{R}\) and \(\mathbf{H}^2 \times \mathbf{R}\) geometries ⋮ The shadow picture problem for parallel straight lines ⋮ Isoptic curves of generalized conic sections in the hyperbolic plane ⋮ Isoptic characterization of spheres ⋮ \(\alpha\)-isoptics of a triangle and their connection to \(\alpha\)-isoptic of an oval
Cites Work
- Unnamed Item
- An integral formula related to inner isoptics
- Integral formulas related to ovals
- The shadow picture problem for nonintersecting curves
- Kurven mit isoptischer Ellipse. (Curves with isotopic ellipse)
- Sets subtending a constant angle on a circle
- Isoptic Characterization of a Circle (Proof of a Conjecture of M. S. Klamkin)
- Conjectured Isoptic Characterization of a Circle
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