A sufficient condition for the convexity of the area of an isoptic curve of an oval
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Publication:2504910
zbMath1121.52011MaRDI QIDQ2504910
Publication date: 1 February 2007
Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/108612
Length, area, volume and convex sets (aspects of convex geometry) (52A38) Integral geometry (53C65) Convex sets in (2) dimensions (including convex curves) (52A10) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Related Items (8)
Isoptic surfaces of polyhedra ⋮ On curves with circles as their isoptics ⋮ A characterization of the Euclidean sphere with respect to an isoptic surface ⋮ Translation-like isoptic surfaces and angle sums of translation triangles in \(\mathbf{Nil}\) geometry ⋮ Some properties of secantoptics of ovals ⋮ Isoptic curves of generalized conic sections in the hyperbolic plane ⋮ Mellish theorem for generalized constant width curves ⋮ \(\alpha\)-isoptics of a triangle and their connection to \(\alpha\)-isoptic of an oval
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