The average number of normals through a point in a convex body and a related Euler-type identity

DOI10.1007/BF01265675zbMath0793.52001OpenAlexW2330685373MaRDI QIDQ1311602

Kathy Hann

Publication date: 1 February 1994

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01265675

zbMATH Keywords

convex bodynormalcentrally symmetricaverage numberEuler type relation

Mathematics Subject Classification ID

Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

An Euler-type volume identity ⋮ On the mean number of normals through a point in the interior of a convex body

Cites Work

• The difference body of a convex body
• On the centroid of a homogeneous wire
• Diameters in Typical Convex Bodies
• Zu einem maßgeometrischen Satz über Körper konstanter Breite
• Note on a “Square” Functional Equation
• Diameters of Convex Bodies
• Note on convex spherical curves
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