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

Author:

Hann Kathy

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference30 articles.

1. Apollonius (Heath), ?Apollonius of Perga, Treatise on Conic Sections. Edited in modern notation with introductions including an essay on the earlier history of the subject by T. L. Heath?, M.A. Cambridge, 1896.

2. Apollonius (Toomer), ?Apollonius, Conics, Books V to VII: The Arabic translation of the lost Greek original in the version of the Ban? M?sã. Edited with translation and commentary by G. J. Toomer?, Springer-Verlag, New York, 1990.

3. Bárány, I. and Zamfirescu, T., ?Diameters in typical convex bodies?,Canad. J. Math. XLII, No. 1 (1990), 50?61.

4. Besicovitch, A. S. and Zamfirescu, T., ?On pencils of diameters in convex bodies?,Rev. Roumaine Math. Pures Appl. 11 (1966), 637?639.

5. Blaschke, W., ?Einen Bemerkungen über Kurven und Flächen von konstanter Breite?,Ber. Verh. Sächs. Akad. Leipzig 67 (1915), 290?297.

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1. Convex Cones;Lecture Notes in Mathematics;2022

2. On the average number of normals through points of a convex body;Studia Scientiarum Mathematicarum Hungarica;2015-12

3. An Euler-type volume identity;Bulletin of the Australian Mathematical Society;1999-06

4. Minkowski normals for polycircles;Geometriae Dedicata;1999

5. An Euler-Type Version of the Local Steiner Formula for Convex Bodies;Bulletin of the London Mathematical Society;1998-11

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