An inequality between the parts into which a convex body is divided by a plane section
A new proof is given of an inequality of J. Bokowski and E. Sperner [1] referring to the product of the volume of the two parts into which a convex body is divided by a plane. The proof, which is given for dimensions n=2, 3 uses known formulas of Integral Goemetry and is generalized to convex bodies...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0009725X_v32_n1_p124_Santalo |
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todo:paper_0009725X_v32_n1_p124_Santalo2023-10-03T14:08:40Z An inequality between the parts into which a convex body is divided by a plane section Santaló, L.A. A new proof is given of an inequality of J. Bokowski and E. Sperner [1] referring to the product of the volume of the two parts into which a convex body is divided by a plane. The proof, which is given for dimensions n=2, 3 uses known formulas of Integral Goemetry and is generalized to convex bodies of the elliptic and hyperbolic spaces. © 1983, Springer. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0009725X_v32_n1_p124_Santalo |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
A new proof is given of an inequality of J. Bokowski and E. Sperner [1] referring to the product of the volume of the two parts into which a convex body is divided by a plane. The proof, which is given for dimensions n=2, 3 uses known formulas of Integral Goemetry and is generalized to convex bodies of the elliptic and hyperbolic spaces. © 1983, Springer. All rights reserved. |
| format |
JOUR |
| author |
Santaló, L.A. |
| spellingShingle |
Santaló, L.A. An inequality between the parts into which a convex body is divided by a plane section |
| author_facet |
Santaló, L.A. |
| author_sort |
Santaló, L.A. |
| title |
An inequality between the parts into which a convex body is divided by a plane section |
| title_short |
An inequality between the parts into which a convex body is divided by a plane section |
| title_full |
An inequality between the parts into which a convex body is divided by a plane section |
| title_fullStr |
An inequality between the parts into which a convex body is divided by a plane section |
| title_full_unstemmed |
An inequality between the parts into which a convex body is divided by a plane section |
| title_sort |
inequality between the parts into which a convex body is divided by a plane section |
| url |
http://hdl.handle.net/20.500.12110/paper_0009725X_v32_n1_p124_Santalo |
| work_keys_str_mv |
AT santalola aninequalitybetweenthepartsintowhichaconvexbodyisdividedbyaplanesection AT santalola inequalitybetweenthepartsintowhichaconvexbodyisdividedbyaplanesection |
| _version_ |
1807323753944711168 |