Is there a planar convex set with given width, diameter, and inradius?

American Mathematical Monthly

Volumn 107, Issue 10, 2000, Pages 893-900

  Cifre, Maria H ^a  

^a TECHNICAL UNIVERSITY OF CARTAGENA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034344485     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2695582     Document Type: Article

References (9)

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3. J. D. Burago and V. A. Zalgaller, Geometric Inequalities, Springer, Berlin, 1988 (Russian original: 1980).
4. M. A. Hernández Cifre and S. Segura Gomis, The Missing Boundaries of the Santaló Diagrams for the Cases (d, ω, R) and (ω, R, r), to appear in Discrete Comput. Geom.
5. J. R. Sangwine-Yager, The Missing Boundary of the Blaschke Diagram, Amer. Math. Monthly 96 (1989) 233-237.
6. J. R. Sangwine-Yager, Mixed Volumes, Handbook of Convex Geometry, P. M. Gruber and J. M. Wills eds., North-Holland, Amsterdam, 1993.
7. L. Santaló, Sobre los sistemas completos de desigualdades entre tres elementos de una figura convexa plana, Math. Notae 17 (1961) 82-104.
8. R. Schneider, Convex Bodies: The Brunn-Minkowski Theory, Cambridge University Press, Cambridge, 1993.
9. P. R. Scott, A family of inequalities for convex sets, Bull. Austral. Math. Soc. 20 (1979) 237-245.