Summary
If the sum of the circumferences of a finite number of convex domains is smaller than the circumference of the convex envelope, then there is a straight line who is separating the convex domains.
Article PDF
Use our pre-submission checklist
Avoid common mistakes on your manuscript.
Literatur
A circle covering theorem. Amer. Math. Monthly52, 494–498 (1945).
W. Blaschke, Vorlesungen über Integralgeometrie, 1. Heft, B. G. Teubner, Leipzig und Berlin 1936, S. 11, Formel (60).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hadwiger, H. Separierbarkeit ebener Eibereiche durch eine Gerade. Experientia 2, 362 (1946). https://doi.org/10.1007/BF02163938
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02163938