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Some extremal properties of convex sets

Published online by Cambridge University Press:  24 October 2008

J. N. Lillington
J. N. Lillington
Affiliation:
‘Carols’, Westhill Road, Lyme Regis, Dorset.
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Extract

In this paper we shall suppose that all convex sets are compact convex subsets of Euclidean space En. We shall be concerned in producing upper and lower bounds for the ‘total edge lengths’ of simplices which are contained in or contain arbitrary convex sets in terms of the inradii and circumradii of these sets. However, before proceeding further, we shall introduce some notation and give some motivation for this work.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 3 , May 1975 , pp. 515 - 524
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCES

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