A forgotten little chapter on isoperimetric inequalities: On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter

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dc.creatorPacheco, Jose M.
dc.date2007-01-21
dc.date.accessioned2026-07-07T07:42:21Z
dc.date.available2026-07-07T07:42:21Z
dc.descriptionOften some interesting or simply curious points are left out when developing a theory. It seems that one of them is the existence of an upper bound for the fraction of area of a convex and closed plane area lying outside a circle with which it shares a diameter, a problem stemming from the theory of isoperimetric inequalities. In this paper such a bound is constructed and shown to be attained for a particular area. It is also shown that convexity is a necessary condition in order to avoid the whole area lying outside the circle.
dc.description6 pages, 5+2 figures
dc.identifierhttps://arxiv.org/abs/math/0701589
dc.identifierhttp://arxiv.org/abs/math/0701589
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122416
dc.subjectGeneral Mathematics
dc.subject52A10,52A38
dc.titleA forgotten little chapter on isoperimetric inequalities: On the fraction of a convex and closed plane area lying outside a circle with which it shares a diameter
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