Line transversals for homothetical systems of polygons in $R^2$

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dc.creatorKaukic, Michal
dc.date2005-11-20
dc.date.accessioned2026-07-07T06:51:30Z
dc.date.available2026-07-07T06:51:30Z
dc.descriptionFor given finite system of convex polygons in the plane which have no transversal, find such homothety transformations of polygons (having fixed centres inside given polygons) with minimal similarity ratio c>1 that the transformed system has a transversal. We prove that in this minimal configuration, we can always find three polygons (two of them lying in distinct halfplanes determined by the transversal), for which the transversal is also the tangent line.
dc.description6 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0511496
dc.identifierhttp://arxiv.org/abs/math/0511496
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105006
dc.subjectMetric Geometry
dc.subject52A35
dc.titleLine transversals for homothetical systems of polygons in $R^2$
dc.typetext

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