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Re: [cgal-discuss] coplanarity of weighted circumcenters


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  • Subject: Re: [cgal-discuss] coplanarity of weighted circumcenters
  • Date: Thu, 4 Jan 2007 15:46:49 +0100 (CET)
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Le Ven 29 décembre 2006 10:12,

a écrit :
> If I have two neighbouring points in regular triangulation and compute
> weighted circumcenters of all cells which contain these two points, will
> those weighted circumcenters be coplanar?

Any such "weighted circumcenter" is a vertex of the dual face of the edge
you are considering. This face is planar, and its supporting hyperplane is
called the radical hyperplane of the two spheres corresponding to the
endpoints of the edge.
--
Camille Wormser




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