A theorem on circle configurations

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dc.creatorKocik, Jerzy
dc.date2007-06-04
dc.date2007-06-06
dc.date.accessioned2026-07-07T08:04:17Z
dc.date.available2026-07-07T08:04:17Z
dc.descriptionA formula for the radii and positions of four circles in the plane for an arbitrary linearly independent circle configuration is found. Among special cases is the recent extended Descartes Theorem on the Descartes configuration and an analytic solution to the Apollonian problem. The general theorem for n-spheres is also considered.
dc.description16 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/0706.0372
dc.identifierhttp://arxiv.org/abs/0706.0372
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129900
dc.subjectHistory and Overview
dc.subject52C26 (Primary); 11H55, 51M10 (Secondary)
dc.titleA theorem on circle configurations
dc.typetext

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