2007/06/04 by Jerzy Kocik, Kocik, Jerzy · 3 citations
Engineering · Mathematics · #11H55 #51M10 (Secondary) #52C26 (Primary) #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Mathematics #History and Overview (math.HO) #History and Theory of Mathematics #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.0706.0372
openalex publication_date 2007/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A 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.