The essential uniqueness of the Connes-Morley theorem

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Article on the essential uniqueness of the Connes-Morley theorem.

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25 p.

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Anghel, Nicolae 2006.

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Article on the essential uniqueness of the Connes-Morley theorem.

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25 p.

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Copyright 2006 American Romanian Academy of Arts and Sciences.

Abstract: We use work by A. Connes to explore possible generalizations of Morley's trisector theorem to triangles in arbitrary valued fields. We find that Morley's theorem is essentially an unique phenomenon. However, tri-sectioning procedures different from Morley's do exist for generic sets of triangles.

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  • Libertas Mathematica, 2006, Berkeley: American Romanian Academy of Arts and Sciences

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  • Publication Title: Libertas Mathematica
  • Volume: XXVI
  • Peer Reviewed: Yes

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  • 2006

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  • Nov. 22, 2013, 10:18 a.m.

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  • Nov. 18, 2014, 9:49 a.m.

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Anghel, Nicolae. The essential uniqueness of the Connes-Morley theorem, article, 2006; [Berkeley, California]. (digital.library.unt.edu/ark:/67531/metadc234927/: accessed December 15, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.