Article on Morley's miracle theorem. The authors use work by A. Connes to explore possible generalizations of Morley's trisector theorem to triangles in arbitrary value fields.
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Article on Morley's miracle theorem. The authors use work by A. Connes to explore possible generalizations of Morley's trisector theorem to triangles in arbitrary value fields.
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11 p.
Notes
Copyright 2004 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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