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1. CMB 2010 (vol 53 pp. 534)
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Acute Triangulation of a Triangle in a General Setting
We prove that, in ordered plane geometries endowed with a very weak
notion of orthogonality, one can always triangulate any triangle
into seven acute triangles, and, in case the given triangle is not
acute, into no fewer than seven.
Categories:51G05, 51F20, 51F05 |