Abstract.
We prove that, in plane absolute geometry, the Erdős-Mordell inequality is equivalent to the statement that the sum of the angles of a triangle is less than or equal to two right angles.
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Pambuccian, V. The Erdős-Mordell inequality is equivalent to non-positive curvature. J. geom. 88, 134–139 (2008). https://doi.org/10.1007/s00022-007-1961-4
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DOI: https://doi.org/10.1007/s00022-007-1961-4