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The Erdős-Mordell inequality is equivalent to non-positive curvature |
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| Authors: | Victor Pambuccian |
| Institution: | (1) Department of Integrative Studies, Arizona State University - West campus, P. O. Box 37100, Phoenix, AZ, 85069-7100, U.S.A. |
| 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. |
| Keywords: | 51M04 51M09 51F05 03C35 |
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