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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1793.0. "Crux Mathematicorum 1864" by RUSURE::EDP (Always mount a scratch monkey.) Mon Sep 20 1993 18:07

    Proposed by George Tsintsifas, Thessaloniki, Greece.
    
    Consider the three excircles of a given triangle ABC.  Let P be the
    radius of the circle containing and internally tangent to these three
    circles.  Prove that P >= 7r, where r is the inradius of triangle ABC.
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