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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

1829.0. "Crux Mathematicorum 1899" by RUSURE::EDP (Always mount a scratch monkey.) Wed Dec 29 1993 14:05

    Proposed by Neven Juric, Zagreb, Croatia.
    
    In a triangle with circumradius R, three lines are drawn tangent to the
    inscribed circle and parallel to the sides, cutting three small
    triangles off the corners of the given triangle.  Let the circumradii
    of these triangles be R[a], R[b], R[c].  Show that R[a] + R[b] + R[c] =
    R.
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