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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

1799.0. "Crux Mathematicorum 1870" by RUSURE::EDP (Always mount a scratch monkey.) Mon Sep 20 1993 15:16

    Proposed by K.R.S. Sastry, Addis Ababa, Ethiopia.
    
    [Submitted without solution.]
    
    In any convex pentagon ABCDE prove or disprove that
    
    	AC*BD + BD*CE + CE*DA + DA*EB + EB*AC
    		> AB*CD + BC*DE + CD*EA + DE*AB + EA*BC.
    
    (Note:  The first sum involves diagonals, the second sum involves
    sides.)
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