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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

1713.0. "CMJ Problem 493" by RUSURE::EDP (Always mount a scratch monkey.) Thu Jan 28 1993 13:19

    Proposed by K. R. S Sastry, Addis Ababa, Ethiopia.
    
    Let ABCDE be a convex, affinely regular pentagon in which each side is
    parallel to a diagonal.  Let P, Q, R, S, T be points on the sides CD,
    DE, EA, AB, BC, respectively, so that AP, BQ, CR, DS, ET concur at X. 
    Describe the set of points X for which
    
    	XP   XQ   XR   XS   XT
        -- + -- + -- + -- + --
    	PA   QB   RC   SD   TE
    
    is constant.
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