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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

1795.0. "Crux Mathematicorum 1866" by RUSURE::EDP (Always mount a scratch monkey.) Mon Sep 20 1993 18:09

    Proposed by Marcin E. Kuczma, Warszawa, Poland.
    
    Perpendicular chords AC, BD of a given circle intersect in point J. 
    Let P, Q, R be the orthogonal projections of J onto segments AB, BC, CD
    respectively and let N be the midpoint of AD.  Prove that N, P, Q, R
    are concyclic.
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