TOT 026 1982 Autumn J4 20 points in circle, 20 equal arcs, 10 chords
Source:
August 18, 2019
geometrycombinatorial geometrypointscirclesarcchord
Problem Statement
(a) points dividing a circle into equal arcs are connected in pairs by chords.
Is it necessary that two of these chords are of equal length? (b) points dividing a circle into equal arcs are connected in pairs by chords.
Prove that among these chords there are two chords of equal length.(VV Proizvolov, Moscow)