n distinct circles , k lines
Source: Rioplatense 2017 L3 P2
September 19, 2022
geometrycombinatorial geometrycombinatorics
Problem Statement
One have distinct circles(with the same radius) such that for any circles there are (at least) two circles that intersects in two points. Show that for each line one can make lines, each one parallel with , such that each circle has (at least) one point of intersection with some of these lines.