2 circumcircles of similar triangles and 2 lines concurrent
Source: : I Soros Olympiad 1994-95 Ukraine R2 9.2 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
June 6, 2024
geometrycircumcirclesimilar triangles
Problem Statement
Triangles and are similar to each other and have the same orientation. Prove that the circles circumcribed around these triangles and the straight lines , have a common point.