MathDB
TR = TS for intersecting circles

Source: 2017 Thailand October Camp 1.3

October 15, 2020
geometrycircumcircle

Problem Statement

Circles O1,O2O_1, O_2 intersects at A,BA, B. The circumcircle of O1BO2O_1BO_2 intersects O1,O2O_1, O_2 and line ABAB at R,S,TR, S, T respectively. Prove that TR=TSTR = TS