MathDB
Sharygin CR 2019 P10

Source:

March 6, 2019
geometry

Problem Statement

Let NN be the midpoint of arc ABCABC of the circumcircle of ΔABC\Delta ABC, and NPNP, NTNT be the tangents to the incircle of this triangle. The lines BPBP and BTBT meet the circumcircle for the second time at points P1P_1 and T1T_1 respectively. Prove that PP1=TT1PP_1 = TT_1.
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