# Difference between revisions of "Nine point circle"

Also known as Euler's circle or Feuerbach's circle, as its name introduces itself that the nine point circle goes through nine points, which are a given triangle $\triangle ABC$'s feet of altitude dropped from three vertices $A,B$, and $C$, usually denoted as $H_A,H_B,H_C$, and midpoints of three sides, as $M_A,M_B,M_C$, and three Euler points $E_A,E_B,E_C$.