Thursday, February 4, 2021

1645. Group of Circles

1 comment:

  1. For any point $P$, $A$-Group and $C$-Group circles are valid. $C$-Group circle has diameter $OP$. Hence we have a generilazition for Brocard Circle. If $P=K$-symmedian point , $C$-Group circle is Brocard circle. For $P=X(1)$-incenter or $P=X(4)$-orthocenter, Center of $C$-group circle lies on $A$-Group circle.

    ReplyDelete

1987. Circumcenter On Euler Line

 Let H=X(4)-Orthocenter of ABC. A 1 B 1 C 1 cevian triangle of H. B1 A , C1 A are reflections of B1, C1 on A. L A , line through B1 A , C1...