Continued from X3542
Let N, N1, N2, N3 be the NPC centers of ABC, A2BC, B2CA, C2AB.
Are N,N1,N2,N3 lying on a circle (with center on the HO line [Euler Line], and for a point P instead of O, on the HP line)?
APH, 10 February 2012
---------------------------------------
It is true for P = O (see the proof in the comment).
I name the circle as EL CRECO circle in honor of the great Cretan - Spanish painter DOMINICOS THEOTOKOPOULOS known as EL GRECO
APH
Let N, N1, N2, N3 be the NPC centers of ABC, A2BC, B2CA, C2AB.
APH, 10 February 2012
---------------------------------------
It is true for P = O (see the proof in the comment).
I name the circle as EL CRECO circle in honor of the great Cretan - Spanish painter DOMINICOS THEOTOKOPOULOS known as EL GRECO
APH
