Let P be a point; Oa, Ob, Oc the circumcenters
of PBC, PCA, PAB; Qa, Qb, Qc the antigonals of Oa, Ob, Oc in ABC.
1) The circles {QaBC}, {QbCA}, {QcAB}
have a common point, and when P lies in the circumcircle this point is
X(265)
2) The circles {AQbQc}, {BQcQa},
{CQaQb} have a common point, and when P is the orthocenter this point is
X(110)

