Dear Floor van Lamoen,
[FvL]: May I suggest another conjecture - or is this already known?:
Let A'B'C' be the reflections of ABC through a point D, then the
circumcircles of AB'C', A'BC' and A'B'C concur in a point.
*** Yes, this is the fourth intersection of the circumcircle with the
circumconic with center D.
Best regards
Sincerely
Paul Yiu
[FvL]: May I suggest another conjecture - or is this already known?:
Let A'B'C' be the reflections of ABC through a point D, then the
circumcircles of AB'C', A'BC' and A'B'C concur in a point.
*** Yes, this is the fourth intersection of the circumcircle with the
circumconic with center D.
Best regards
Sincerely
Paul Yiu
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