- Jan 30, 2004Let ABC be a triangle, P a point, and Oa;Ha, Ob;Hb, Oc;Hc,
the circumcenters, Orthocenters of PBC, PCA, PAB.
The locus of P such that the lines
OaHa, ObHb, OcHc [Euler Lines] are concurrent is well-known.
Now, let O'a, H'a be the reflections of Oa, Ha in BC, resp.
Similarly O'b, H'b; O'c,H'c.
Which is the locus of P such that the lines
1. O'aHa, O'bHb, O'cHc
2. OaH'a, ObH'b, OcH'c
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