[Tran Quang Hung]:
Dear Mr Antreas Hatzipolakis, I see a similar problem as following
Let ABC be a triangle, with incenter I.
Denote:
A', B', C' = the reflections of I in midpoints of BC, CA, AB, resp.
A", B", C" = the circumcenters of IBC, ICA, IAB, resp.
The NPCs of AA'A", BB'B", CC'C" are coaxial.
Which are your intersection ?
Let ABC be a triangle, with incenter I.
Denote:
A', B', C' = the reflections of I in midpoints of BC, CA, AB, resp.
A", B", C" = the circumcenters of IBC, ICA, IAB, resp.
The NPCs of AA'A", BB'B", CC'C" are coaxial.
Which are your intersection ?
[A', B', C' = the refletions of A, B, C, resp. in Spieker point X10]
[Angel Montesdeoca, Hyacinthos 25322]
(a^2 (b+c)+a (b^2-6 b c+c^2)-b^3+2 b^2 c+2 b c^2-c^3:...:...),
with (6-9-13)-search numbers (4.37905905513746,-2. 67770277764476,3. 47335453329039).
Is the reflection of X(i) in X(j) for these {i,j}: {10,121}, {106,1125}.
(a^2 (b+c)+a (b^2-6 b c+c^2)-b^3+2 b^2 c+2 b c^2-c^3:...:...),
with (6-9-13)-search numbers (4.37905905513746,-2. 67770277764476,3. 47335453329039).
Is the reflection of X(i) in X(j) for these {i,j}: {10,121}, {106,1125}.
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